<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    mme
   </journal-id>
   <journal-title-group>
    <journal-title>
     Modern Mechanical Engineering
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2164-0165
   </issn>
   <issn publication-format="print">
    2164-0181
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/mme.2025.151001
   </article-id>
   <article-id pub-id-type="publisher-id">
    mme-142210
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Engineering
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Energy Efficiency and Thermal Comfort: HVAC Design for an American Restaurant Environment
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Abdullah Al Hossain
      </surname>
      <given-names>
       Newaz
      </given-names>
     </name>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Zheng
      </surname>
      <given-names>
       Li
      </given-names>
     </name>
    </contrib>
   </contrib-group> 
   <aff id="affnull">
    <addr-line>
     aDepartment of Mechanical Engineering, University of Bridgeport, Bridgeport, USA
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     28
    </day> 
    <month>
     02
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    15
   </volume> 
   <issue>
    01
   </issue>
   <fpage>
    1
   </fpage>
   <lpage>
    17
   </lpage>
   <history>
    <date date-type="received">
     <day>
      9,
     </day>
     <month>
      January
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      25,
     </day>
     <month>
      January
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      25,
     </day>
     <month>
      February
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    This paper represents the complete design of an HVAC system for an American Restaurant in Madison Wisconsin, especially focusing on balancing comfort, capability and cost-efficiency. A number of crucial factors are taken into account in the system design, such as duct size, airflow rates, heating and cooling loads, and weather conditions. To attain balanced pressure drops and ideal airflow distribution, the paper used the equal friction method for duct sizing. Building Drawings were created using Revit 2021 Software. Which helped with the accurate planning of diffuser and air handling unit (AHU) locations. In order to ensure compliance with industry standards, thorough calculations for pressure drops, ventilation needs, and thermal loads were carried out. The resulting HVAC system design shows a viable and successful solution for medium-sized restaurant buildings by efficiently managing energy flows, enhancing indoor air quality, and creating a comfortable environment for occupants.
   </abstract>
   <kwd-group> 
    <kwd>
     HVAC Design
    </kwd> 
    <kwd>
      Restaurant
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>This paper examines the energy flow in buildings and the complexities of HVAC system design, highlighting important factors for effective and efficient thermal management <xref ref-type="bibr" rid="scirp.142210-1">
     [1]
    </xref> <xref ref-type="bibr" rid="scirp.142210-2">
     [2]
    </xref>. Energy flow, both positive and negative, comes from different places in a structure. Air temperature is determined by sensible heat, but humidity levels are affected by latent heat that comes from structures such as windows, roofs, and walls <xref ref-type="bibr" rid="scirp.142210-3">
     [3]
    </xref>. When ventilation or infiltration is combined with a temperature difference between the interior and outside air, heating or cooling must be provided; these losses or gains might be considered sensible or latent. Moreover, this complex energy interaction is facilitated by internal heat sources including equipment, people, and illumination. In the end, the HVAC system’s heating or cooling load is determined by the total of these various energy flows.</p>
   <p>Determining design loads often involves streamlining assumptions and modifying techniques to accommodate certain building kinds. For minor building heating loads, for example, steady-state techniques are sufficient; nevertheless, rapid fluctuations in sensible and latent loads are critical for air conditioning system size. A crucial component, meantime, is the methodical use of engineering concepts in duct design. In order to enhance HVAC system efficiency and ensure exact delivery of conditioned air to different zones, it looks for the best route for conditioned air, taking into account air velocity, pressure drops, and temperature properties <xref ref-type="bibr" rid="scirp.142210-4">
     [4]
    </xref>.</p>
   <p>Important duct design elements include pressure drop studies, friction loss computations, and using psychometrics to comprehend the thermodynamic characteristics of air. By following these guidelines, engineers can regulate temperature and humidity, maximize airflow dispersion, and improve indoor air quality <xref ref-type="bibr" rid="scirp.142210-5">
     [5]
    </xref>. The equal friction method, which is popular for commercial HVAC systems because it is easy to use and efficient for medium-scale to large-scale installations, will be the main topic of this paper <xref ref-type="bibr" rid="scirp.142210-6">
     [6]
    </xref>.</p>
  </sec><sec id="s2">
   <title>2. Building Specifications</title>
   <p>Maximum of 250 patrons (about 60 tables).</p>
   <p>Cooking staff-6.</p>
   <p>Waitpersons-10.</p>
   <p>Hostess-1.</p>
   <p>120 × 80 ft rectangular foundation, concrete slab-on-grade surface covered with indoor/outdoor carpeting.</p>
  </sec><sec id="s3">
   <title>3. Building Sketch Drawings</title>
   <p>The building sketches have been done in Revit. It is a powerful Building Information Modeling (BIM) software that allows engineers and designers to create a comprehensive digital representation of the building’s MEP.</p>
   <p>The building area details in square feet are as follows (<xref ref-type="table" rid="table1">
     Table 1
    </xref>).</p>
   <table-wrap id="table1">
    <label>
     <xref ref-type="table" rid="table1">
      Table 1
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 1. Zone area data.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="25.02%"><p style="text-align:center">Zone</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="15.45%"><p style="text-align:center">Floor Area (<sup>2</sup>)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="17.30%"><p style="text-align:center">Wall Area (<sup>2</sup>)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="20.04%"><p style="text-align:center">Window Area (<sup>2</sup>)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="22.17%"><p style="text-align:center">Maximum Occupancy</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="25.02%"><p style="text-align:center">Kitchen-1</p></td> 
      <td class="custom-top-td acenter" width="15.45%"><p style="text-align:center">1500 ft</p></td> 
      <td class="custom-top-td acenter" width="17.30%"><p style="text-align:center">1200 ft</p></td> 
      <td class="custom-top-td acenter" width="20.04%"><p style="text-align:center">None ft</p></td> 
      <td class="custom-top-td acenter" width="22.17%"><p style="text-align:center">7</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="25.02%"><p style="text-align:center">Gents Restrooms-2</p></td> 
      <td class="acenter" width="15.45%"><p style="text-align:center">180</p></td> 
      <td class="acenter" width="17.30%"><p style="text-align:center">400</p></td> 
      <td class="acenter" width="20.04%"><p style="text-align:center">None</p></td> 
      <td class="acenter" width="22.17%"><p style="text-align:center">10</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="25.02%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
      <td class="acenter" width="15.45%"><p style="text-align:center">180</p></td> 
      <td class="acenter" width="17.30%"><p style="text-align:center">400</p></td> 
      <td class="acenter" width="20.04%"><p style="text-align:center">None</p></td> 
      <td class="acenter" width="22.17%"><p style="text-align:center">10</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="25.02%"><p style="text-align:center">Dining-4</p></td> 
      <td class="acenter" width="15.45%"><p style="text-align:center">2500</p></td> 
      <td class="acenter" width="17.30%"><p style="text-align:center">1568</p></td> 
      <td class="acenter" width="20.04%"><p style="text-align:center">None</p></td> 
      <td class="acenter" width="22.17%"><p style="text-align:center">136</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="25.02%"><p style="text-align:center">Dining-5</p></td> 
      <td class="acenter" width="15.45%"><p style="text-align:center">1200</p></td> 
      <td class="acenter" width="17.30%"><p style="text-align:center">1088</p></td> 
      <td class="acenter" width="20.04%"><p style="text-align:center">None</p></td> 
      <td class="acenter" width="22.17%"><p style="text-align:center">72</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="25.02%"><p style="text-align:center">Dining-6</p></td> 
      <td class="acenter" width="15.45%"><p style="text-align:center">800</p></td> 
      <td class="acenter" width="17.30%"><p style="text-align:center">892</p></td> 
      <td class="acenter" width="20.04%"><p style="text-align:center">36</p></td> 
      <td class="acenter" width="22.17%"><p style="text-align:center">52</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="25.02%"><p style="text-align:center">Bar-7</p></td> 
      <td class="acenter" width="15.45%"><p style="text-align:center">1800</p></td> 
      <td class="acenter" width="17.30%"><p style="text-align:center">1348</p></td> 
      <td class="acenter" width="20.04%"><p style="text-align:center">60</p></td> 
      <td class="acenter" width="22.17%"><p style="text-align:center">100</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>Revit Software has been used to generate the Architectural drawing of the building as shown in the following photos <xref ref-type="bibr" rid="scirp.142210-7">
     [7]
    </xref> (<xref ref-type="fig" rid="fig1">
     Figure 1
    </xref> and <xref ref-type="fig" rid="fig2">
     Figure 2
    </xref>).</p>
   <fig id="fig1" position="float">
    <label>Figure 1</label>
    <caption>
     <title>Figure 1. The building Floor plan, indicting the various rooms is shown below.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1860603-rId14.jpeg?20250425110534" />
   </fig>
   <fig id="fig2" position="float">
    <label>Figure 2</label>
    <caption>
     <title>Figure 2. The front elevation (South) of the building is as follows.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="" />
   </fig>
   <fig id="fig2" position="float">
    <label>Figure 2</label>
    <caption>
     <title>Figure 2. The front elevation (South) of the building is as follows.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1860603-rId15.jpeg?20250425110534" />
   </fig>
   <fig id="fig2" position="float">
    <label>Figure 2</label>
    <caption>
     <title>Figure 2. The front elevation (South) of the building is as follows.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1860603-rId16.jpeg?20250425110534" />
   </fig>
  </sec><sec id="s4">
   <title>4. Design Day Weather Conditions</title>
   <p>Weather information that is used in design for locations in the USA and throughout much of the world is available in the ASHRAE Handbook, Chapter 14, “Climatic Design Information” (2009). <xref ref-type="table" rid="tableA1">
     Table A1
    </xref> (English units) (see Appendix) is abstracted from this database and gives some of the basic design weather information for four USA locations.</p>
   <p>For this project, the chosen design location is Madison, WI, with the following weather conditions:</p>
   <p>Summer: 90˚F db, 73.7˚F 𝑤𝑏.</p>
   <p>Winter: −10.3˚F.</p>
   <p>As shown in <xref ref-type="fig" rid="figA1">
     Figure A1
    </xref> (see Appendix), the recommended temperature ranges are between about 67˚F and 76˚F (20˚C and 25˚C) for winter and between 74˚F and 82˚F (24˚C and 28˚C) for summer. The humidity range is less precise, and ranges from about 20% to 80% RH. The upper humidity limit of 80% reflects that people are uncomfortable when their skin feels damp, although an upper limit of 60% may be a better comfort level. The lower limit, corresponding to a humidity ratio of 0.044 lbm/lbm, is a level that dries out skin and makes one feel uncomfortable. The middle of the winter comfort range is 72˚F and 50% RH, and in summer is 77˚F (25˚C) and 50% RH. The conditions at the middle of the comfort range are often used in design calculations.</p>
   <p>Therefore, the required interior design conditions are:</p>
   <p>Summer: 77˚F and 50% RH.</p>
   <p>Winter: 72˚F and 50% RH.</p>
  </sec><sec id="s5">
   <title>5. Building Heating and Cooling Loads</title>
   <sec id="s5_1">
    <title>5.1. Design Heating Loads</title>
    <p>Establishing the design heating load is essential for choosing equipment capable of sustaining the desired indoor temperature across all anticipated scenarios (<xref ref-type="table" rid="table2">
      Table 2
     </xref>). The calculation involves assessing envelope and ventilation/infiltration heat losses based on extreme weather records <xref ref-type="bibr" rid="scirp.142210-8">
      [8]
     </xref>. Typically, during this determination, assumptions are made, including the absence of solar gains through windows, negligible sol-air effects on walls and roofs, and no heat contributions from occupants, lights, or appliances <xref ref-type="bibr" rid="scirp.142210-9">
      [9]
     </xref>.</p>
    <p>Under these conservative assumptions, for each zone, or for the building as a whole, the heat loss, which is the heating load, can be expressed as (<xref ref-type="table" rid="table3">
      Table 3
     </xref>).</p>
    <p>
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     </math> (1)</p>
    <p>Formula 1 <xref ref-type="bibr" rid="scirp.142210-10">
      [10]
     </xref></p>
    <p>From <xref ref-type="table" rid="tableA2">
      Table A2
     </xref>, the thermal resistance for the various building components is:</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 2. R values for various components.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="47.03%"><p style="text-align:center">Element</p></td> 
       <td class="custom-bottom-td acenter" width="47.03%"><p style="text-align:center">R-Value</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="47.03%"><p style="text-align:center">Brick (4’’)</p></td> 
       <td class="custom-top-td acenter" width="47.03%"><p style="text-align:center">0.4</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="47.03%"><p style="text-align:center">Outside surface:</p></td> 
       <td class="acenter" width="47.03%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="47.03%"><p style="text-align:center">Summer</p></td> 
       <td class="acenter" width="47.03%"><p style="text-align:center">0.25</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="47.03%"><p style="text-align:center">Winter</p></td> 
       <td class="acenter" width="47.03%"><p style="text-align:center">0.17</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="47.03%"><p style="text-align:center">Double glazing windows</p></td> 
       <td class="acenter" width="47.03%"><p style="text-align:center">1.6</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The overall heat loss coefficient from each component is obtained as follows:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
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       </mi> 
       <mi>
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       </mi> 
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       </mi> 
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       </mo> 
       <mstyle displaystyle="true"> 
        <mo>
          ∑ 
        </mo> 
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      </mrow> 
     </math> (2)</p>
    <p>Formula 2 <xref ref-type="bibr" rid="scirp.142210-10">
      [10]
     </xref></p>
    <p>From which the following is obtained:</p>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 3. Heating loads for each zone.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="58.79%"><p style="text-align:center">Zone</p></td> 
       <td class="custom-bottom-td acenter" width="41.60%"><p style="text-align:center">UAo (BTU/hr-F)</p></td> 
       <td class="custom-bottom-td acenter" width="40.40%"><p style="text-align:center">Lh (BTU/hr)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="58.79%"><p style="text-align:center">Kitchen-1</p></td> 
       <td class="custom-top-td acenter" width="41.60%"><p style="text-align:center">480</p></td> 
       <td class="custom-top-td acenter" width="40.40%"><p style="text-align:center">39504</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Gents Restrooms-2</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">160</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">13168</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">160</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">13168</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Dining-4</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">627.2</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">51618.56</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Dining-5</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">435.2</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">35816.96</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Dining-6</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">414.4</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">34105.12</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Bar-7</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">635.2</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">52276.96</p></td> 
      </tr> 
     </table>
    </table-wrap>
   </sec>
   <sec id="s5_2">
    <title>5.2. Design Cooling Loads</title>
    <p>The windows and walls mainly deal with conductive loads. Heat from outside moves through these materials into space. If we’re only looking at conductive loads and not considering radiation or time, the only thing to think about is the heat transfer due to the temperature difference between outside and inside.</p>
    <p>The cooling loads can be determined as follows:</p>
    <p>
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       </mi> 
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         = 
       </mo> 
       <mi>
         U 
       </mi> 
       <mi>
         A 
       </mi> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mrow> 
         <mtext>
           TA 
         </mtext> 
         <mo>
           − 
         </mo> 
         <mtext>
           TZ 
         </mtext> 
        </mrow> 
        <mo>
          ) 
        </mo> 
       </mrow> 
      </mrow> 
     </math> (3)</p>
    <p>Formula 3 <xref ref-type="bibr" rid="scirp.142210-10">
      [10]
     </xref></p>
    <p>Using the building information and weather data, the following loads for each zone are obtained (<xref ref-type="table" rid="table4">
      Table 4
     </xref>).</p>
    <table-wrap id="table4">
     <label>
      <xref ref-type="table" rid="table4">
       Table 4
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 4. Wall/windows cooling loads.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="58.79%"><p style="text-align:center">Zone</p></td> 
       <td class="custom-bottom-td acenter" width="41.60%"><p style="text-align:center">UAo (BTU/hr-F)</p></td> 
       <td class="custom-bottom-td acenter" width="40.40%"><p style="text-align:center">Lh (BTU/hr)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="58.79%"><p style="text-align:center">Kitchen-1</p></td> 
       <td class="custom-top-td acenter" width="41.60%"><p style="text-align:center">480</p></td> 
       <td class="custom-top-td acenter" width="40.40%"><p style="text-align:center">6240</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Gents Restrooms-2</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">160</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">2080</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">160</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">2080</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Dining-4</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">627.2</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">8153.6</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Dining-5</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">435.2</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">5657.6</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Dining-6</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">414.4</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">5387.2</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="58.79%"><p style="text-align:center">Bar-7</p></td> 
       <td class="acenter" width="41.60%"><p style="text-align:center">635.2</p></td> 
       <td class="acenter" width="40.40%"><p style="text-align:center">8257.6</p></td> 
      </tr> 
     </table>
    </table-wrap>
   </sec>
  </sec><sec id="s6">
   <title>6. People</title>
   <p>The amount of heat a person gives off depends on how active they are. ASHRAE has a table in their Fundamentals guide that lists these heat values for both sensible (<xref ref-type="table" rid="table5">
     Table 5
    </xref>) and latent heat gains based on activity. You can calculate the total heat load from people by using these values, the number of people, and a cooling load factor, as shown in the equation below:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        Q 
      </mi> 
      <mi>
        c 
      </mi> 
      <mo>
        = 
      </mo> 
      <mi>
        N 
      </mi> 
      <mo>
        × 
      </mo> 
      <mtext>
        SHG 
      </mtext> 
      <mo>
        × 
      </mo> 
      <mtext>
        CLF 
      </mtext> 
     </mrow> 
    </math> (4)</p>
   <p>Formula 4 <xref ref-type="bibr" rid="scirp.142210-11">
     [11]
    </xref></p>
   <p>Where:</p>
   <p>N = Number of People.</p>
   <p>SHG = Sensible Heat Gain, Activity dependent.</p>
   <p>CLF = Cooling Load Factor.</p>
   <p>The cooling load factor takes into account the time lag factor and if it is not given it should be assumed to be 1.0. Using the data obtained from ASHRAE on Heat gain (<xref ref-type="table" rid="tableA4">
     Table A4
    </xref>), the following loads are obtained:</p>
   <table-wrap id="table5">
    <label>
     <xref ref-type="table" rid="table5">
      Table 5
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 5. Sensible heat gains per zone.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="44.92%"><p style="text-align:center">Zone</p></td> 
      <td class="custom-bottom-td acenter" width="50.95%"><p style="text-align:center">Maximum Occupancy</p></td> 
      <td class="custom-bottom-td acenter" width="44.92%"><p style="text-align:center">Heat Gain (BTU/h)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="44.92%"><p style="text-align:center">Kitchen-1</p></td> 
      <td class="custom-top-td acenter" width="50.95%"><p style="text-align:center">7</p></td> 
      <td class="custom-top-td acenter" width="44.92%"><p style="text-align:center">1790</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="44.92%"><p style="text-align:center">Gents Restrooms-2</p></td> 
      <td class="acenter" width="50.95%"><p style="text-align:center">10</p></td> 
      <td class="acenter" width="44.92%"><p style="text-align:center">2559.1</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="44.92%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
      <td class="acenter" width="50.95%"><p style="text-align:center">10</p></td> 
      <td class="acenter" width="44.92%"><p style="text-align:center">2559.1</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="44.92%"><p style="text-align:center">Dining-4</p></td> 
      <td class="acenter" width="50.95%"><p style="text-align:center">136</p></td> 
      <td class="acenter" width="44.92%"><p style="text-align:center">34803.8</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="44.92%"><p style="text-align:center">Dining-5</p></td> 
      <td class="acenter" width="50.95%"><p style="text-align:center">72</p></td> 
      <td class="acenter" width="44.92%"><p style="text-align:center">18425.6</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="44.92%"><p style="text-align:center">Dining-6</p></td> 
      <td class="acenter" width="50.95%"><p style="text-align:center">52</p></td> 
      <td class="acenter" width="44.92%"><p style="text-align:center">13307.4</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="44.92%"><p style="text-align:center">Bar-7</p></td> 
      <td class="acenter" width="50.95%"><p style="text-align:center">100</p></td> 
      <td class="acenter" width="44.92%"><p style="text-align:center">30709.3</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>The total cooling loads for each zone are sum of the latent and Sensible heat loads calculated above (<xref ref-type="table" rid="table6">
     Table 6
    </xref>).</p>
   <table-wrap id="table6">
    <label>
     <xref ref-type="table" rid="table6">
      Table 6
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 6. Design cooling loads.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="36.18%"><p style="text-align:center">Zone</p></td> 
      <td class="custom-bottom-td acenter" width="31.05%"><p style="text-align:center">Latent Heat Gain</p><p style="text-align:center">(BTU/hr)</p></td> 
      <td class="custom-bottom-td acenter" width="35.88%"><p style="text-align:center">Sensible Heat Gain</p><p style="text-align:center">(BTU/h)</p></td> 
      <td class="custom-bottom-td acenter" width="36.18%"><p style="text-align:center">Total Cooling Load</p><p style="text-align:center">(BTU/hr)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="36.18%"><p style="text-align:center">Kitchen-1</p></td> 
      <td class="custom-top-td acenter" width="31.05%"><p style="text-align:center">6240</p></td> 
      <td class="custom-top-td acenter" width="35.88%"><p style="text-align:center">1790</p></td> 
      <td class="custom-top-td acenter" width="36.18%"><p style="text-align:center">8030</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="36.18%"><p style="text-align:center">Gents Restrooms-2</p></td> 
      <td class="acenter" width="31.05%"><p style="text-align:center">2080</p></td> 
      <td class="acenter" width="35.88%"><p style="text-align:center">2559.1</p></td> 
      <td class="acenter" width="36.18%"><p style="text-align:center">4639.1</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="36.18%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
      <td class="acenter" width="31.05%"><p style="text-align:center">2080</p></td> 
      <td class="acenter" width="35.88%"><p style="text-align:center">2559.1</p></td> 
      <td class="acenter" width="36.18%"><p style="text-align:center">4639.1</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="36.18%"><p style="text-align:center">Dining-4</p></td> 
      <td class="acenter" width="31.05%"><p style="text-align:center">8153.6</p></td> 
      <td class="acenter" width="35.88%"><p style="text-align:center">34803.8</p></td> 
      <td class="acenter" width="36.18%"><p style="text-align:center">42957.4</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="36.18%"><p style="text-align:center">Dining-5</p></td> 
      <td class="acenter" width="31.05%"><p style="text-align:center">5657.6</p></td> 
      <td class="acenter" width="35.88%"><p style="text-align:center">18425.6</p></td> 
      <td class="acenter" width="36.18%"><p style="text-align:center">24083.2</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="36.18%"><p style="text-align:center">Dining-6</p></td> 
      <td class="acenter" width="31.05%"><p style="text-align:center">5387.2</p></td> 
      <td class="acenter" width="35.88%"><p style="text-align:center">13307.4</p></td> 
      <td class="acenter" width="36.18%"><p style="text-align:center">18697.6</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="36.18%"><p style="text-align:center">Bar-7</p></td> 
      <td class="acenter" width="31.05%"><p style="text-align:center">8257.6</p></td> 
      <td class="acenter" width="35.88%"><p style="text-align:center">30709.3</p></td> 
      <td class="acenter" width="36.18%"><p style="text-align:center">38966.9</p></td> 
     </tr> 
    </table>
   </table-wrap>
  </sec><sec id="s7">
   <title>7. Ventilation Flowrates</title>
   <p>Based on the minimum recommended outdoor air flow rates in <xref ref-type="table" rid="tableA3">
     Table A3
    </xref>, the design outdoor airflow to provide necessary ventilation for each zone (<xref ref-type="table" rid="table7">
     Table 7
    </xref>).</p>
   <table-wrap id="table7">
    <label>
     <xref ref-type="table" rid="table7">
      Table 7
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 7. Required airflow rates.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="38.59%"><p style="text-align:center">Zone</p></td> 
      <td class="custom-bottom-td acenter" width="34.07%"><p style="text-align:center">MaximumOccupancy</p></td> 
      <td class="custom-bottom-td acenter" width="34.07%"><p style="text-align:center">Airflow rate per person (cfm)</p></td> 
      <td class="custom-bottom-td acenter" width="34.37%"><p style="text-align:center">Total airflow rate (cfm)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="38.59%"><p style="text-align:center">Kitchen-1</p></td> 
      <td class="custom-top-td acenter" width="34.07%"><p style="text-align:center">7</p></td> 
      <td class="custom-top-td acenter" width="34.07%"><p style="text-align:center">15</p></td> 
      <td class="custom-top-td acenter" width="34.37%"><p style="text-align:center">105</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="38.59%"><p style="text-align:center">Gents Restrooms-2</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">10</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
      <td class="acenter" width="34.37%"><p style="text-align:center">200</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="38.59%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">10</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
      <td class="acenter" width="34.37%"><p style="text-align:center">200</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="38.59%"><p style="text-align:center">Dining-4</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">136</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
      <td class="acenter" width="34.37%"><p style="text-align:center">2720</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="38.59%"><p style="text-align:center">Dining-5</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">72</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
      <td class="acenter" width="34.37%"><p style="text-align:center">1440</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="38.59%"><p style="text-align:center">Dining-6</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">52</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
      <td class="acenter" width="34.37%"><p style="text-align:center">1040</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="38.59%"><p style="text-align:center">Bar-7</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">100</p></td> 
      <td class="acenter" width="34.07%"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="34.37%"><p style="text-align:center">3000</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <sec id="s7_1">
    <title>7.1. Diffusers and Air Handling Unit Location</title>
    <p>In ventilation, each element has a specific role, and their placement can significantly impact the performance of the entire system.</p>
    <p>Diffusers are responsible for distributing conditioned air throughout a zone. The goal is to achieve uniform airflow, preventing drafts and maintaining a comfortable environment. The placement of diffusers should consider factors such as room size, layout, and occupancy. In larger spaces, several diffusers may be strategically located to ensure even coverage, while in smaller rooms, a well-placed diffuser can work wonders. AHU conditions and circulates the air. Ideally, AHUs should be located to optimize efficiency and minimize energy consumption. Placing AHUs centrally can often reduce ductwork lengths, minimizing pressure drops and energy losses. Additionally, considering access for maintenance and minimizing noise impact on occupied spaces are crucial factors in AHU placement <xref ref-type="bibr" rid="scirp.142210-12">
      [12]
     </xref>.</p>
    <p>The number of supply diffusers in each room are based on the required airflow and have been are distributed as shown below <xref ref-type="bibr" rid="scirp.142210-13">
      [13]
     </xref> (<xref ref-type="fig" rid="fig3">
      Figure 3
     </xref>).</p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>Figure 3. Number of supply diffusers.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1860603-rId25.jpeg?20250425110537" />
    </fig>
   </sec>
   <sec id="s7_2">
    <title>7.2. Duct Layout</title>
    <p>The systematic arrangement and design of ductwork within the building is shown in figure above (<xref ref-type="fig" rid="fig4">
      Figure 4
     </xref>). The goal is to efficiently and effectively distribute conditioned air throughout the building while maintaining comfort, energy efficiency, and adherence to safety standards <xref ref-type="bibr" rid="scirp.142210-9">
      [9]
     </xref>.</p>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 4. Ductwork design.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1860603-rId26.jpeg?20250425110538" />
    </fig>
   </sec>
   <sec id="s7_3">
    <title>7.3. Duct Sizing</title>
    <p>The design procedure for the equal friction method will be followed based on the following considerations and assumptions <xref ref-type="bibr" rid="scirp.142210-14">
      [14]
     </xref>:</p>
    <p>1) Determine Airflow Requirements:</p>
    <p>Calculate the total airflow (CFM) needed for the HVAC system based on heating or cooling load calculations for each zone (<xref ref-type="table" rid="table8">
      Table 8
     </xref>). This step was done in phase II of the project and the following was obtained:</p>
    <table-wrap id="table8">
     <label>
      <xref ref-type="table" rid="table8">
       Table 8
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 8. Total Airflow rates (CFM) in each zone.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="38.59%"><p style="text-align:center">Zone</p></td> 
       <td class="custom-bottom-td acenter" width="34.07%"><p style="text-align:center">MaximumOccupancy</p></td> 
       <td class="custom-bottom-td acenter" width="34.07%"><p style="text-align:center">Airflow rate per person (cfm)</p></td> 
       <td class="custom-bottom-td acenter" width="34.37%"><p style="text-align:center">Total airflow rate (cfm)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="38.59%"><p style="text-align:center">Kitchen-1</p></td> 
       <td class="custom-top-td acenter" width="34.07%"><p style="text-align:center">7</p></td> 
       <td class="custom-top-td acenter" width="34.07%"><p style="text-align:center">15</p></td> 
       <td class="custom-top-td acenter" width="34.37%"><p style="text-align:center">105</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.59%"><p style="text-align:center">Gents Restrooms-2</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">10</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
       <td class="acenter" width="34.37%"><p style="text-align:center">200</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.59%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">10</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
       <td class="acenter" width="34.37%"><p style="text-align:center">200</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.59%"><p style="text-align:center">Dining-4</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">136</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
       <td class="acenter" width="34.37%"><p style="text-align:center">2720</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.59%"><p style="text-align:center">Dining-5</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">72</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
       <td class="acenter" width="34.37%"><p style="text-align:center">1440</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.59%"><p style="text-align:center">Dining-6</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">52</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">20</p></td> 
       <td class="acenter" width="34.37%"><p style="text-align:center">1040</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.59%"><p style="text-align:center">Bar-7</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">100</p></td> 
       <td class="acenter" width="34.07%"><p style="text-align:center">30</p></td> 
       <td class="acenter" width="34.37%"><p style="text-align:center">3000</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>2) Select a Friction Rate:</p>
    <p>Choose a friction rate per 100 feet of duct. The friction rate is typically expressed in inches of water column per 100 feet of duct (e.g., 0.08 inches/100 ft.). This rate helps maintain a consistent pressure drop throughout the duct system <xref ref-type="bibr" rid="scirp.142210-15">
      [15]
     </xref>.</p>
    <p>For each duct section, the diameter is determined by using the specified friction</p>
    <p>loss per unit length 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msub> 
        <mrow> 
         <mrow> 
          <mo>
            ( 
          </mo> 
          <mrow> 
           <mi>
             Δ 
           </mi> 
           <mi>
             L 
           </mi> 
           <mi>
             p 
           </mi> 
          </mrow> 
          <mo>
            ) 
          </mo> 
         </mrow> 
        </mrow> 
        <mi>
          f 
        </mi> 
       </msub> 
      </mrow> 
     </math>, in this case, taken to be 0.001 in H<sub>2</sub>O/ft and the required flow rates.</p>
    <p>3) Determine Friction Loss:</p>
    <p>Calculate the friction loss for the selected duct size using the chosen friction rate and the duct length using the following formula:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         Δ 
       </mi> 
       <mi>
         p 
       </mi> 
       <mi>
         f 
       </mi> 
       <mi>
         r 
       </mi> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mrow> 
         <mrow> 
          <mo>
            ( 
          </mo> 
          <mrow> 
           <mi>
             Δ 
           </mi> 
           <mi>
             L 
           </mi> 
           <mi>
             p 
           </mi> 
          </mrow> 
          <mo>
            ) 
          </mo> 
         </mrow> 
        </mrow> 
        <mi>
          f 
        </mi> 
       </msub> 
       <mo>
         × 
       </mo> 
       <mi>
         L 
       </mi> 
      </mrow> 
     </math></p>
    <p>A simplified schematic of the duct layout is as follows (<xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>).</p>
    <p>The loss coefficient for different fittings is given below (<xref ref-type="table" rid="table9">
      Table 9
     </xref>).</p>
    <table-wrap id="table9">
     <label>
      <xref ref-type="table" rid="table9">
       Table 9
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 9. Loss coefficient for various fittings.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="50.00%"><p style="text-align:center">Fitting</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="50.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="50.00%"><p style="text-align:center">Entrance</p></td> 
       <td class="custom-top-td acenter" width="50.00%"><p style="text-align:center">0.05 K<sup>L</sup></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.00%"><p style="text-align:center">Bend</p></td> 
       <td class="acenter" width="50.00%"><p style="text-align:center">0.1</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.00%"><p style="text-align:center">Wye, straight</p></td> 
       <td class="acenter" width="50.00%"><p style="text-align:center">0.13</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.00%"><p style="text-align:center">Wye, turn</p></td> 
       <td class="acenter" width="50.00%"><p style="text-align:center">0.4</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.00%"><p style="text-align:center">Diffuser</p></td> 
       <td class="acenter" width="50.00%"><p style="text-align:center">0.1</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 5. Duct layout.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1860603-rId31.jpeg?20250425110538" />
    </fig>
    <p>The resulting duct diameters, velocity and total frictional pressure drop are given in the tables below <xref ref-type="bibr" rid="scirp.142210-16">
      [16]
     </xref> (<xref ref-type="table" rid="table10">
      Table 10
     </xref>).</p>
    <table-wrap id="table10">
     <label>
      <xref ref-type="table" rid="table10">
       Table 10
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 10. Approximate duct diameters for first duct line.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="10.16%"><p style="text-align:center">Section</p></td> 
       <td class="custom-bottom-td acenter" width="21.28%"><p style="text-align:center">Specified friction loss(in H<sub>2</sub>O/ft)</p></td> 
       <td class="custom-bottom-td acenter" width="25.46%"><p style="text-align:center">Approximate Diameter (in)</p></td> 
       <td class="custom-bottom-td acenter" width="15.37%"><p style="text-align:center">Velocity (fpm)</p></td> 
       <td class="custom-bottom-td acenter" width="18.30%"><p style="text-align:center">Friction Pressure Drop (in H<sub>2</sub>O)</p></td> 
       <td class="custom-bottom-td acenter" width="9.43%"><p style="text-align:center">K<sup>L</sup></p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="10.16%"><p style="text-align:center">AHU-A</p></td> 
       <td class="custom-top-td acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="custom-top-td acenter" width="25.46%"><p style="text-align:center">31.5</p></td> 
       <td class="custom-top-td acenter" width="15.37%"><p style="text-align:center">1750</p></td> 
       <td class="custom-top-td acenter" width="18.30%"><p style="text-align:center">0.009</p></td> 
       <td class="custom-top-td acenter" width="9.43%"><p style="text-align:center">0.1</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">A-2</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">7.5</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">680</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.008</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.2</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">A-B</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">31</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1700</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.006</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">B-1</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">5.8</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">550</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.039</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.1</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">B-C</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">30</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1650</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.004</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">C-4</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">20</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1280</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.037</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.5</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">C-D</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">26</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1450</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.003</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">D-3</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">7.5</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">680</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.008</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.2</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">D-E</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">25.5</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1250</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.015</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">E-5</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">14</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1020</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.059</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.3</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">E-F</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">23</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1400</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.032</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">F-7</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">20.5</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1300</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.047</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="10.16%"><p style="text-align:center">F-6</p></td> 
       <td class="acenter" width="21.28%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="25.46%"><p style="text-align:center">15</p></td> 
       <td class="acenter" width="15.37%"><p style="text-align:center">1010</p></td> 
       <td class="acenter" width="18.30%"><p style="text-align:center">0.040</p></td> 
       <td class="acenter" width="9.43%"><p style="text-align:center">0.3</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>4) Fittings pressure loss:</p>
    <p>The pressure drops in each section associated with the fittings is given by:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         p 
       </mi> 
       <mo>
         = 
       </mo> 
       <mstyle displaystyle="true"> 
        <mo>
          ∑ 
        </mo> 
        <mrow> 
         <mi>
           K 
         </mi> 
         <msub> 
          <mi>
            ρ 
          </mi> 
          <mn>
            2 
          </mn> 
         </msub> 
         <msup> 
          <mi>
            V 
          </mi> 
          <mn>
            2 
          </mn> 
         </msup> 
        </mrow> 
       </mstyle> 
       <mi>
         Δ 
       </mi> 
       <mo>
         ⋅ 
       </mo> 
       <mi>
         K 
       </mi> 
       <mi>
         L 
       </mi> 
      </mrow> 
     </math></p>
    <p>After obtaining the fitting pressure drop using the formula above, both frictional and fitting pressure drops are tabulated below for both lines (<xref ref-type="table" rid="table11">
      Table 11
     </xref>).</p>
    <table-wrap id="table11">
     <label>
      <xref ref-type="table" rid="table11">
       Table 11
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 11. Total Pressure drop.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="27.74%"><p style="text-align:center">Section</p></td> 
       <td class="custom-bottom-td acenter" width="37.68%"><p style="text-align:center">Friction PressureDrop (Pa)</p></td> 
       <td class="custom-bottom-td acenter" width="37.68%"><p style="text-align:center">Fitting Pressure Drop (Pa)</p></td> 
       <td class="custom-bottom-td acenter" width="37.99%"><p style="text-align:center">Friction PressureDrop (Pa)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="27.74%"><p style="text-align:center">AHU-A</p></td> 
       <td class="custom-top-td acenter" width="37.68%"><p style="text-align:center">2.24</p></td> 
       <td class="custom-top-td acenter" width="37.68%"><p style="text-align:center">4.74</p></td> 
       <td class="custom-top-td acenter" width="37.99%"><p style="text-align:center">6.98</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">A-2</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">1.99</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">1.43</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">3.42</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">A-B</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">1.49</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">1.49</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">B-1</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">9.71</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0.46</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">10.17</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">B-C</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">1</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">C-4</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">9.22</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">12.68</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">21.9</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">C-D</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0.75</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">0.75</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">D-3</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">1.99</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">1.43</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">3.42</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">D-E</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">3.74</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">3.74</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">E-5</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">14.70</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">4.83</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">19.53</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">E-F</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">7.97</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">7.97</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">F-7</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">11.71</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">18.31</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">13.02</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="27.74%"><p style="text-align:center">F-6</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">9.96</p></td> 
       <td class="acenter" width="37.68%"><p style="text-align:center">4.73</p></td> 
       <td class="acenter" width="37.99%"><p style="text-align:center">14.69</p></td> 
      </tr> 
     </table>
    </table-wrap>
   </sec>
  </sec><sec id="s8">
   <title>8. Zone Pressures</title>
   <p>Zone pressures play a crucial role in maintaining a balanced and efficient HVAC system. During the design, consider the desired pressure differentials between zones based on the intended use of each space <xref ref-type="bibr" rid="scirp.142210-17">
     [17]
    </xref>. Proper design ensures that the HVAC system effectively meets the specific needs of the building <xref ref-type="bibr" rid="scirp.142210-18">
     [18]
    </xref>.</p>
   <p>To determine the pressure in each zone, establish the total pressure of the supply fan based on the longest duct run:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         L 
       </mi> 
       <mrow> 
        <mtext>
          longest 
        </mtext> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <mn>
        9 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        6 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        4 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        3 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        15 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        32 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        49 
      </mn> 
      <mo>
        = 
      </mo> 
      <mn>
        118 
      </mn> 
      <mi>
        f 
      </mi> 
      <mi>
        t 
      </mi> 
     </mrow> 
    </math></p>
   <p>The pressure at the exit of the AHU is then determined by adding the pressure drops along this run:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mtext>
        PAHU 
      </mtext> 
      <mo>
        = 
      </mo> 
      <mn>
        14.69 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        7.97 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        3.74 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        0.75 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        1 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        1.49 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        6.98 
      </mn> 
      <mo>
        = 
      </mo> 
      <mn>
        36.62 
      </mn> 
      <mi>
        P 
      </mi> 
      <mi>
        a 
      </mi> 
     </mrow> 
    </math></p>
   <p>The pressures in each zone can be based on this pressure and obtained (<xref ref-type="table" rid="table12">
     Table 12
    </xref>).</p>
   <table-wrap id="table12">
    <label>
     <xref ref-type="table" rid="table12">
      Table 12
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142210-"></xref>Table 12. Pressure in each zone.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="74.77%"><p style="text-align:center">Zone</p></td> 
      <td class="custom-bottom-td acenter" width="66.02%"><p style="text-align:center">Maximum Occupancy</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="74.77%"><p style="text-align:center">Kitchen-1</p></td> 
      <td class="custom-top-td acenter" width="66.02%"><p style="text-align:center">17.98</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="74.77%"><p style="text-align:center">Gents Restrooms-2</p></td> 
      <td class="acenter" width="66.02%"><p style="text-align:center">26.22</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="74.77%"><p style="text-align:center">Ladies Restrooms-3</p></td> 
      <td class="acenter" width="66.02%"><p style="text-align:center">22.98</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="74.77%"><p style="text-align:center">Dining-4</p></td> 
      <td class="acenter" width="66.02%"><p style="text-align:center">5.25</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="74.77%"><p style="text-align:center">Dining-5</p></td> 
      <td class="acenter" width="66.02%"><p style="text-align:center">3.13</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="74.77%"><p style="text-align:center">Dining-6</p></td> 
      <td class="acenter" width="66.02%"><p style="text-align:center">0</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="74.77%"><p style="text-align:center">Bar-7</p></td> 
      <td class="acenter" width="66.02%"><p style="text-align:center">1.67</p></td> 
     </tr> 
    </table>
   </table-wrap>
  </sec><sec id="s9">
   <title>9. Conclusion</title>
   <p>The process of designing a restaurant’s heating and cooling system requires striking a careful balance between selecting components that are both economical and efficient and satisfying capacity demands for a range of situations. Keeping both initial prices and ongoing expenses in mind, the objective is to guarantee a cozy and healthful interior atmosphere <xref ref-type="bibr" rid="scirp.142210-19">
     [19]
    </xref>. A key factor in achieving balanced pressure drops and optimal energy efficiency in HVAC duct design is the equal friction approach, which is well-known for its effectiveness. It emphasizes the need for constant friction rates throughout the ductwork. In order to obtain the required friction rate, which promotes equal airflow distribution and system balance, engineers use a methodical procedure that takes into account aspects including total airflow needs, zoning, and iterative modifications to duct diameters. In order to maintain maximum performance, it is imperative to consider space limits, equipment compatibility, and constant system monitoring. This technique complies with industry requirements, guaranteeing reliability in the field. All things considered, the equal friction approach is a useful tool for creating HVAC duct systems for restaurants that are both balanced and effective.</p>
  </sec><sec id="s10">
   <title>Objective</title>
   <p>● Find design day weather conditions.</p>
  </sec>
 </body><back>
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