<?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">JMP</journal-id><journal-title-group><journal-title>Journal of Modern Physics</journal-title></journal-title-group><issn pub-type="epub">2153-1196</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jmp.2014.512110</article-id><article-id pub-id-type="publisher-id">JMP-48046</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>PHYSICS &amp; MATHEMATICS</subject></subj-group></article-categories><title-group><article-title>Rheological Study of Polymers Used as Viscosity Index Improvers for Automotive Lubricant Oils</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ana</surname><given-names>Paula Pena Almeida</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ana</surname><given-names>Paula Lelis Rodrigues de Oliveira</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cynthia</surname><given-names>D’Ávila Carvalho Erbetta</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ricardo</surname><given-names>Geraldo de Sousa</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Roberto</surname><given-names>Fernando de Souza Freitas</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Maria</surname><given-names>Elisa Scarpelli Ribeiro e Silva</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Polymer Science and Technology Laboratory, Chemical Engineering Department, Engineering School, Federal University of Minas Gerais, Belo Horizonte, Brazil</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>elisa@deq.ufmg.br(MESRES)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>11</day><month>07</month><year>2014</year></pub-date><volume>05</volume><issue>12</issue><fpage>1085</fpage><lpage>1093</lpage><history><date date-type="received"><day>23</day>	<month>May</month>	<year>2014</year></date><date date-type="rev-recd"><day>21</day>	<month>June</month>	<year>2014</year>	</date><date date-type="accepted"><day>12</day>	<month>July</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; 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><p>
	In this
work, a rheological study of automotive lubricant oils, neutral light
paraffinic (NLP) and neutral medium paraffinic (NMP), additivated with two
commercial viscosity index improvers-VIIs, based on hydrogenated poly
(isoprene-co-styrene), at different concentrations, was carried out. The study
included the determination of the kinematic viscosity of the mixtures, the
calculation of the viscosity indexes and their behavior when subjected to
various rheometric experiments, including stress sweep, steady state flow,
creep and recovery, and temperature ramp oscillatory tests. The obtained
results showed the efficacy of the additives as viscosity index improvers, enabling
a significant increase in the viscosity index of the pure oils at relatively
low concentrations. The determination of the storage (G’) and of the loss (G”)
moduli for the mixtures oil/VII additives showed a large predominance of the
viscous effect over the elastic one. Except when under low shear stress, the
mixtures showed a pseudoplastic behavior, with the flow curves being adjusted
to fit the Ostwald-de-Waele model (Power Law), with negative flow behavior
indexes.
</p></abstract><kwd-group><kwd>Viscosity Index Improvers</kwd><kwd> Automotive Lubricants</kwd><kwd> Rheology</kwd><kwd> Viscosity Index</kwd><kwd> Polymer Additives</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The demand for technological innovations in the lubricant oil sector has steadily increased with the evolution of automotive engines. Currently, many lubricant properties have been reinforced or created by means of chemical polymeric additives, in the constant search for improved performance, efficiency, durability, and reduction of emissions and operational costs of automotive engines.</p><p>Brazil has had a distinguished role in this area for having cutting-edge technology in oil exploration and refining as well as for being a promising market for the sale of lubricant oils. In 2009, the country consumed 3.2% of the total volume of the product sold worldwide and, according to recent research, the national demand is expected to increase significantly until 2019 [<xref ref-type="bibr" rid="scirp.48046-ref1">1</xref>] . Considering this scenario, the country has the opportunity to develop its knowledge about the technology of polymeric chemical additives for automotive lubricant oils.</p><p>Viscosity index (VI) represents the effect of temperature on the kinematic viscosity of lubricant oils, and was initially proposed by Dean and Davis in 1929 [<xref ref-type="bibr" rid="scirp.48046-ref2">2</xref>] . It measures the stability of the kinematic viscosity with temperature. The higher the VI, the more stable the kinematic viscosity with temperature. For petroleum lubricant oils, a VI slightly above 100 is almost the maximum limit attainable by economical refining processes [<xref ref-type="bibr" rid="scirp.48046-ref3">3</xref>] . Any additional increase in the VI can only be achieved with the addition of polymers known as Viscosity Index Improvers (VIIs).</p><p>Viscosity index improvers (VIIs) are among the most important additives for lubricant oil formulation [<xref ref-type="bibr" rid="scirp.48046-ref4">4</xref>] . Polymers usually used as VIIs are olefins copolymers (OCPs), poly (alkyl methacrylates) (PAMAs), hydrogenated copolymers of (styrene-co-butadiene) (HSD) and their modifications, hydrogenated copolymers of (styrene- co-isoprene) (HSI) and their modifications, along with the star-shaped polymers with a radial hydrogenated poly (isoprene) base (HRI) [<xref ref-type="bibr" rid="scirp.48046-ref5">5</xref>] -[<xref ref-type="bibr" rid="scirp.48046-ref7">7</xref>] .</p><p>This study was motivated by the need for a greater understanding of the characteristics of the polymers used as viscosity index improvers in paraffinic oil. This paper reports the rheological study of automotive lubricant oils, neutral light paraffinic (NLP) and neutral medium paraffinic (NMP), additivated with two commercial VIIs, at different concentrations. The study included the determination of the kinematic viscosity of the mixtures, the calculation of the viscosity indexes and their behavior when subjected to various rheometric tests.</p></sec><sec id="s2"><title>2. Experimental</title><p>The experiments carried out in this work involved the preparation of the mixtures (oil plus VII), determination of the kinematic viscosities, calculation of the viscosity indexes, and rheometric tests.</p><sec id="s2_1"><title>2.1. Materials</title><p>Samples of neutral light and neutral medium paraffinic oils and samples of oils with two VII additives based on hydrogenated poly (isoprene-co-styrene) were used for this study. The commercial VIIs used were codified as A2 and A5.</p></sec><sec id="s2_2"><title>2.2. Preparation of Samples</title><p>The procedure used for the preparation of the samples was dissolution of the VIIs in neutral light and in neutral medium paraffinic oils, with manual stirring without heating, utilizing a glass rod for the initial homogenization of the mixture. Subsequently, mechanical stirring was used (IKA-MOD. RW 20n shaker) at 960 rpm for 20 minutes, increasing, thereafter, to 2400 rpm for 60 minutes, without heating. The mixtures were prepared at three mass concentrations of each VII additive—1%, 2% and 4%. The kinematic viscosities of the mixtures with 1% and 2% concentration of additive were determined, and their viscosities indexes were, then, calculated. For the rheometric tests, the mixtures with 2% and 4% concentration of additive were used.</p></sec><sec id="s2_3"><title>2.3. Determination of Kinematic Viscosity and Viscosity Index</title><p>The kinematic viscosities of the paraffinic oils and of the mixtures oils/VII additives were determined, according to ASTM D-445 and ASTM D-446, at 40˚C and at 100˚C, using a Herzog viscometer. From the obtained kinematic viscosities, the viscosity indexes were calculated, according to ASTM D-2270.</p></sec><sec id="s2_4"><title>2.4. Rheometric Tests</title><p>The behavior of the paraffinic oils and of the mixtures oils/VII additives when subjected to rheometric tests was studied using a rheometer model AR-G2 Rheometer (TA Instruments), concentrical cylinders geometry. Stress sweep test, in the range of 0.001 to 1063 Pa at 25˚C and at a 1 Hz frequency, was used for the determination of the linear viscoelasticity region. From steady state flow tests, at 25˚C, stress-strain curves were obtained and the viscosity was determined. In this experiment, the strain rate varied between 5.316 &#215; 10<sup>−</sup><sup>3</sup> and 600 Pa.</p><p>For the evaluation of the viscoelastic behavior of the samples, creep and recovery tests were carried out in two steps: 1) the material was subjected to a constant shear stresses (t) of 1 and of 10 Pa, for a period of 15 minutes (t<sub>1</sub>); 2) the tension was, then, instantly removed and, for a period of 10 minutes (t<sub>2</sub>), the recovery of the sample was observed. The values for the shear stress (within the Newtonian plateau) were selected from the steady state flow experiments. Throughout the test, the strain (g), as a function of time, was measured.</p><p>Temperature ramp oscillatory tests were conducted, in order to evaluate the viscoelastic behavior of the samples, with continuously increasing temperature. The temperature range of the experiments varied from 25˚C to 150˚C, at a heating rate of 5˚C∙min<sup>−</sup><sup>1</sup>, maintaining the tension and the frequency constants at 1 Pa and 1 Hz, respectively. The storage or elastic (G’) and the loss or viscous (G”) moduli, as well as the complex viscosity (η*), were determined, as a function of temperature.</p></sec></sec><sec id="s3"><title>3. Results and Discussion</title><p>The kinematic viscosities and the viscosity indexes of the pure oils and of the mixtures with the two addditives (A2 and A5), at 1% and 2% mass concentration, were determined and the results are presented and discussed in this section. Also, the results obtained from the rheometric tests, for the mixtures with 2% and 4% mass concentration of additives, are shown and analyzed considering the effect of the polymer addition to the oils, taking into account their structure, their concentration and other important parameters which will determine their rheological behavior.</p><sec id="s3_1"><title>3.1. Determination of Kinematic Viscosity and Viscosity Index</title><p>As seen, from the results presented in <xref ref-type="table" rid="table1">Table 1</xref>, the kinematic viscosities of MNP oils, at both temperatures, are superior to those of LNP oils, which is in accordance with the specifications for these products [<xref ref-type="bibr" rid="scirp.48046-ref8">8</xref>] . At both temperatures, the kinematic viscosities of the mixtures (oil + VII) are higher than those of pure oils, and they increase with VII concentration, this dependence being more dramatic as the VII concentration increases. Also, it can be noted that, the higher the temperature, the lower the kinematic viscosity.</p><p>It is known that the viscosity of a polymeric solution depends on the size of polymer chains, on the extent of their intra and intermolecular interactions, on the extension of polymer and solvent molecules interactions, on polymer concentration and on the nature of the solvent [<xref ref-type="bibr" rid="scirp.48046-ref3">3</xref>] . From the results obtained in the present work, it can be observed that both oils (LNP and MNP) are good solvents for both VII additives (A2 and A5), due to the facility of VIIs dissolution in the oils and to the stability of the mixtures, observed over time. In a good solvent, the polymeric chains are in an uncoiled state. An increase in temperature will cause a weakening in the polymer- solvent bonds, enabling an increase of the intra and intermolecular interactions (polymer-polymer interactions), resulting in the coiling of the polymeric molecules, resulting in a smaller hydrodynamic volume, with the con-</p><table-wrap id="table1"  position="float"><object-id pub-id-type="pii">Table 1</object-id><label>Table 1</label><caption><p>. Kinematic viscosities, at, 40˚C and at 100˚C of pure LNP and MNP oils and of their mixtures with VIIs A2 and A5, at 1% and 2% mass concentration</p></caption><table><thead><tr><th align="center" valign="middle"  rowspan="2"  >Temperature, ˚C</th><th align="center" valign="middle"  colspan="5"  >Pure oil and mixtures oil + VII</th></tr></thead><tbody><tr><td align="center" valign="middle" >[VII], %</td><td align="center" valign="middle" >LNP + A2, mm<sup>2</sup>∙s<sup>−1</sup></td><td align="center" valign="middle" >LNP + A5, mm<sup>2</sup>∙s<sup>−1</sup></td><td align="center" valign="middle" >MNP + A2, mm<sup>2</sup>∙s<sup>−1</sup></td><td align="center" valign="middle" >MNP + A5, mm<sup>2</sup>∙s<sup>−1</sup></td></tr><tr><td align="center" valign="middle"  rowspan="3"  >40</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >30.27</td><td align="center" valign="middle" >30.27</td><td align="center" valign="middle" >52.58</td><td align="center" valign="middle" >52.58</td></tr><tr><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >79.75</td><td align="center" valign="middle" >91.66</td><td align="center" valign="middle" >125.80</td><td align="center" valign="middle" >132.10</td></tr><tr><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >203.90</td><td align="center" valign="middle" >257.20</td><td align="center" valign="middle" >341.60</td><td align="center" valign="middle" >434.90</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >100</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >5.21</td><td align="center" valign="middle" >5.21</td><td align="center" valign="middle" >7.30</td><td align="center" valign="middle" >7.30</td></tr><tr><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >12.45</td><td align="center" valign="middle" >14.20</td><td align="center" valign="middle" >15.92</td><td align="center" valign="middle" >16.73</td></tr><tr><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >28.65</td><td align="center" valign="middle" >35.47</td><td align="center" valign="middle" >38.85</td><td align="center" valign="middle" >48.51</td></tr></tbody></table></table-wrap><p>sequent reduction in viscosity.</p><p>It is worthy noting, also from the results presented in <xref ref-type="table" rid="table1">Table 1</xref>, that the thickening effect of A5 VII was greater than that of A2 VII. It is known that, in hydrogenated styrene-isoprene copolymers, the macromolecules are bonded by styrene blocks which, in a solution, are not well dissolved by the oil, forming a type of “loose network” [<xref ref-type="bibr" rid="scirp.48046-ref9">9</xref>] . The effect of network formation implies in the thickening of the oil, this effect being proportional to the concentration of styrene blocks. Thus, the observed difference in the thickening effect of the VIIs used in this work, can be associated with possible differences in the molecular structure of the polymers, with respect to the amount of styrene blocks.</p><p>Based on the data of kinematic viscosities, at 40˚C and 100˚C, the viscosity indexes were calculated, and the results are shown in <xref ref-type="table" rid="table2">Table 2</xref>. The viscosity indexes obtained for the LNP and for the MNP oils, 102 and 98, respectively, are in accordance with the values expected for lubricant oils (paraffinic petroleum), C<sub>24</sub> to C<sub>50</sub>, deparaffinated, dearomatized by solvent and hydrogenated [<xref ref-type="bibr" rid="scirp.48046-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.48046-ref10">10</xref>] . It can be seen, from the data presented in <xref ref-type="table" rid="table2">Table 2</xref>, that the viscosity indexes increase with the addition of VII and, also, the greater the VII concentration, the greater the VI. Also, this effect is more significant when the polymers are added to the LNP oil and, in addition, this effect is more pronounced when the A5 VII is added compared to the A2 VII.</p><p>According to [<xref ref-type="bibr" rid="scirp.48046-ref11">11</xref>] , when the polymer is added to the paraffinic oil in small concentrations, usually around 0.5 to 2% in mass percentage, it hardly affects the temperature dependence of viscosity of the paraffinic oil, except when there is a strong interaction between the VII and the oil or if a phase transition occurs. For the systems studied in the present work, the results shown in <xref ref-type="table" rid="table1">Table 1</xref>, and <xref ref-type="table" rid="table2">Table 2</xref>, as the addition of VIIs contributed to the increasing of the viscosity of the paraffinic oil, both at low and high temperatures, as well as a VI increase, and no phase transition was observed, suggest that there is a strong interaction between the VIIs and the oils, implying in a bigger hydrodynamic volume.</p><p>According to [<xref ref-type="bibr" rid="scirp.48046-ref12">12</xref>] , lubricating oils containing OCPs and PAMAs copolymers as additives show a lesser variation of viscosity with increasing temperatures when compared to pure paraffinic oil. The VIs of oils containing additives were larger than 140, reaching a maximum value of 154 when 2% of PAMA additive was added. Jukić and co-authors [<xref ref-type="bibr" rid="scirp.48046-ref13">13</xref>] studied the effect of the increased viscosity index of paraffinic oil with added styrene/dode- cil/octadecyl metacrilate terpolymers, and observed that all terpolymer/paraffinic mineral oil systems, with 5% mass concentration, showed a VI greater than 150.</p><p>In the present study, significant increases of the VIs were observed, reaching high values for mixtures at relatively small concentrations, 1% and 2% in mass. The fact that the A5 VII is more effective in increasing the VI compared to the A2 VII can be explained based on the formation of a “loose network”, due to the styrene blocks, earlier discussed, and allows one to use a smaller quantity of this additive for an specific selected VI.</p></sec><sec id="s3_2"><title>3.2. Analysis of Rheological Behavior from the Rheometric Tests</title><sec id="s3_2_1"><title>3.2.1. Stress Sweep Tests</title><p>The linear viscoelasticity region was determined through stress sweep tests for the evaluation of the resistance of the material to deformation until the collapse of its structure. It is necessary that the stress applied in this region induces a proportional deformation response [<xref ref-type="bibr" rid="scirp.48046-ref14">14</xref>] . All mixtures oils (LNP and MNP)/VIIs additives (A2 and A5), at different concentrations, presented a significant region of linear viscoelasticity, which means that the systems present a good stability to deformation. Through this test, it was also possible to observe, as expected, a predominance of the viscous behavior over the elastic one, since the quantity of oil present in the samples are much greater than the quantity of polymer added.</p><table-wrap id="table2"  position="float"><object-id pub-id-type="pii">Table 2</object-id><label>Table 2</label><caption><p>. Viscosity index (VI) of the pure LNP and MNP oils and of their mixtures with VIIs A2 and A5, at 1% and 2% mass concentration</p></caption><table><thead><tr><th align="center" valign="middle"  rowspan="2"  >[VII], %</th><th align="center" valign="middle"  colspan="4"  >Pure oil and mixtures oil + VII</th></tr></thead><tbody><tr><td align="center" valign="middle" >LNP + A2</td><td align="center" valign="middle" >LNP + A5</td><td align="center" valign="middle" >MNP + A2</td><td align="center" valign="middle" >MNP + A5</td></tr><tr><td align="center" valign="middle" >0</td><td align="center" valign="middle" >102</td><td align="center" valign="middle" >102</td><td align="center" valign="middle" >98</td><td align="center" valign="middle" >98</td></tr><tr><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >154</td><td align="center" valign="middle" >160</td><td align="center" valign="middle" >134</td><td align="center" valign="middle" >137</td></tr><tr><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >180</td><td align="center" valign="middle" >187</td><td align="center" valign="middle" >164</td><td align="center" valign="middle" >172</td></tr></tbody></table></table-wrap></sec><sec id="s3_2_2"><title>3.2.2. Steady State Flow Tests</title><p>From the steady state flow tests, stress-strain curves were obtained, as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, and it was possible to obtain the respective viscosity curves, as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. It was observed that the samples present a non- Newtonian behavior and, with the aid of the rheometer software, the obtained flow curves presented a best fit to Ostwald-de-Waele model (Power Law). The Power Law flow behavior indexes obtained were smaller than 1, in accordance with those expected for pseudoplastic fluids. Nevertheless, it can be observed that, at low shear stress values, the viscosity of the samples remains constant, and that it decreases as the shear stress values increase. This behavior can be explained considering that, in a low shear stress region, the polymeric molecules remain randomly dispersed, due to the Brownian movement, despite the shearing orientation initial effects. So, at very low shear stress, the pseudoplastic fluids behave as Newtonian fluids, having a viscosity (η<sub>0</sub>) independent of the shear stress. When the shear stress (γ) increases to a point in which shearing, which induces the polymeric molecule orientation, exceeds the randomizing effect of the Brownian movement, the viscosity decreases, that is, a pseudoplastic behavior.</p></sec><sec id="s3_2_3"><title>3.2.3. Creep and Recovery Tests</title><p>By analyzing the results obtained from the creep and recovery tests, it can be observed that the compliance (strain/stress ratio) is independent of the applied stress, as expected for the linear viscoelasticity region, as seen in <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>. Additionally, it is possible to observe that an increase in additive concentration (both for A2 and A5), for the whole time interval of the tests, results in a decrease in the compliance value. This behavior can be explained by the presence of the polymer which, even in low concentrations, offers greater resistance to deformation for an applied stress. The difference in behavior between the systems becomes even more evident when the compliance values of the oils with additives are compared with the values of the pure oils.</p></sec><sec id="s3_2_4"><title>3.2.4. Temperature Ramp Oscillatory Tests</title><p>In <xref ref-type="fig" rid="fig5">Figure 5</xref>, it is shown a typical curve of the storage or elastic (G’) and of the loss or viscous (G”) moduli and</p><fig id="fig1"><label>Figure 1</label><caption><p> Stress-strain curves obtained from steady state flow tests</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\564e8256-d291-4c69-8f56-21a1c03d4de1.png"/></fig><fig id="fig2"><label>Figure 2</label><caption><p> Viscosity as a function of shear stress</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\2990bba3-7b8c-4df7-9d39-eb041c7a441a.png"/></fig><fig id="fig3"><label>Figure 3</label><caption><p> Compliance versus time curves for samples of pure LNP and with additives (shear stress of 1 and of 10 Pa)</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\c66b20a8-8297-4370-b2d0-8c6eb73df104.png"/></fig><fig id="fig4"><label>Figure 4</label><caption><p> Compliance versus time curves for samples of pure MNP and with additives (shear stress of 1 and of 10 Pa)</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\a0f2005e-ccca-4dba-8967-0ec20190a1ad.png"/></fig><fig id="fig5"><label>Figure 5</label><caption><p> (G’), (G”) and (η*) curves for LNP + A2 VII (2%) as a time function</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\9cd25278-758d-4151-9eac-c4a712b18948.png"/></fig><p>of the complex viscosity (η*) as a function of time, obtained through the temperature ramp oscillatory test. In this figure, it is possible to observe that the visocus effect largely prevails over the elastic one, a result which corroborates those obtained from the stress sweep tests.</p><p>In <xref ref-type="fig" rid="fig6">Figure 6</xref> and <xref ref-type="fig" rid="fig7">Figure 7</xref> it is shown the dependency of the complex viscosity on temperature for the LNP and LNP + VII additives samples studied. For the MNP and MNP + VII additives, a similar behavior was observed. An increase in temperature induced a reduction of η* of the samples of light neutral, and medium neutral paraffinic mineral oils containing additives, a more pronounced effect in samples with higher additive concentration. By zooming the curves for the 100˚C to 150˚C range, as seen in <xref ref-type="fig" rid="fig7">Figure 7</xref>, it is shown that the complex viscosities of the mixtures, for all polymer concentrations, are higher than those of the pure oils, which implies in the efficacy of the A series additives as viscosity index improvers.</p><fig id="fig6"><label>Figure 6</label><caption><p> (η*) curves as a function of temperature for LNP samples (with and without additives)</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\f848ed70-400e-45bf-8496-278d658b83d7.png"/></fig><fig id="fig7"><label>Figure 7</label><caption><p> (η*) curves as a function of temperature for LNP samples (with and without additives) for the 100˚C to 150˚C range</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://file.scirp.org/Html/htmlimages\5-7501867x\1e9285d3-b0c6-49e2-b5e6-5a6c80c793a5.png"/></fig></sec></sec></sec><sec id="s4"><title>4. Conclusion</title><p>Both A series (A2 and A5) of additives, based on hydrogenated poly (isoprene-co-styrene), used in this work, are effective as viscosity index improvers, as shown by the determination of the viscosity indexes and by different rheometric tests. Light neutral paraffinic and medium neutral paraffinic oils are good solvents for the VIIs studied. The additives were more effective when dissolved in LNP oil, resulting in a greater percentage increase in the viscosity index, as compared to the dissolution in MNP oil. The additives showed different thickening effect, the A5 presenting a greater effect. This result was interpreted considering the formation of a loose network, due to the styrene blocks, which present low solutbility in paraffinic oil. The mixtures oil/VIIs additives showed a pseudoplastic behavior, with the flow curves being adjusted to fit the Ostwald-de-Waele model (Power Law), with negative flow behavior indexes. However, for low shear stresses, the mixtures showed a Newtonian behavior. It was observed that the VIIs decrease the compliance and, this effect is a function of VII additive concentration. This result was attributed to the resistance of the polymer to deformation, for an applied stress. It was observed, by different rheometric tests (temperature ramp oscillatory and stress sweep), that the visocus effect largely prevails over the elastic one, for mixtures oil/VIIs additives.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The authors thank the Polymer Science and Tecnology Laboratory of Federal University of Minas Gerais, Petrobras, CNPq, CAPES and FAPEMIG for all support for this research.</p></sec></body><back><ref-list><title>References</title><ref id="scirp.48046-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">BARROS, G. (2010) MERCADO E ECONOMIA. 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