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![]() Journal of Minerals and Materials Characterization and Engineering, 2013, 1, 307-314 Published Online November 2013 (http://www.scirp.org/journal/jmmce) http://dx.doi.org/10.4236/jmmce.2013.16046 Open Access JMMCE Predictability of Al-Mn Alloy Exposur e Time Based on Its As-Cast Weight and Corrosion Rate in Sea Water Environment Chukwuka Nwoye1*, Simeon Neife2, Ebere Ameh3, Awo Nwobasi4, Ndubuisi Idenyi5 1Department of Metallurgical and Materials Engineering, Nnamdi Azikiwe University, Awka, Nigeria 2Department of Metallurgical and Materials Engineering, University of Nigeria, Nsukka, Nigeria 3Department of Metallurgical and Materials Engineering, Enugu State University of Science & Technology, Enugu, Nigeria 4Department of Technology and Vocational Education, Ebonyi State University, Abakiliki, Nigeria 5Department of Industrial Physics, Ebonyi State University, Abakaliki, Nigeria Email: *[email protected] Received September 8, 2013; revised October 18, 2013; accepted October 30, 2013 Copyright © 2013 Chukwuka Nwoye et al. This is an open access article distributed under the Creative Commons Attribution Li- cense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. ABSTRACT This paper presents the predictability of aluminium-manganese alloy exposure time based on its as-cast weight and corrosion rate in sea water environment. The validity of the derived model: 26.67 0.550.29 is rooted on the core expression: 0.03750.0206 0.0109 where both sides of the expression are correspondingly approximately equal. Statistical analysis of model-predicted and experimentally evaluated exposure time for each value of as-cast weight and alloy corrosion rate considered shows a standard error of 0.0017% & 0.0044% and 0.0140% & 0.0150% respectively. The depths of corrosion penetration (at increasing corrosion rate: 0.0104 - 0.0157 mm/yr) as predicted by derived model and obtained from experiment are 0.7208 × 10−4 & 1.0123 × 10−4 mm and 2.5460 × 10−4 & 1.8240 × 10−4 mm (at decreasing corrosion rate: 0.0157 - 0.0062 mm/yr) respectively. Deviational analysis indicates that the maxi- mum deviation of the model-predicted alloy exposure time from the corresponding experimental value is less than 10%. Keywords: Prediction; Exposure Time; Al-Mn Alloys; Sea Water; Alloy As-Cast Weight; Corrosion Rate 1. Introduction The service performance of metals (or alloy), irrespective of the exposure environment is largely affected by their physical and mechanical properties such as hardness, weldability, toughness, malleability, ductility, resistance to fatique etc. It is therefore vital to consider these and other basic properties of metals or alloys when proposing their application for fabrication and other engineering purposes. Researchers [1] have suggested the need to know the specific corrosion rates of different metals and alloys in different application environment in order to know the materials that can withstand outdoor structural applica- tions. The stability of metals or alloys in an aggressive envi- ronment has been reported [2] to basically depend on the protective properties of organic or inorganic films as well as on the layer of corrosion products. The scientists con- cluded that the ability of films to act as controlling barri- ers against different kinds of corrosion attack is depend- ent on film properties such as chemical composition, adhesion, conductivity, solubility, morphology and hy- groscopicity. Several researchers [1,3] reported that the highlighted characteristic of films in turn depends on environmental variables such as atmospheric conditions, type and amount of pollutants as well as wet-dry cycle, the chemical composition and metallurgical history of the metals or alloys and physicochemical properties of coat- ing. Malfunctioning of engineering structures and equip- ment due to corrosion has been reported [4] to stem from tragic carelessness in plumbing, equipment manufacture and installation, with possibility of explosion, fire and spread of toxic materials in living environment. This is accompanied by some costs such as replacement of cor- roded equipment, disturbance in processes due to equip- *Corresponding author. C. NWOYE ET AL. 308 ment corrosion, shutdown of plants due to replacement of corroded equipment, impurity in processed products due to corrosion as well as waste of the products of those vessels which are attacked by corrosion. The report indi- cates that about 70 percent of losses can be prevented by observing related principles and instructions. One of the main problems in oil and gas industries is corrosion of pipelines and other engineering structures. This has always resulted in huge economic setback due to large sum of money spent in trying to combat it. Based on the forgoing, there is a great need to develop engi- neering materials that are corrosion resistant to avoid abrupt failure of the engineering structures. Recently, the corrosion characteristics of selected fer- rous metal samples (plain and alloyed ductile iron, low carbon steel and austenitic stainless steel) in crude oil were investigated by using weight loss method [5]. Stud- ies carried out during this work show that all the materi- als experience gain in weight within the first 10 days in the medium. This weight gain is attributed to the forma- tion of hard and passive phases which acted as strong protective barriers to corrosion. It was also observed that the rate of corrosion decreased with increase in the num- ber of days of exposure for all the coupons, this may be probably due to the deposition of corrosion products that tend to shield the corroding surface from further corro- sion attack, thereby depressing the rate of corrosion. This result shows that despite of initial low corrosion resis- tance of plain ductile iron, it can still be considered, alongside other materials, for application in pipelines and storage facilities for crude oil. Studies [6] on the corrosion behaviour of carbon steel under natural and stagnant seawater conditions have showed that the alloy is more corrosive in anaerobic stag- nant sea-water conditions than that in aerobic conditions. The study also revealed that in both aerobic and anaero- bic exposures, corrosion was more aggressive on hori- zontally oriented coupons compared to vertically orient- ed samples. The corrosion behaviour of low carbon steel has also been investigated [7] in natural seawater and various synthetic seawaters. It was found that the steel corroded nearly four times faster in a 3.5% NaCl solution than in natural seawater for an exposure time of 21 days. The corrosion rate after immersion in synthetic seawaters was found to be similar to the corrosion rate after immersion in natural seawater. Calcium carbonate (aragonite) de- posits were found on the surface of the steel after immer- sion in natural seawater and the synthetic seawaters. Some magnesium-containing deposits were also found after immersion in the natural seawater. These deposits act as a barrier against oxygen diffusion and thereby lower the corrosion rate. The morphology of the calcium carbonate deposits that formed during immersion in the natural seawater was found to be different from those formed during immersion in the solution. It has been shown [8] that MnAl6 formed from Al and Mn has almost the same electrode potential as aluminium and this compound is capable of dissolving iron which reduces the detrimental effect of Mn. Commercial Al-Mn alloys contains up to 1.25% manganese although the maximum solid solubility of this element in aluminium is as high as 1.82%. This limitation was imposed because the presence of iron as impurity reduces the solubility and there is a danger that large primary particles of MnAl6 will form with a disastrous effect on local ductil- ity. Polmear [8] reported that Al-Mn alloys belong to the 3xxx series of alloys which are used for the manufacture of roofing sheets. These sheets are subject to corrosion because of the presence of moisture and oxygen in the atmosphere. The corrosion of this alloy is due to the strong affinity aluminium has for oxygen which results to its oxidation and subsequent formation of oxide film. Ekuma et al. [9] reported that with time, this film be- comes passive to further oxidation and stable in aqueous media when the pH is between 4.0 and 8.5. It is impor- tant to state that the passive films can break and fall off, hence exposing the surface of the alloy to further corro- sion. Studies [4] on corrosion management indicate that it offers preventive strategies in two technical and non- technical domains. Technical domains as preventive strategies are highly important. These includes: 1) Up- grading planning methods and using advanced planning ones to better corrosion management and so prevent avoidable corrosion costs. In this vein, planning methods must change and the best corrosion technologies must be available for planners. 2) Improving corrosion technolo- gies via research and development. Corrosion can be controlled in most industries by using scientific methods and new technological achievements. Non-technical domain as preventive strategies includes: 1) Enhancing the employees' awareness about the high costs of corrosion and saving costs result in correct ap- plication of existing technologies and corrosion costs. Thus a lot of corrosion problems are due to lack of awareness about corrosion management and accountabil- ity of people in exchanging operations, inspection and maintenance of management system. 2) Changing guide- lines, protocols, standards and management methods to reduce corrosion costs by correct corrosion management, resulting in effective control of corrosion and safe opera- tion and increase in shelf life of equipment. 3) Amend- ing and generalization of employees’ instruction to in- troduce and identify corrosion control. 4) Changing and amending wrong belief about not being able to do any- thing about corrosion and making new decisions in pre- Open Access JMMCE ![]() C. NWOYE ET AL. 309 venting this phenomenon. The aim of this work is to ascertain the predictability of aluminium-manganese alloy exposure time based on its as-cast weight and corrosion rate in sea water envi- ronment. The model to be derived is expected to evaluate and predict directly the exact time (exposure time) at which the Al-Mn alloy should be exposed in the sea wa- ter environment putting into consideration its as-cast weight (alloy initial weight before corrosion) and corro- sion rate in such environment. The essence of this work is to determine the exact exposure time for a weighed Al-Mn alloy whose corrosion rate in the sea water envi- ronment is already known. This rules out exposure of the alloy to the corrosive environment longer than necessary; a situation that could result to very disastrous, undue corrosion penetration on the alloy and invariably, failure. The success of this work would eventually reduce abrupt failure of Al-Mn alloy in sea water environment due to over exposure. 2. Materials and Methods Materials used for this work are aluminium of 96% pu- rity and pure granulated manganese. Details of the ex- perimental procedure and associated process conditions are as stated in the previous report [10]. 2.1. Model Formulation Experimental data obtained from research work [10] were used for this work. Computational analysis of the experimental data [10] shown in Table 1, gave rise to Table 2 which indicate that: e K SN (1) Introducing the values of K, S and Ne into Equation (1) reduces it to: 0.03750.0206 0.0109 (2) 0.0206 0.0109 0.0375 (3) 26.67 0.550.29 (4) where K = 0.0375; Overall Al-Mn alloy-sea water tem- perature interaction factor (determined using C-NIK- BRAN [11]). S = 0.0206; First order alloy degradability Table 1. Variation of corrosion rate with exposure time and alloy as-cast weight [10]. (β) (mm/yr) (α) (hrs) (γ) (g) 0.0104 0.0140 0.0157 0.0105 0.0062 336 450 504 600 672 12.0754 12.3911 12.4775 13.2012 13.7434 Table 2. Variation of 0.0375α with γ + 0.0206β – 0.0109. 0.0375α(γ) 0.0206β0.0109 γ + 0.0206β – 0.0109 0.00144 0.00193 0.00216 0.00257 0.00288 0.0104 0.0140 0.0157 0.0105 0.0062 0.00021 0.00029 0.00032 0.00022 0.00013 0.0109 0.0109 0.0109 0.0109 0.0109 0.00141 0.00179 0.00192 0.00252 0.00293 Coefficient (determined using C-NIKBRAN [11]); N e= 0.0109; Film solubility-adhesion ratio in sea water (de- termined using C-NIKBRAN [11]); (β)= Corrosion rate (mm/yr); (α) = Exposure time (yr); (γ) = Initial weight of alloy (kg). 2.2. Boundary and Initial Conditions Consider solid Al-Mn alloy exposed to sea water envi- ronment and interacting with some corrosion-induced agents. The sea water is assumed to be affected by un- wanted dissolved gases. Range of exposed time consid- ered: 0.0384 - 0.0767 yrs (336 - 672 hrs). Initial weight range considered: 0.0121 - 0.0137 kg (12.0754 - 13.7434 g). Purity of aluminium used: 96%. Concentration of manganese addition: 4%. Details of experiment and other process conditions are as stated in the experimental tech- nique [10]. The boundary conditions are: aerobic environment to enhance Al-Mn alloy oxidation (since the sea water con- tains oxygen). At the bottom of the exposed alloy, a zero gradient for the gas scalar are assumed. The exposed alloy is stationary. The sides of the solid are taken to be symmetries. 3. Results and Discussions The derived model is Equation (4). Computational analy- sis of Table 1 gave rise to Tables 2 and 3. The derived model is two-factorial in nature because it is a constituent of two input process factors: as-cast weight (initial alloy weight) and corrosion rate. This implies that the pre- dicted exposure time for the Al-Mn alloy in sea water environment is dependent on just two factors: as-cast weight and corrosion rate of the alloy. 3.1. Model Validation The validity of the model is strongly rooted on Equation (2) (core model equation) where both sides of the equa- tion are correspondingly approximately equal. Table 2 also agrees with Equation (2) following the values of 0.0375α and γ + 0.0206β – 0.0109 evaluated from the experimental results in Table 1 . Furthermore, the derived model was validated by comparing the exposure time predicted by the model and that obtained from the ex- periment [10]. This was done using various analytical techniques. Open Access JMMCE ![]() C. NWOYE ET AL. 310 Table 3. Evaluated variation of corrosion rate of Al-Mn alloy with its as-cast weight and exposure time. (β) (mm/yr) (α) (yrs) (γ) (kg) 0.0104 0.0140 0.0157 0.0105 0.0062 0.0384 0.0514 0.0575 0.0685 0.0767 0.0121 0.0124 0.0125 0.0132 0.0137 3.2. Computational Analysis Computational analysis of the experimental and model- predicted exposure time was carried out to ascertain the degree of validity of the derived model. This was done by comparing the depth of corrosion penetration obtained by calculations involving experimental results, and pre- dicted directly by the model. The depth of corrosion penetration for Al-Mn alloy during the period of exposure in the sea water environ- ment CD (mm) was calculated from the equation; D C (5) Δβ = Change in the corrosion rates β2, β1 within a range of exposure time: α1 - α2. Δα = Change in the alloy ex- posure time α2, α1. Considering experimental results of points (0.0384, 0.0104) and (0.0575, 0.0157) for ( α 1 , β 1 ) and ( α 2 , β 2 ) respectively (during the period corrosion rate was in- creasing) , (as in Figure 1 ) and substituting them into Equation (5), gives 1.0123 × 10 − 4 mm as the depth of corrosion penetration on the alloy during the actual cor- rosion process . Also similar plot (as in Figure 2 ) using model-predicted results of points (0.0384, 0.0104) and (0.0520, 0.0157) for ( α 1 , β 1 ) and ( α 2 , β 2 ) respectively, during the period corrosion rate was increasing and sub- stituting them into Equation (5) gives the depth of cor- rosion penetration on the alloy as 0.7208 × 10 − 4 mm. This is the model-predicted depth of corrosion penetra- tion on the alloy. Furthermore, substituting experimental results of points (0.0575, 0.0157) and (0.0767, 0.0062) for ( α 1 , β 1 ) and ( α 2 , β 2 ) respectively (during the period corrosion rate was decreasing) , (as in Figure 1 ) into Equation (5), gives −1.8240 × 10−4 mm as the depth of corrosion penetration on the alloy. On other hand, substituting model-predicted results of points (0.0520, 0.0157) and (0.0788, 0.0062) for ( α 1 , β 1 ) and ( α 2 , β 2 ) respectively, during decreasing corrosion rate (as in Figure 2 ) into Equation (5) gives −2.5460 × 10−4 mm. The negative signs preceding the magnitudes of the depth of corrosion penetration do not indicate that the depth of the penetration is negative, but that the cor- rosion penetration occurred when the alloy corrosion rate is decreasing and so are discarded. Based on the forego- ing, the depths of corrosion penetration during the period corrosion rate was decreasing as obtained from experiments R 2 = 0.9627 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.01040.0140.0157 0.0105 0.0062 Corrosion rate (mm/yr) Exposure time (yr) Figure 1. Coefficient of determination between alloy expo- sure time and its corrosion rate as obtained from the ex- periment [10]. R 2 = 0.8722 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.01040.0140.0157 0.01050.0062 Corrosion rate (mm/ yr) Exposure time (yr) Figure 2. Coefficient of determination between alloy expo- sure time and its corrosion rate as predicted by derived model. [10] and derived model are 1.8240 × 10−4 and 2.5460 × 10−4 mm respectively. 3.3. Statistical Analysis Statistical analysis of model-predicted and experimen- tally evaluated exposure time for each value of as-cast weight and alloy corrosion rate considered shows a stan- dard error (STEYX) of 0.0017% & 0.0044% and 0.0140% & 0.0150 % respectively. The standard error was evalu- ated using a Microsoft Excel [12]. Furthermore, as a way validating the derived model, regression model (highlighted from [12]) was used to predict the corresponding exposure time for the values of as-cast weight and corrosion rate considered, and the results are shown in Figures 3 and 4. On the other hand, the standard error in predicting the exposure time for each value of corrosion rate considered is 0.0119%. The correlations between exposure time and as-cast Open Access JMMCE ![]() C. NWOYE ET AL. 311 weight as well as exposure time and corrosion rate as obtained from derived model, regression model and ex- perimental results [10] were calculated. This was done by considering the coefficients of determination R2 from Figures 1-6, using the equation: 2 RR (6) The evaluated correlations are shown in Tables 4 and 5. The model was also validated by comparing its results of evaluated correlations between exposure time and as- cast weight as well as exposure time and corrosion rate with that evaluated using experimental and regression model-predicted results. Tables 4 and 5 show that the correlation results from experiment, derived model (D- MoD) and R-MoD are in proximate agreement. 3.4. Graphical Analysis Results predicted by the regression model were plotted; R 2 = 1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.012 0.0125 0.013 0.0135 0.014 As-cast weight (kg) Exposure time (yr) Figure 3. Coefficient of determination between alloy expo- sure time and its as-cast weight as predicted by regression model. R 2 = 0.9368 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.01040.0140.0157 0.0105 0.0062 Corrosion rate ( mm/ y r ) Exposure time (yr) Figure 4. Coefficient of determination between alloy expo- sure time and its corrosion rate as predicted by regression R 2 = 0.933 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0120.0125 0.0130.0135 0.01 4 As-cast wei g ht ( k g) Exposure time (yr) Figure 5. Coefficient of determination between alloy expo- sure time and its as-cast weight as obtained from the ex- periment [10]. R 2 = 0.9918 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.012 0.0125 0.0130.0135 0.014 As-cast weight (kg) Exposure time (yr) Figure 6. Coefficient of determination between alloy expo- able 4. Comparison of the correlations between exposure sure time and its as-cast weight as predicted by derived model. T time and alloy as-cast weight as evaluated from experimen- tal, derived model and re gre ssion pr e dic te d results. Based on alloy as-cast weight Analysis ExoD D D-MoD R-M CORRELL 0 .96590.9659 1.0000 able 5. Comparison of the correlations between exposure T time and alloy corrosion rate as evaluated from experimen- tal, derived model and re gre ssion pr e dic te d results. Based on corrosion rate Analysis ExD D-MoD R-MoD CORRELL 0 .98120.9339 0.9679 xposure time against alloy as-cast weight and corrosion e rate respectively along with results from the experiment and derived model to analyze its spread and trend relative to results from experiment and derived model. model. Open Access JMMCE ![]() C. NWOYE ET AL. 312 Comparative graphical analysis of Figures 7 and 8 3.5. Deviational Analysis sure time from the experi- shows very close alignment of the curves from derived model and experiment. Figures 9 and 10 also indicate a close alignment of curves from derived model (MoD), regression model (R-MoD) predicted results as well as experimental (ExD). Comparative analysis of expo ment [10] and derived model revealed deviations on the part of the model-predicted values relative to values ob- tained from the experiment. This is attributed to the fact that the surface properties of the alloy and the physio- chemical interaction between the alloy and corrosion induced agents (in the sea water) were not considered during the model formulation. This necessitated the in- troduction of correction factor, to bring the model-pre- dicted corrosion rate to those of the corresponding ex- perimental values. 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0120.0125 0.0130.0135 0.014 As-cast weight (kg) Exposu re time (yr) ExD MoD Figure 7. Comparison of the alloy exposure time (relative to its as-cast weight) as obtained from experiment [10] and derived model. 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.01040.0140.0157 0.0105 0.0062 Corrosion rate ( mm/ y r ) Exposed time (yr) ExD MoD Figure 8. Comparison of the alloy exposure time (relative to derived model. its corrosion rate) as obtained from experiment [10] and 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.012 0.0125 0.0130.0135 0.014 As-cast weight (kg) Exposure time (yr) ExD MoD ReG Figure 9. Comparison of the alloy exposure time (relative to its as-cast weight) as obtained from experiment [10] derived and regression model. 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Exp osure time (yr) ExD MoD 0.0104 0.014 0.01570.01050.0062 Corrsion rate ( mm/ y r ) ReG Figure 10. Comparison of the alloy exposure time (relative to its corrosion rate) as obtained from experiment [10] de- predicted corrosion rate from at of rived and regression model. Deviation (Dn) of model- th the experiment[10] is given by –100 CR CR PE Dn CR E (14) Correction factor (Cr) is the negative i.e. of the deviation Cr Dn (15) therefore –100 CR CR CR PE Cr E (16) where: PCR = Model-predicted exposure ti y the corre- me (yr); ECR = Exposure time obtained from experiment [10] (yr); Cr = Correction factor (%); Dn = Deviation (%). Introduction of the corresponding values of Cr from Equation (9) into the model gives exactl Open Access JMMCE ![]() C. NWOYE ET AL. 313 sp the corre- sp of the curve in Figures 13 and 14 is op- po onding experimental corrosion rate. Figures 11 and 12 show that the maximum deviation of the mode-predicted exposure time from onding experimental values is less than 10% and quite within the acceptable deviation limit of experimental results. These figures show that least and highest magni- tudes of deviation of the model-predicted exposure time (from the corresponding experimental values) are 0% and −9.57% which corresponds to exposure times: 0.0384 and 0.0520 yr, alloy as-cast weight; 0.0121 and 0.0125 kg and alloy corrosion rates; 0.0104 and 0.0157 mm/yr respectively. Comparative analysis of Figures 11-14 indicates that the orientation site that of the deviation of model-predicted exposure time (Figures 11 and 12). This is because correction factor is the negative of the deviation as shown in Equa- tions (8) and (19). It is believed that the correction factor takes care of the effects of the surface properties of the alloy which were not considered during the model for- mulation. Figures 13 and 14 indicate that the least and highest magnitudes of correction factor to the model- 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 4 0.0121 0.0124 0.0125 0.0132 0.0137 As-cast weight (kg) Exposure tim e (yr) -12 -10 -8 -6 -4 -2 0 2 Devia tion (%) Expo time Deviation Figure 11. Variation of model-predicted alloy exposure time (relative to its as-cast weight) with its associated devi ation from experimental values. 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.01040.0140.0157 0.0105 0.0062 Co rrosion rate ( mm/ y r ) Exposure time (yr) -12 -10 -8 -6 -4 -2 0 2 Deviation (%) 4 Expo time Deviation Figure 12. Variation of model-predicted alloy exposure time (relative to its corrosion rate) with its associated devi from experimental values. ation 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Exposure time (yr -4 -2 0 2 4 6 8 Correction factor (%) ) 10 12 Expo time 0.01210.0124 0.0125 0.01320.0137 As-cast wei g ht ( k g) Corr.factor Figure 13. Variation of model-predicted alloy exposure time (relative to its as-cast weight) with its associated correion factor. ct 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 12 0.0104 0.014 0.01570.01050.0062 Corrosion rate (mm/yr) Exposure time (yr) -4 -2 0 2 4 6 8 10 Correction f actor (% ) Expo time Corr.factor Figure 14. Variation of model-predicted alloy exposure time (relative to its corrosion rate) with its associated correion factor. to exposure times: 0.0384 and 0.0520 yr, alloy Aluminium-manganese alloy exposure time was evalu- based on its as-cast weight and cor- ct predicted exposure time are 0 and +9.57% which corre- sponds as-cast weight; 0.0121 and 0.0125 kg and alloy corrosion rates; 0.0104 and 0.0157 mm/yr respectively. It is important to state that the deviation of model pre- dicted results from that of the experiment is just the magnitude of the value. The associated sign preceding the value signifies that the deviation is deficit (negative sign) or surplus (positive sign). 4. Conclusion ated and predicted rosion rate in sea water environment. The validity of the derived model was rooted on the core expression: 0.03750.0206 0.0109 where both sides of the expression are correspondingly approximately equal. Statistical analysis of model-predicted and experimen- tally evaluated exposure time for each value of as-cast weight and alloy corrosion rate considered shows a stan- dard error of 0.0017% & 0.0044% and 0.0140% & Open Access JMMCE ![]() C. NWOYE ET AL. Open Access JMMCE 314 [1] C. E. Ekuma and N. E. Idenyi, “Statistical Analysis of the Influence of tion of Corrosion from Its Param of Physics, Vol. 1, 0.0150 % respectively. The depths of corrosion penetra- tion (at increasing corrosion rate: 0.0104 - 0.0157 mm/yr) as predicted by derived model and obtained from ex- periment are 0.7208 × 10 − 4 & 1.0123 × 10 − 4 mm and 2.5460 × 10−4 & 1.8240 × 10−4 mm (at decreasing corro- sion rate: 0.0157 - 0.0062 mm/yr) respectively. Devi- ational analysis indicates that the maximum deviation of the model-predicted alloy exposure time from the corre- sponding experimental value is less than 10%. REFERENCES Environment on Predic eters,” Research Journal No. 1, 2007, pp. 27-34. http://dx.doi.org/10.3923/rjp.2007.27.34 [2] M. Stratmann, K. Bohnenkamp and W. J. Engell, “An Electrochemical Study of ers,” Corrosion Science, Vol. 23, 1983, pp Phase Transitions in Rust Lay . 969-985. ci- - [3] S. G. Stratmann and H. 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