<p>The current research aims to maximize heat transfer efficiency, which is obtained by focusing on the optimization through sensitivity analysis of the steady heat transfer flow of magnetized Sutterby nanofluid along an exponentially stretching sheet in a porous medium. This is accomplished by using response surface methodology (RSM) to evaluate the effects of key parameters on the heat transfer rate or the Nusselt number. Numerical data for fluid flow equations is produced via MATLAB’s embedded bvp4c tool. The results are illustrated visually, along with the appropriate physical interpretations, and a sensitivity study is conducted to assess the impact of input factors on the response factor. The research findings show that the heat transfer rate increases by <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_854_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">$17.31\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>17.31</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> for the increasing radiation parameter, whereas the magnetic field parameter (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_854_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">$M^*$</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>M</mi> <mo>∗</mo> </msup> </math></EquationSource> </InlineEquation>) diminishes it. Further, in a specific instance, the current numerical results are consistent and agree with those of earlier studies. The sensitivity analysis method, in turn, helps to access critical parameter values for optimizing and regulating heat transfer rates. The RSM sensitivity study shows that the heat transfer rate is positively sensitive to the radiation parameter. Further, the heat transfer rate for the case of variable thermal conductivity is found to be a maximum of approximately 2.6955 with a desirability of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_854_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">$98\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>98</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>. Further analysis revealed that the non-Newtonian Sutterby model is critical to the velocity profile distribution, while variable thermal conductivity is prominent than constant thermal conductivity in the temperature profile distribution. The study emphasizes the importance of these characteristics in enhancing the development of more precise predictive models for industrial applications utilizing Sutterby nanofluid, including polymer manufacturing and modern cooling systems.</p>

Sensitivity analysis of magnetized Sutterby nanofluid flow with variable thermal conductivity: an extensive ANOVA-RSM approach

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发表日期：

2025年4月3日

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Vasanth Suriya,
Padigepati Naveen

摘要

The current research aims to maximize heat transfer efficiency, which is obtained by focusing on the optimization through sensitivity analysis of the steady heat transfer flow of magnetized Sutterby nanofluid along an exponentially stretching sheet in a porous medium. This is accomplished by using response surface methodology (RSM) to evaluate the effects of key parameters on the heat transfer rate or the Nusselt number. Numerical data for fluid flow equations is produced via MATLAB’s embedded bvp4c tool. The results are illustrated visually, along with the appropriate physical interpretations, and a sensitivity study is conducted to assess the impact of input factors on the response factor. The research findings show that the heat transfer rate increases by $17.31\%$ $17.31 %$ for the increasing radiation parameter, whereas the magnetic field parameter ( $M^*$ $M^{*}$ ) diminishes it. Further, in a specific instance, the current numerical results are consistent and agree with those of earlier studies. The sensitivity analysis method, in turn, helps to access critical parameter values for optimizing and regulating heat transfer rates. The RSM sensitivity study shows that the heat transfer rate is positively sensitive to the radiation parameter. Further, the heat transfer rate for the case of variable thermal conductivity is found to be a maximum of approximately 2.6955 with a desirability of $98\%$ $98 %$ . Further analysis revealed that the non-Newtonian Sutterby model is critical to the velocity profile distribution, while variable thermal conductivity is prominent than constant thermal conductivity in the temperature profile distribution. The study emphasizes the importance of these characteristics in enhancing the development of more precise predictive models for industrial applications utilizing Sutterby nanofluid, including polymer manufacturing and modern cooling systems.