<p>This study investigates the combined effects of chemical reaction, heat source, double stratification and entropy generation on the magnetohydrodynamic (MHD) slip flow of nanofluid over an elongated cylinder. The concept of double stratification, encompassing simultaneous temperature gradient as well as nanoparticle concentration gradient, is explored for its potential to enhance energy storage systems by empowering thermal conductivity and heat storage capacity. The influence of chemical reaction as well as heat source on temperature and concentration distributions is examined in detail. The governing partial differential equations are transformed into a set of ordinary differential equations and solved numerically using MATLAB’s built-in bvp4c solver. Computational results are validated against existing literature for specific cases, ensuring accuracy and reliability. The study further analyzes entropy generation to evaluate system efficiency. The most interesting outcome is that the velocity distribution does not indicate reversibility of the flow, but the temperature distribution possesses a critical layer of reversibility at <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5867_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="55" /> </InlineMediaObject> <EquationSource Format="TEX">$\eta \simeq 2.0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>η</mi> <mo>≃</mo> <mn>2.0</mn> </mrow> </math></EquationSource> </InlineEquation> under the influence of magnetic field parameter (M) and Brownian motion parameter (Nb). One more noteworthy remark in response to chemical reaction parameter on heat transfer is that the point of reversibility appears at <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5867_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="55" /> </InlineMediaObject> <EquationSource Format="TEX">$\eta \simeq 1.5$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>η</mi> <mo>≃</mo> <mn>1.5</mn> </mrow> </math></EquationSource> </InlineEquation>. Thus, the formation of thermal boundary layer is a far reaching cry in respect of the magnetic parameter (M), Brownian motion (Nb) and chemical reaction parameter (Kc). The heat source parameter (s1) does not possess any point of reversibility of thermal power distribution. This ensures the stable distribution of thermal power as well as formation of thermal boundary layer structure. These observations find applications in industrial and biological fields.</p>

Numerical analysis of chemically reactive MHD slip flow of nanofluids over an elongated cylinder: effects of entropy generation, heat flux and double stratification

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发表日期：

2025年9月2日

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Chandra Sekhar Sahoo,
Bharat Keshari Swain,
Manjula Das,
G. C. Dash

摘要

This study investigates the combined effects of chemical reaction, heat source, double stratification and entropy generation on the magnetohydrodynamic (MHD) slip flow of nanofluid over an elongated cylinder. The concept of double stratification, encompassing simultaneous temperature gradient as well as nanoparticle concentration gradient, is explored for its potential to enhance energy storage systems by empowering thermal conductivity and heat storage capacity. The influence of chemical reaction as well as heat source on temperature and concentration distributions is examined in detail. The governing partial differential equations are transformed into a set of ordinary differential equations and solved numerically using MATLAB’s built-in bvp4c solver. Computational results are validated against existing literature for specific cases, ensuring accuracy and reliability. The study further analyzes entropy generation to evaluate system efficiency. The most interesting outcome is that the velocity distribution does not indicate reversibility of the flow, but the temperature distribution possesses a critical layer of reversibility at $\eta \simeq 2.0$ $η ≃ 2.0$ under the influence of magnetic field parameter (M) and Brownian motion parameter (Nb). One more noteworthy remark in response to chemical reaction parameter on heat transfer is that the point of reversibility appears at $\eta \simeq 1.5$ $η ≃ 1.5$ . Thus, the formation of thermal boundary layer is a far reaching cry in respect of the magnetic parameter (M), Brownian motion (Nb) and chemical reaction parameter (Kc). The heat source parameter (s1) does not possess any point of reversibility of thermal power distribution. This ensures the stable distribution of thermal power as well as formation of thermal boundary layer structure. These observations find applications in industrial and biological fields.