<p>The present research investigates the heat transfer characteristics of CeO<sub>2</sub> nanofluid flow over a stretching sheet by incorporating the effects of thermal radiation, viscous dissipation, Joule heating, and with heat generation/absorption. This paper focuses on the impact of different nanoparticle shapes, including spherical, cylindrical, and platelet forms, influencing the thermal performance of nanofluids. The governing partial differential equations are converted into ordinary differential equations and solved numerically using the bvp4c solver in MATLAB. The study offers a comprehensive analysis of variations in the velocity profile, temperature profile, heat transfer rate, and skin friction under the influence of different physical parameters, with graphical representations of the results. The rate of heat transfer is investigated using response surface methodology (RSM) and sensitivity analysis, focusing on the influence of three key parameters: the magnetic parameter <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14493_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="94" /> </InlineMediaObject> <EquationSource Format="TEX">$(1 \le M \le 2)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>≤</mo> <mi>M</mi> <mo>≤</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, nanoparticle volume fraction <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14493_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="112" /> </InlineMediaObject> <EquationSource Format="TEX">$(1\% \le \phi \le 3\%)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>%</mo> <mo>≤</mo> <mi>ϕ</mi> <mo>≤</mo> <mn>3</mn> <mo>%</mo> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and radiation parameter <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14493_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="114" /> </InlineMediaObject> <EquationSource Format="TEX">$(0.3 \le R \le 0.9)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>0.3</mn> <mo>≤</mo> <mi>R</mi> <mo>≤</mo> <mn>0.9</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>. The findings show that cylindrical nanoparticles provide the best performance in terms of temperature distribution and heat transfer. The study concludes that the heat transfer exhibits a positive sensitivity to thermal radiation, while it shows negative sensitivity to both the magnetic field strength and the nanoparticle volume fraction.</p>

Nanoparticle shape effect on heat transfer in nanofluid flow past a stretching sheet with exponential heat source/sink: a statistical approach

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发表日期：

2025年7月7日

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J. Pavithra,
T. Prasanna Kumar,
N. V. Raju,
S. N. Sridhara

摘要

The present research investigates the heat transfer characteristics of CeO₂ nanofluid flow over a stretching sheet by incorporating the effects of thermal radiation, viscous dissipation, Joule heating, and with heat generation/absorption. This paper focuses on the impact of different nanoparticle shapes, including spherical, cylindrical, and platelet forms, influencing the thermal performance of nanofluids. The governing partial differential equations are converted into ordinary differential equations and solved numerically using the bvp4c solver in MATLAB. The study offers a comprehensive analysis of variations in the velocity profile, temperature profile, heat transfer rate, and skin friction under the influence of different physical parameters, with graphical representations of the results. The rate of heat transfer is investigated using response surface methodology (RSM) and sensitivity analysis, focusing on the influence of three key parameters: the magnetic parameter $(1 \le M \le 2)$ $(1 \leq M \leq 2)$ , nanoparticle volume fraction $(1\% \le \phi \le 3\%)$ $(1 % \leq ϕ \leq 3 %)$ , and radiation parameter $(0.3 \le R \le 0.9)$ $(0.3 \leq R \leq 0.9)$ . The findings show that cylindrical nanoparticles provide the best performance in terms of temperature distribution and heat transfer. The study concludes that the heat transfer exhibits a positive sensitivity to thermal radiation, while it shows negative sensitivity to both the magnetic field strength and the nanoparticle volume fraction.