In the quest for next-generation cooling technologies, this study delves into the flow and heat transfer characteristics of hybrid nanofluids Cu + Al2O3 in (EG) ethylene glycol around a stretchable cylinder, incorporating non-Newtonian power-law behavior, viscous dissipation, Cattaneo–Christov heat flux, porous media, Hall currents, and magnetic fields. Using the Runge–Kutta–Fehlberg (RKF45) method with a shooting technique, implemented in Python, the effects of key parameters such as nanoparticle volume fractions, curvature, magnetic field strength, and thermal relaxation on axial velocity, transverse velocity, and temperature profiles are analyzed. Results show that increasing the magnetic field M reduces axial velocity and enhances transverse velocity due to the Hall effect m. Higher thermal relaxation Γ improves heat transfer rates, elevating the Nusselt number <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5718_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">$N{u}_{x}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <msub> <mi>u</mi> <mi>x</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>, while dilatant fluids (n = 1.2) exhibit higher skin friction coefficients <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5718_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">${C}_{{f}_{x}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <msub> <mi>f</mi> <mi>x</mi> </msub> </msub> </math></EquationSource> </InlineEquation> and greater <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5718_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">$N{u}_{x}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <msub> <mi>u</mi> <mi>x</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> compared to pseudoplastic fluids (n = 0.7). Nanoparticle volume fractions (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5718_Article_IEq4.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">${\varphi }_{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>φ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5718_Article_IEq5.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">${\varphi }_{1}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>φ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>) enhance thermal conductivity but increase viscous resistance, reducing <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5718_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">$N{u}_{x}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <msub> <mi>u</mi> <mi>x</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> at higher curvature γ. This work uniquely integrates Hall currents, Cattaneo–Christov heat flux, and Sisko fluid behavior in a cylindrical geometry, offering new insights into optimizing shear-thinning/thickening behaviors for advanced cooling systems in automotive, aerospace, and MHD applications.

Hall impact on hybrid Sisko nanofluid flow past a stretchable cylinder with Cattaneo–Christov heat flux

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发表日期：

2025年6月28日

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Mohamed A El-Hamid,
Emad M Abo-El Dahab,
Mohamed Abd El-Aziz,
Ahmed M Salem

摘要

In the quest for next-generation cooling technologies, this study delves into the flow and heat transfer characteristics of hybrid nanofluids Cu + Al₂O₃ in (EG) ethylene glycol around a stretchable cylinder, incorporating non-Newtonian power-law behavior, viscous dissipation, Cattaneo–Christov heat flux, porous media, Hall currents, and magnetic fields. Using the Runge–Kutta–Fehlberg (RKF45) method with a shooting technique, implemented in Python, the effects of key parameters such as nanoparticle volume fractions, curvature, magnetic field strength, and thermal relaxation on axial velocity, transverse velocity, and temperature profiles are analyzed. Results show that increasing the magnetic field M reduces axial velocity and enhances transverse velocity due to the Hall effect m. Higher thermal relaxation Γ improves heat transfer rates, elevating the Nusselt number $N{u}_{x}$ $N u_{x}$ , while dilatant fluids (n = 1.2) exhibit higher skin friction coefficients ${C}_{{f}_{x}}$ $C_{f_{x}}$ and greater $N{u}_{x}$ $N u_{x}$ compared to pseudoplastic fluids (n = 0.7). Nanoparticle volume fractions ( ${\varphi }_{2}$ $φ_{2}$ and ${\varphi }_{1}$ $φ_{1}$ ) enhance thermal conductivity but increase viscous resistance, reducing $N{u}_{x}$ $N u_{x}$ at higher curvature γ. This work uniquely integrates Hall currents, Cattaneo–Christov heat flux, and Sisko fluid behavior in a cylindrical geometry, offering new insights into optimizing shear-thinning/thickening behaviors for advanced cooling systems in automotive, aerospace, and MHD applications.