<p>This study examines the impact of Stefan blowing and elastic deformation on chemical reactive flow of tetra-hybrid nanofluid over linearly stretchable inclined sheet with convective boundary conditions. Significance of elastic deformation, viscous dissipation, and porous medium are considered. Determining the tetra-hybrid nanofluid thermal mobility using propylene glycol (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14174_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="64" /> </InlineMediaObject> <EquationSource Format="TEX">\({{C}_{3}\text{H}}_{8}{O}_{2})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mrow> <msub> <mi>C</mi> <mn>3</mn> </msub> <mtext>H</mtext> </mrow> <mn>8</mn> </msub> <msub> <mi>O</mi> <mn>2</mn> </msub> <mrow> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> as the base fluid is the primary goal of this investigation. The nanoparticles <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14174_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="116" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{MoS}}_{2}, Si{O}_{2}, Cu\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>MoS</mtext> <mn>2</mn> </msub> <mo>,</mo> <mi>S</mi> <mi>i</mi> <msub> <mi>O</mi> <mn>2</mn> </msub> <mo>,</mo> <mi>C</mi> <mi>u</mi> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14174_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="65" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text{CoF}{e}_{2}{O}_{4}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>CoF</mtext> <msub> <mi>e</mi> <mn>2</mn> </msub> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> adept for the thermal analysis using the Yamada–Ota model thermal conductivity model. This model is critical for maximizing the cooling systems and heating in electronic equipment, where longevity and performance depend on accurate temperature regulation. It can also be used in aerospace engineering, where inclined surfaces and changeable fluid characteristics are typical, for the thermal control of aircraft and spacecraft surfaces. The model is further improved by the addition of Stefan blowing effects and elastic deformation, which makes it applicable to applications involving flexible materials and phase change processes, such flexible electronics and sophisticated manufacturing methods. The numerical solutions are derived using the RKF-45th-order-based shooting technique. A significant outcome of the current work is that, as the elastic deformation parameter rises, the flow profiles increase but the thermal profiles decrease.</p> Graphic abstract <p></p>

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Thermal and solutal convective flow of propylene glycol-based tetra-hybrid nanofluid with elastic deformation and Stefan blowing impacts: application to thermal energy

  • Ahmed M. Galal,
  • Munawar Abbas,
  • Rifaqat Ali,
  • Shaxnoza Saydaxmetova,
  • Talib K. Ibrahim,
  • Zeshan Faiz,
  • Abdullah A. Faqihi,
  • Abdulhadi A. Altherwi

摘要

This study examines the impact of Stefan blowing and elastic deformation on chemical reactive flow of tetra-hybrid nanofluid over linearly stretchable inclined sheet with convective boundary conditions. Significance of elastic deformation, viscous dissipation, and porous medium are considered. Determining the tetra-hybrid nanofluid thermal mobility using propylene glycol ( \({{C}_{3}\text{H}}_{8}{O}_{2})\) C 3 H 8 O 2 ) as the base fluid is the primary goal of this investigation. The nanoparticles \({\text{MoS}}_{2}, Si{O}_{2}, Cu\) MoS 2 , S i O 2 , C u and \(\text{CoF}{e}_{2}{O}_{4}\) CoF e 2 O 4 adept for the thermal analysis using the Yamada–Ota model thermal conductivity model. This model is critical for maximizing the cooling systems and heating in electronic equipment, where longevity and performance depend on accurate temperature regulation. It can also be used in aerospace engineering, where inclined surfaces and changeable fluid characteristics are typical, for the thermal control of aircraft and spacecraft surfaces. The model is further improved by the addition of Stefan blowing effects and elastic deformation, which makes it applicable to applications involving flexible materials and phase change processes, such flexible electronics and sophisticated manufacturing methods. The numerical solutions are derived using the RKF-45th-order-based shooting technique. A significant outcome of the current work is that, as the elastic deformation parameter rises, the flow profiles increase but the thermal profiles decrease.

Graphic abstract