<p>The present work examined the characteristics of activation energy and Stefan blowing on Marangoni convective flow of Ellis tetra hybrid nanofluid over a sheet with Soret and Dufour impacts. Mathematical modeling and analysis have been made in the existence of Dufour and Soret impacts applying the extended Yamada–Ota thermal conductivity model. A tetra hybrid nanofluid consisting of Aluminum oxide <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2024_5329_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(({\text{Al}}_{2}{O}_{3})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mtext>Al</mtext> <mn>2</mn> </msub> <msub> <mi>O</mi> <mn>3</mn> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, Copper <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2024_5329_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left(Cu\right),\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mfenced close=")" open="("> <mi>C</mi> <mi>u</mi> </mfenced> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> Titanium dioxide <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2024_5329_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left({\text{TiO}}_{2}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <msub> <mtext>TiO</mtext> <mn>2</mn> </msub> </mfenced> </math></EquationSource> </InlineEquation> and Cobalt ferrite <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2024_5329_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="77" /> </InlineMediaObject> <EquationSource Format="TEX">\((CoF{e}_{2}{o}_{4})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>C</mi> <mi>o</mi> <mi>F</mi> <msub> <mi>e</mi> <mn>2</mn> </msub> <msub> <mi>o</mi> <mn>4</mn> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> nanoparticles, ethylene glycol as the base fluid is used. This phenomenon is used in a variety of industries, such as aerospace, where thermal management in spacecraft and aircraft components depends on exact control over heat dissipation. Furthermore, by comprehending these impacts, chemical industry professionals can optimize reactors and heat exchangers, assuring effective energy use and high-quality products. Mass, momentum, energy and concentration conservation principles make up the governing nonlinear partial differential equations. The MATLAB solver bvp4c package solves the system of ODEs ordinary differential equations derived from the leading partial differential equations in order to arrive at the numerical solution by applying the appropriate similarity variables. An upsurge in the Stefan blowing parameter raises the skin friction, velocity profile of the Ellis tetra hybrid nanofluid and trihybrid nanofluid while lowering the thermal, solutal profiles, rate of mass and heat transmission of Ellis tetra hybrid nanofluid and trihybrid nanofluid.</p> Graphical abstract <p></p>

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Significance of activation energy and Stefan blowing on Marangoni convective flow of Ellis tetra hybrid nanofluid with Soret and Dufour effects

  • Munawar Abbas,
  • Bandar Bin Mohsin,
  • Liaqat Ali,
  • Ibrahim Mahariq

摘要

The present work examined the characteristics of activation energy and Stefan blowing on Marangoni convective flow of Ellis tetra hybrid nanofluid over a sheet with Soret and Dufour impacts. Mathematical modeling and analysis have been made in the existence of Dufour and Soret impacts applying the extended Yamada–Ota thermal conductivity model. A tetra hybrid nanofluid consisting of Aluminum oxide \(({\text{Al}}_{2}{O}_{3})\) ( Al 2 O 3 ) , Copper \(\left(Cu\right),\) C u , Titanium dioxide \(\left({\text{TiO}}_{2}\right)\) TiO 2 and Cobalt ferrite \((CoF{e}_{2}{o}_{4})\) ( C o F e 2 o 4 ) nanoparticles, ethylene glycol as the base fluid is used. This phenomenon is used in a variety of industries, such as aerospace, where thermal management in spacecraft and aircraft components depends on exact control over heat dissipation. Furthermore, by comprehending these impacts, chemical industry professionals can optimize reactors and heat exchangers, assuring effective energy use and high-quality products. Mass, momentum, energy and concentration conservation principles make up the governing nonlinear partial differential equations. The MATLAB solver bvp4c package solves the system of ODEs ordinary differential equations derived from the leading partial differential equations in order to arrive at the numerical solution by applying the appropriate similarity variables. An upsurge in the Stefan blowing parameter raises the skin friction, velocity profile of the Ellis tetra hybrid nanofluid and trihybrid nanofluid while lowering the thermal, solutal profiles, rate of mass and heat transmission of Ellis tetra hybrid nanofluid and trihybrid nanofluid.

Graphical abstract