<p>The present study investigates the impacts of heat generation and Marangoni convection on the thermophoretic particle deposition in chemical reactive flow of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14172_Article_IEq1.gif" Format="GIF" Height="24" Rendition="HTML" Resolution="72" Type="Linedraw" Width="220" /> </InlineMediaObject> <EquationSource Format="TEX">\({\raise0.7ex\hbox{${{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} }$} \!\mathord{\left/ {\vphantom {{{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} } {{\text{Water}}}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${{\text{Water}}}$}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mpadded voffset="+0.7ex"> <mrow> <mrow> <mtext>Diamond -</mtext> <mspace width="0.333333em" /> </mrow> <mi>S</mi> <mi>i</mi> <mi>C</mi> <msub> <mrow> <mspace width="0.333333em" /> <mtext>- Co</mtext> </mrow> <mn>3</mn> </msub> <msub> <mtext>O</mtext> <mn>4</mn> </msub> </mrow> </mpadded> <mspace width="-0.166667em" /> <mrow> <mfenced open="/"> <mphantom> <mpadded width="0pt"> <mrow> <mrow> <mtext>Diamond -</mtext> <mspace width="0.333333em" /> </mrow> <mi>S</mi> <mi>i</mi> <mi>C</mi> <msub> <mrow> <mspace width="0.333333em" /> <mtext>- Co</mtext> </mrow> <mn>3</mn> </msub> <msub> <mtext>O</mtext> <mn>4</mn> </msub> </mrow> <mtext>Water</mtext> </mpadded> </mphantom> </mfenced> </mrow> <mspace width="-0.166667em" /> <mpadded voffset="-0.7ex"> <mtext>Water</mtext> </mpadded> </mrow> </math></EquationSource> </InlineEquation>-based trihybrid nanofluid across a sheet with oxytactic and gyrotactic microorganisms. Gradients of surface tension are varied to find Marangoni convection. It can be used in a variety of industries, including welding, crystal formation, soap film stabilization, and drying&#xa0;silicon wafer. The trihybrid nanofluid <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14172_Article_IEq2.gif" Format="GIF" Height="33" Rendition="HTML" Resolution="72" Type="Linedraw" Width="230" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left( {{\raise0.7ex\hbox{${{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} }$} \!\mathord{\left/ {\vphantom {{{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} } {{\text{H}}_{2} O}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${{\text{H}}_{2} O}$}}} \right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <mpadded voffset="+0.7ex"> <mrow> <mrow> <mtext>Diamond -</mtext> <mspace width="0.333333em" /> </mrow> <mi>S</mi> <mi>i</mi> <mi>C</mi> <msub> <mrow> <mspace width="0.333333em" /> <mtext>- Co</mtext> </mrow> <mn>3</mn> </msub> <msub> <mtext>O</mtext> <mn>4</mn> </msub> </mrow> </mpadded> <mspace width="-0.166667em" /> <mrow> <mfenced open="/"> <mphantom> <mpadded width="0pt"> <mrow> <mrow> <mtext>Diamond -</mtext> <mspace width="0.333333em" /> </mrow> <mi>S</mi> <mi>i</mi> <mi>C</mi> <msub> <mrow> <mspace width="0.333333em" /> <mtext>- Co</mtext> </mrow> <mn>3</mn> </msub> <msub> <mtext>O</mtext> <mn>4</mn> </msub> </mrow> <mrow> <msub> <mtext>H</mtext> <mn>2</mn> </msub> <mi>O</mi> </mrow> </mpadded> </mphantom> </mfenced> </mrow> <mspace width="-0.166667em" /> <mpadded voffset="-0.7ex"> <mrow> <msub> <mtext>H</mtext> <mn>2</mn> </msub> <mi>O</mi> </mrow> </mpadded> </mrow> </mfenced> </math></EquationSource> </InlineEquation> flow model is made up of nanoparticles of diamond <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14172_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left( {ND} \right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <mi mathvariant="italic">ND</mi> </mrow> </mfenced> </math></EquationSource> </InlineEquation>, and cobalt oxide <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14172_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left( {{\text{Co}}_{3} {\text{O}}_{4} } \right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <msub> <mtext>Co</mtext> <mn>3</mn> </msub> <msub> <mtext>O</mtext> <mn>4</mn> </msub> </mrow> </mfenced> </math></EquationSource> </InlineEquation>, silicon carbide <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14172_Article_IEq5.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left( {SiC} \right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <mi mathvariant="italic">SiC</mi> </mrow> </mfenced> </math></EquationSource> </InlineEquation> dissolved in water <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14172_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left( {{\text{H}}_{2} O} \right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <msub> <mtext>H</mtext> <mn>2</mn> </msub> <mi>O</mi> </mrow> </mfenced> </math></EquationSource> </InlineEquation>. This model has applications in advanced bioengineering and environmental processes, including biofuel generation, wastewater treatment, and medication delivery system improvement. Microorganisms improve mass and heat transfer, which is advantageous for biomedical applications and microfluidic systems. Furthermore, industrial processes needing effective heat transfer, such cooling systems in biotechnology labs and reactors, can be optimized by the trihybrid nanofluid’s enhanced thermal characteristics. The constitutive equations were converted into ODEs using similarity variables, and then they were resolved applying MATLAB’s bvp4c function. The outcomes demonstrate that the modified model more exactly indicates higher heat transfer rates than the classical model. Concentration&#xa0;and oxytactic microorganism distributions decrease with increasing thermophoretic parameter.</p> Graphical abstract <p></p>

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Thermophoretic particle deposition in thermo-bioconvection flow of diamond-SiC-Co₃O₄/water-based trihybrid nanofluid with oxytactic and gyrotactic microorganisms: biotechnological applications

  • Ibrahim Mahariq,
  • Riadh Marzouki,
  • Hawzhen Fateh M. Ameen,
  • Munawar Abbas,
  • Barno Abdullaeva,
  • Maawiya Ould Sidi,
  • Abdullah A. Faqihi,
  • Ali Akgül,
  • Ahmed M. Galal

摘要

The present study investigates the impacts of heat generation and Marangoni convection on the thermophoretic particle deposition in chemical reactive flow of \({\raise0.7ex\hbox{${{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} }$} \!\mathord{\left/ {\vphantom {{{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} } {{\text{Water}}}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${{\text{Water}}}$}}\) Diamond - S i C - Co 3 O 4 Diamond - S i C - Co 3 O 4 Water Water -based trihybrid nanofluid across a sheet with oxytactic and gyrotactic microorganisms. Gradients of surface tension are varied to find Marangoni convection. It can be used in a variety of industries, including welding, crystal formation, soap film stabilization, and drying silicon wafer. The trihybrid nanofluid \(\left( {{\raise0.7ex\hbox{${{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} }$} \!\mathord{\left/ {\vphantom {{{\text{Diamond - }}SiC{\text{ - Co}}_{3} {\text{O}}_{4} } {{\text{H}}_{2} O}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${{\text{H}}_{2} O}$}}} \right)\) Diamond - S i C - Co 3 O 4 Diamond - S i C - Co 3 O 4 H 2 O H 2 O flow model is made up of nanoparticles of diamond \(\left( {ND} \right)\) ND , and cobalt oxide \(\left( {{\text{Co}}_{3} {\text{O}}_{4} } \right)\) Co 3 O 4 , silicon carbide \(\left( {SiC} \right)\) SiC dissolved in water \(\left( {{\text{H}}_{2} O} \right)\) H 2 O . This model has applications in advanced bioengineering and environmental processes, including biofuel generation, wastewater treatment, and medication delivery system improvement. Microorganisms improve mass and heat transfer, which is advantageous for biomedical applications and microfluidic systems. Furthermore, industrial processes needing effective heat transfer, such cooling systems in biotechnology labs and reactors, can be optimized by the trihybrid nanofluid’s enhanced thermal characteristics. The constitutive equations were converted into ODEs using similarity variables, and then they were resolved applying MATLAB’s bvp4c function. The outcomes demonstrate that the modified model more exactly indicates higher heat transfer rates than the classical model. Concentration and oxytactic microorganism distributions decrease with increasing thermophoretic parameter.

Graphical abstract