<p>This study performed a computational analysis of the outcome of Marangoni convection on the chemical reactive flow of a tetra hybrid nanofluid on the mass species and thermal energy transmission of nanoparticles containing gyrotactic microorganisms via a disc. In the water (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5526_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{H}}_{2}\text{O})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>H</mtext> <mn>2</mn> </msub> <mrow> <mtext>O</mtext> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>) base fluid, tetra nanoparticles (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5526_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="110" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{Al}}_{2}{\text{O}}_{3},\text{ Ag},\text{ Cu}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>Al</mtext> <mn>2</mn> </msub> <msub> <mtext>O</mtext> <mn>3</mn> </msub> <mo>,</mo> <mspace width="0.333333em" /> <mtext>Ag</mtext> <mo>,</mo> <mspace width="0.333333em" /> <mtext>Cu</mtext> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5526_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{TiO}}_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>TiO</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>) disperse to form the tetra hybrid nanofluid. Bacterial-powered micromixers, enzyme biosensors, chip-shaped microdevices like bio-microsystems, micro-volumes like microfluidic devices, and microbial fuel cells are just a variety of the systems that use gyrotactic microbes embedded in nanoparticles to boost their thermal efficiency. Through the optimization of fluid flow properties with nanoparticles, this technique can be applied to increase heat transfer in sophisticated cooling systems, such as those found in microelectronics and medical equipment. In biotechnology, designing more effective bioreactors, medication delivery methods, and environmental monitoring instruments is made easier by an understanding of how bacteria float in such intricate fluid settings. Furthermore, the research can aid in the creation of sophisticated magnetic separation methods for microbes, which are essential for the treatment of waste and water. Utilizing boundary layer theory, the governing equations were solved with a focus on the coupled system of partial differential equations incorporating boundary conditions. Ordinary differential equations are a highly nonlinear system that is generated by the transformation approach. An approximate solution is given and evaluated with the shooting method Bvp4c due to the extremely nonlinear structure of the converted equation system. For both the Xue and Yamada–Ota models, the distribution of gyrotactic microbes decreases as the Peclet number increases.</p> Graphical abstract <p></p>

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Thermal and solutal analysis of swimming of gyrotactic microorganisms in chemical reactive flow of tetra hybrid nanofluid using Xue and Yamada–Ota models

  • Bandar Bin Mohsin,
  • Munawar Abbas,
  • Nizomiddin Juraev,
  • Ansar Abbas,
  • Liaqat Ali,
  • Hafiz Muhammad Ghazi

摘要

This study performed a computational analysis of the outcome of Marangoni convection on the chemical reactive flow of a tetra hybrid nanofluid on the mass species and thermal energy transmission of nanoparticles containing gyrotactic microorganisms via a disc. In the water ( \({\text{H}}_{2}\text{O})\) H 2 O ) ) base fluid, tetra nanoparticles ( \({\text{Al}}_{2}{\text{O}}_{3},\text{ Ag},\text{ Cu}\) Al 2 O 3 , Ag , Cu and \({\text{TiO}}_{2}\) TiO 2 ) disperse to form the tetra hybrid nanofluid. Bacterial-powered micromixers, enzyme biosensors, chip-shaped microdevices like bio-microsystems, micro-volumes like microfluidic devices, and microbial fuel cells are just a variety of the systems that use gyrotactic microbes embedded in nanoparticles to boost their thermal efficiency. Through the optimization of fluid flow properties with nanoparticles, this technique can be applied to increase heat transfer in sophisticated cooling systems, such as those found in microelectronics and medical equipment. In biotechnology, designing more effective bioreactors, medication delivery methods, and environmental monitoring instruments is made easier by an understanding of how bacteria float in such intricate fluid settings. Furthermore, the research can aid in the creation of sophisticated magnetic separation methods for microbes, which are essential for the treatment of waste and water. Utilizing boundary layer theory, the governing equations were solved with a focus on the coupled system of partial differential equations incorporating boundary conditions. Ordinary differential equations are a highly nonlinear system that is generated by the transformation approach. An approximate solution is given and evaluated with the shooting method Bvp4c due to the extremely nonlinear structure of the converted equation system. For both the Xue and Yamada–Ota models, the distribution of gyrotactic microbes decreases as the Peclet number increases.

Graphical abstract