Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and Gyrotactic Microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method — Oak Academic Publishing
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Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and Gyrotactic Microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method
Department of Mathematical Sciences, Federal University of Technology Akure, Akure, Nigeria
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Department of Mathematical Sciences, Federal University of Technology Akure, Akure, Nigeria
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Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria
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Department of Physical Sciences, Precious Cornerstone University, Ibadan, Nigeria
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Department of Physical Sciences, Precious Cornerstone University, Ibadan, Nigeria
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Department of Pure and Applied Physics, Ladoke Akintola University of Technology, Ogbomosho, Nigeria
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Department of Mathematical Sciences, Federal University Gusau, Gusau, Nigeria
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Department of Mathematics, Federal University Birnin Kebbi, Kalgo, Nigeria
1 Department of Mathematical Sciences, Federal University of Technology Akure, Akure, Nigeria
2 Department of Mathematical Sciences, Federal University of Technology Akure, Akure, Nigeria
3 Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria
4 Department of Physical Sciences, Precious Cornerstone University, Ibadan, Nigeria
5 Department of Physical Sciences, Precious Cornerstone University, Ibadan, Nigeria
6 Department of Pure and Applied Physics, Ladoke Akintola University of Technology, Ogbomosho, Nigeria
7 Department of Mathematical Sciences, Federal University Gusau, Gusau, Nigeria
8 Department of Mathematics, Federal University Birnin Kebbi, Kalgo, Nigeria
The mathematical model of bioconvection flow of micropolar fluid through a vertical surface containing nanoparticles and gyrotactic microorganisms is presented in this study. In the study, weak and strong concentrations of microstructures are explored. In the energy and concentration equations, the Catteneo-Christov diffusion models are used to explain temperature and con centration diffusions with thermal and solutal relaxation durations, respec tively. The governing equations describing the fluid flow are transformed and parameterized through similarity variables. The approximate analytical solution is obtained by using Homotopy Analysis Method (HAM). The impacts of relevant parameters on the various distributions are investigated and illustrated. It is discovered that increasing the value of the micropolar parameter results in an increase in the microrotation distribution for strong concentrations of microstructures while decreasing the microrotation distribution for weak concentrations of microstructures.
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