Analysis of Buongiorno’s nanofluid model in marangoni convective flow with gyrotactic microorganism and activation energy

M. Ijaz Khan, Yu-Ming Chu, Faris Alzahrani and Aatef Hobiny
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M. Ijaz Khan: Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad 44000, Pakistan
Yu-Ming Chu: #x2020;Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China‡Hunan Provincial Key Laboratory of Mathematical, Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China
Faris Alzahrani: #xA7;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589 Saudi Arabia
Aatef Hobiny: #xA7;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589 Saudi Arabia

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 06, 1-17

Abstract: This communication is to analyze the Marangoni convection MHD flow of nanofluid. Marangoni convection is very useful physical phenomena in presence of microgravity conditions which is generated by gradient of surface tension at interface. We have also studied the swimming of migratory gyrotactic microorganisms in nanofluid. Flow is due to rotation of disk. Heat and mass transfer equations are examined in detail in the presence of heat source sink and Joule heating. Nonlinear mixed convection effect is inserted in momentum equation. Appropriate transformations are applied to find system of equation. HAM technique is used for convergence of equations. Radial and axial velocities, concentration, temperature, motile microorganism profile, Nusselt number and Sherwood number are sketched against important parameters. Marangoni ratio parameter and Marangoni number are increasing functions of axial and radial velocities. Temperature rises for Marangoni number and heat source sink parameter. Activation energy and chemical reaction rate parameter have opposite impact on concentration profile. Motile density profile decays via Peclet number and Schmidt number. Magnitude of Nusselt number enhances via Marangoni ratio parameter.

Keywords: Rotating disk; Marangoni convection; nanofluid; gyrotactic microorganism; heat source sink; activation energy; MHD; Joule heating; nonlinear mixed convection (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121500728

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