Exploration of Multiple Transfer Phenomena within Viscous Fluid Flows over a Curved Stretching Sheet in the Co-Existence of Gyrotactic Micro-Organisms and Tiny Particles

Pachiyappan Ragupathi, N. Ameer Ahammad, Abderrahim Wakif, Nehad Ali Shah and Yongseok Jeon ()
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Pachiyappan Ragupathi: Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
N. Ameer Ahammad: Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Abderrahim Wakif: Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University of Casablanca, Casablanca 20000, Morocco
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Yongseok Jeon: Interdisciplinary Major of Maritime AI Convergence, Department of Mechanical Engineering, Korea Maritime & Ocean University, Busan 49112, Korea

Mathematics, 2022, vol. 10, issue 21, 1-18

Abstract: In the present study, the magnetohydrodynamics (MHD) bio-convective flow and heat transfer of nanofluid, due to the swimming of the gyrotactic micro-organisms over a curved stretched sheet, is examined. In addition, thermophoresis and Brownian motion behaviors are also investigated by assuming slip conditions at the boundary. A non-linear system of partial differential equations (PDEs) is reduced to a system of ordinary differential equations (ODEs). For convergent solutions, the obtained ODE system is solved by the use of the BVP4C routine integrated MATLAB package. In addition, the impacts of different influential parameters on motile micro-organisms, temperature, velocity, and concentration profiles are deliberated. The velocity field is observed to be reduced when the slip parameter increases. As the main results, it is demonstrated that the distribution of motile microorganisms against the curvature parameter decreases significantly. Similarly, it is found that the nanofluid parameters (i.e., Brownian motion and thermophoresis parameters) and the Peclet number reduce the motile micro-organisms’ number. On the other hand, it is evidenced that the motile micro-organisms’ distribution can be improved with an increase in bio-convective Schmidt number.

Keywords: bio-convection; gyrotactic micro-organisms; curved stretching sheet; slip condition; thermophoresis; Brownian diffusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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