Indian Journal of Pure and Applied Physics

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Nanofluid Bioconvection in Porous Enclosure with Viscous Dissipation


Affiliations
1 Department of Mathematics, Geethanjali College of Engineering and Technology, Affiliated to JNTUH, Hyderabad 501 301, India
2 Department of Mathematics, Chaitanya Bharathi Institute of Technology, Affiliated to Osmania University, Hyderabad 500 075, India
3 Department of Mathematics, Osmania University 500 007, Hyderabad, India
4 Faculty of Military Science, Stellenbosch University, Private Bag X1 MATIELAND 7602 South Africa, India

In this paper, the bioconvective nanofluid flow in porous square enclosure containing oxytactic microorganism associated with viscous dissipation, is discussed. The bioconvection flow in porous medium is framed by Darcy-Boussinesq approximation. Galerkin finite elements method is employed to solve the governed equations. The computational numerical results are exhibited by the surface plots of stream function, temperature, concentration of oxygen and microorganisms, average Nusselt number, average Sherwood numbers of oxygen and microorganism concentrations. The effects of key parameters such as Peclet number (Pe), Rayleigh number of bioconvection (Rb), viscous dissipation (Ec), thermophoretic parameter (Nt), parameter of Brownian movement (Nb), Lewis number (Le) and Rayleigh number (Ra) are presented and analyzed.
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  • Nanofluid Bioconvection in Porous Enclosure with Viscous Dissipation

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Authors

Ramesh Alluguvelli
Department of Mathematics, Geethanjali College of Engineering and Technology, Affiliated to JNTUH, Hyderabad 501 301, India
Chandra Shekar Balla
Department of Mathematics, Chaitanya Bharathi Institute of Technology, Affiliated to Osmania University, Hyderabad 500 075, India
Kishan Naikoti
Department of Mathematics, Osmania University 500 007, Hyderabad, India
Oluwole Daniel Makinde
Faculty of Military Science, Stellenbosch University, Private Bag X1 MATIELAND 7602 South Africa, India

Abstract


In this paper, the bioconvective nanofluid flow in porous square enclosure containing oxytactic microorganism associated with viscous dissipation, is discussed. The bioconvection flow in porous medium is framed by Darcy-Boussinesq approximation. Galerkin finite elements method is employed to solve the governed equations. The computational numerical results are exhibited by the surface plots of stream function, temperature, concentration of oxygen and microorganisms, average Nusselt number, average Sherwood numbers of oxygen and microorganism concentrations. The effects of key parameters such as Peclet number (Pe), Rayleigh number of bioconvection (Rb), viscous dissipation (Ec), thermophoretic parameter (Nt), parameter of Brownian movement (Nb), Lewis number (Le) and Rayleigh number (Ra) are presented and analyzed.