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Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects

Uddin, M. J. and Alginahi, Yasser M. and Bég, O Anwar and M. Nomani, Kabir (2016) Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects. Computers & Mathematics with Applications, 72 (10). pp. 2562-2581. ISSN 0898-1221

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Abstract

A mathematical model is developed to examine the effects of the Stefan blowing, second order velocity slip, thermal slip and microorganism species slip on nonlinear bioconvection boundary layer flow of a nanofluid over a horizontal plate embedded in a porous medium with the presence of passively controlled boundary condition. Scaling group transformations are used to find similarity equations of such nanobioconvection flows. The similarity equations are numerically solved with a Chebyshev collocation method. Validation of solutions is conducted with a Nakamura tri-diagonal finite difference algorithm. The effects of nanofluid characteristics and boundary properties such as the slips, Stefan blowing, Brownian motion and Grashof number on the dimensionless fluid velocity, temperature, nanoparticle volume fraction, motile microorganism, skin friction, the rate of heat transfer and the rate of motile microorganism transfer are investigated. This work is relevant to bio-inspired nanofluid-enhanced fuel cells and nano-materials fabrication processes.

Item Type: Article
Uncontrolled Keywords: Second order slip; Porous media; Stefan blowing; Chebyshev collocation method; Nakamura second order difference scheme; Gyrotactic micro-organisms
Subjects: Q Science > Q Science (General)
Faculty/Division: Faculty of Computer System And Software Engineering
Depositing User: Dr. Muhammad Nomani Kabir
Date Deposited: 27 Feb 2017 01:29
Last Modified: 25 Sep 2018 08:43
URI: http://umpir.ump.edu.my/id/eprint/16789
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