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Numerical solutions for nonlinear gyrotactic bioconvection in nanofluid-saturated porous media with stefan blowing and multiple slip effects

Uddin, MJ, Alginahi, Y, Beg, OA and Kabir, MN 2016, 'Numerical solutions for nonlinear gyrotactic bioconvection in nanofluid-saturated porous media with stefan blowing and multiple slip effects' , Computers and Mathematics with Applications, 72 (10) , pp. 2562-2581.

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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. The work is relevant to bio-inspired nanofluid-enhanced fuel cells and nano-materials fabrication processes.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Computers and Mathematics with Applications
Publisher: Elsevier
ISSN: 0898-1221
Related URLs:
Funders: Non funded research
Depositing User: OA Beg
Date Deposited: 21 Sep 2016 08:40
Last Modified: 11 Nov 2016 09:40
URI: http://usir.salford.ac.uk/id/eprint/40118

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