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

Uddin, MJ; Alginahi, Y; Beg, OA; Kabir, MN

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.

Citation

Uddin, M., Alginahi, Y., Beg, O., & Kabir, M. (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), 2562-2581. https://doi.org/10.1016/j.camwa.2016.09.018

• Journal Article Type: Article
• Acceptance Date: Sep 12, 2016
• Online Publication Date: Oct 5, 2016
• Publication Date: Nov 1, 2016
• Deposit Date: Sep 21, 2016
• Publicly Available Date: Oct 5, 2017
• Journal: Computers and Mathematics with Applications
• Print ISSN: 0898-1221
• Publisher: Elsevier
• Volume: 72
• Issue: 10
• Pages: 2562-2581
• DOI: https://doi.org/10.1016/j.camwa.2016.09.018
• Publisher URL: http://dx.doi.org/10.1016/j.camwa.2016.09.018
• Related Public URLs: http://www.journals.elsevier.com/computers-and-mathematics-with-applications/