Nonlinear multiphysical laminar nanofluid bioconvection flows : models and computation

Beg, OA

Abstract

Bioconvection has been familiar to biological science for over a century. This phenomenon occurs due to average upwardly swimming micro-organisms which are a little denser than water in suspensions. The upper surface of the suspensions is destabilized when it is too dense due to the aggregation of micro-organisms, leading to a tumbling of micro-organisms and the generation of bio-convection currents. In recent years extensive mathematical studies have been reported on bioconvection phenomena in particular exploring their combination with nanofluids. These have addressed fully developed bioconvection, bioconvective instability and bioconvection boundary layer flows, among other areas. In this chapter we focus on fully developed or boundary layer flows which are of primary interest to engineers interested in exploring the potential of bioconvection in fuel cell technology, bio-reactors and other applications. Only laminar flows are considered. Boundary layer theory is the foundation of modern engineering fluid mechanics. Many multi-physical models have been presented in the past decade for engineering nanofluid bioconvection flows. These include bio-convection flows in porous media, magnetohydrodynamic bioconvection, non-Newtonian and micro-structural rheological bioconvection boundary layer flows, slip bioconvection boundary layers, nanofluid bioconvection boundary layers, biconvection boundary layer flows from extending/contracting boundaries (“Sakiadis” flows) and stagnation boundary layers. We consider rotating (swirling) nanofluid bioconvection flow in detail. We also address a variety of numerical methods employed for solving nonlinear boundary value problems of nano-bioconvection including finite element, Adomian decomposition method (ADM), Gauss-Lobatto quadrature, Keller box finite difference and other methods. Furthermore, new areas yet to be explored are identified including electro-osmotic and enclosure nanofluid bioconvection flows. An extensive bibliography of published works is included.

Citation

Beg, O. (2018). Nonlinear multiphysical laminar nanofluid bioconvection flows : models and computation. In A. Sohail, & Z. Li (Eds.), Computational Approaches in Biomedical Nano-Engineering (113-145). Germany: Wiley. https://doi.org/10.1002/9783527344758.ch5

• Acceptance Date: Feb 27, 2018
• Online Publication Date: Sep 14, 2018
• Publication Date: Nov 19, 2018
• Deposit Date: Feb 28, 2018
• Publisher: Wiley
• Pages: 113-145
• Book Title: Computational Approaches in Biomedical Nano-Engineering
• ISBN: 9783527344710
• DOI: https://doi.org/10.1002/9783527344758.ch5
• Publisher URL: https://doi.org/10.1002/9783527344758.ch5
• Related Public URLs: https://onlinelibrary.wiley.com/doi/book/10.1002/9783527344758