Mathematical model for ciliary-induced transport in MHD flow of Cu-H2O nanoßuids with magnetic induction

Akbar, NS, Tripathi, D, Khan, ZH and Beg, OA 2017, 'Mathematical model for ciliary-induced transport in MHD flow of Cu-H2O nanoßuids with magnetic induction' , Chinese Journal of Physics, 55 (3) , pp. 947-962.

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Abstract

Motivated by novel developments in surface-modified, nanoscale, magnetohydrodynamic (MHD) biomedical devices, we study theoretically the ciliary induced transport by metachronal wave propagation in hydromagnetic flow of copper-water nanofluids through a parallel plate channel. Under the physiological constraints, creeping flow is taken into consideration i.e. inertial forces are small compared with viscous forces. The metachronal wavelength is also considered as very large for cilia induced MHD flow. Magnetic Reynolds number is sufficiently large to invoke magnetic induction effects. The physical problem is linearized and exact solutions are developed for the resulting boundary value problem. Closed-form expressions are presented for the stream function, pressure rise, induced magnetic field function and temperature. Mathematica symbolic software is used to compute and illustrate numerical results. The influence of physical parameters on velocity profile, pressure gradient and trapping of bolus are discussed with the aid of graphs. The present computations are applicable to simulations of flow control of in nano-magneto-biomimetic technologies.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Chinese Journal of Physics
Publisher: The Physical Society of the Republic of China
ISSN: 0577-9073
Related URLs:
Depositing User: OA Beg
Date Deposited: 28 Mar 2017 12:21
Last Modified: 09 Aug 2017 18:40
URI: http://usir.salford.ac.uk/id/eprint/42037

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