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Physical hydrodynamic propulsion model study for creeping viscous flow through a ciliated porous tube

Akbar, NS, Butt, AW, Tripathi, D and Beg, OA 2016, 'Physical hydrodynamic propulsion model study for creeping viscous flow through a ciliated porous tube' , Pramana . (In Press)

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Abstract

The present investigation focuses on a mathematical study of creeping viscous flow induced by metachronal wave propagation in a horizontal ciliated tube containing porous media. Creeping flow limitations are imposed i.e. inertial forces are small compared with viscous forces and therefore very low Reynolds number (Re<<1) is taken into account. The wavelength of metachronal wave is also considered as very large for cilia movement. The physical problem is linearized and exact solutions are developed for the differential equation problem. Mathematica software is used to compute and illustrate numerical results. The influence of slip parameter and Darcy number on velocity profile, pressure gradient and trapping of bolus are discussed with the aid of graphs. It is found that with increasing magnitude of slip parameter the trapped bolus inside the streamlines increases in size. The study is relevant to biological propulsion of medical micro-machines in drug delivery.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Pramana
Publisher: Indian Academy of Sciences / Springer
ISSN: 0304-4289
Funders: Non funded research
Depositing User: OA Beg
Date Deposited: 17 Oct 2016 09:00
Last Modified: 17 Oct 2016 09:00
URI: http://usir.salford.ac.uk/id/eprint/40349

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