Title: Entropy generation analysis for metachronal beating of ciliated Cu-water nanofluid with magnetic field

Authors: Noreen Sher Akbar; Adil Wahid Butt

Addresses: DBS&H, CEME, National University of Sciences and Technology, Islamabad 44000, Pakistan ' DBS&H, CEME, National University of Sciences and Technology, Islamabad 44000, Pakistan

Abstract: In this paper, we have discussed the entropy generation on the ciliary motion of the peristaltic transport of fluids in human body. On the basis of the mathematical model of the copper nanofluids with pure water as the base fluid, the complete problem is analysed under the presence of heat transfer. It is considered that a group of cilia operate together and produce metachronal waves to transport the fluid. The governing flow equations are non-linear partial differential equations, which are reduced to ordinary differential equation form using the dimensionless variables. The investigation is carried out under the assumptions of low Reynold's number and long wavelength. Exact solutions of the fluid velocity, pressure gradient and temperature profile have been obtained. The obtained expressions are then described through graphs for various relevant parameters. Trapping phenomenon for nanoparticle volume fraction is presented at the end of the paper.

Keywords: peristalsis; magnetic field; nanoparticles; tube flow; heat transfer; Cu water; metachronal waves; cilia; nanotechnology; entropy generation; metachronal beating; ciliary motion; mathematical modelling; copper nanofluids; fluid transport; nonlinear PDEs; partial differential equations; ordinary differential equations; ODEs; Reynold's number; long wavelength; fluid velocity; pressure gradient; temperature profile; nanoparticle volume fraction.

DOI: 10.1504/IJEX.2016.074266

International Journal of Exergy, 2016 Vol.19 No.1, pp.41 - 54

Received: 09 Dec 2014
Accepted: 02 Feb 2015
Published online: 20 Jan 2016 *

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