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Influence of wall properties on the peristaltic flow of a nanofluid: Analytic and numerical solutions

M. Mustafa
Organization: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST)
S. Hina
Organization: Fatima Jinnah Women University
Department: Department of Mathematical Sciences
T. Hayat
Organization: Quaid-i-Azam University
Department: Department of Mathematics
A. Alsaedi
Journal / Anthology

International Journal of Heat and Mass Transfer
Year: 2012
Volume: 55
Page range: 4871-4877

This study is concerned with the peristaltic transport of nanofluid in a channel with complaint walls. Transport equations involve the combined effects of Brownian motion and thermophoretic diffusion of nanoparticles. Mathematical modeling is carried out by utilizing long wavelength and low Reynolds number assumptions. The coupled nonlinear boundary value problem (BVP) has been solved numerically by using shooting technique through software Mathematica. The analytic solutions are computed by a robust analytical tool namely the homotopy analysis method (HAM). Attention has been focused on the behaviors of Brownian motion parameter (Nb), thermophoresis parameter (Nt), Prandtl number (Pr) and Eckert number (Ec). The results indicate an appreciable increase in the temperature and nanoparticles concentration with the increase in the strength of Brownian motion effects. Further heat transfer coefficient is a decreasing function of Nb and Nt.

*Science > Physics > Fluid Mechanics

Nanofluid, Peristalsis, Complaint walls, Nonlinear problem