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2014 Flow of a Burger’s Fluid in a Channel Induced by Peristaltic Compliant Walls
I. Ahmad, N. Ali, A. Abbasi, W. Aziz, M. Hussain, M. Ahmad, M. Taj, Q. Zaman
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/236483

Abstract

A theoretical analysis is presented for the peristaltic motion of a magneto-hydrodynamic (MHD) non-Newtonian fluid in channel with complaint walls. The fluid obeys viscoelastic non-Newtonian model with Burger’s constitutive equation. The relevant equations are first developed and then solved using perturbation technique. Expressions of stream function and velocity components are constructed under the assumption that δ (characteristic ratio of transversal and axial scales of peristaltic motion) is small. The results indicate the strong effects of Burger’s fluid parameter, Hartman number, Reynolds number, and complaint wall parameters on the velocity field and stream function. The obtained solutions are shown graphically for the different values of involved parameters.

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I. Ahmad. N. Ali. A. Abbasi. W. Aziz. M. Hussain. M. Ahmad. M. Taj. Q. Zaman. "Flow of a Burger’s Fluid in a Channel Induced by Peristaltic Compliant Walls." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/236483

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131425
MathSciNet: MR3275765
Digital Object Identifier: 10.1155/2014/236483

Rights: Copyright © 2014 Hindawi

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