Peristaltic pumping of Jeffrey fluid with variable viscosity in a tube under the effect of magnetic field
Abstract
In this paper, the peristaltic flow of a Jeffrey fluid with variable viscosity under the effect of magnetic field is investigated under the assumptions of long wavelength and low Reynolds number. The flow is examined in a wave frame of reference moving with velocity of the wave. The problem is formulated using perturbation expansion in terms of viscosity parameter . The governing equations are developed upto first-order in the viscosity parameter. The zero order system yields the classical Poiseuille flow when the Hartmann number tends to zero and tends to zero. We simplify a complicated group of products of Bessel functions by approximating the polynomial. The effects of Hartmann number , viscosity parameter and material parameter on the pumping characteristics and friction force are discussed in detail through the graphs.
Copyright © 2012 M. Sudhakar Reddy, M. V. Subba Reddy, B. Jayarami Reddy, S. Rama Krishna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. S. Reddy, M. V. S. Reddy, B. J. Reddy, S. R. Krishna, Peristaltic pumping of Jeffrey fluid with variable viscosity in a tube under the effect of magnetic field, J. Math. Comput. Sci. 2 (2012), 907–925.
BibTeX
@article{Reddy2012,
author = {Reddy, M. Sudhakar and Reddy, M. V. Subba and Reddy, B. Jayarami and Krishna, S. Rama},
title = {Peristaltic pumping of Jeffrey fluid with variable viscosity in a tube under the effect of magnetic field},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {907--925},
doi = {}
}