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ORIGINAL PAPER
Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine
1
Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, Florida 32816-1364, United States of America
2
Department of Mathematics, Sri Venkateswara University, Tirupati 517 502, India
3
Department of Mathematics, SreeVidyanikethan Engineering College, Tirupati 517 102, India
Online publication date: 2016-09-10
Publication date: 2016-08-01
International Journal of Applied Mechanics and Engineering 2016;21(3):713-736
KEYWORDS
ABSTRACT
In this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature field, the stream function, the axial velocity, and the pressure gradient are obtained. The effects of the various physical parameters such as the magnetic parameter M, the permeability parameter σ, the Brinkman number Br and the Weissenberg number We on the pumping phenomenon are analyzed through graphs and the results are discussed in detail. It is observed that the velocity and the pressure are decreased with increasing the magnetic parameter M whereas the effect of the parameter M on the temperature field is quite the opposite.
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