Communications in Numerical Analysis

Volume 2016, No. 2 (2016), Pages 180-192

Article ID cna-00274, 13 Pages

doi: 10.5899/2016/cna-00274


Research Article


Hydromagnetic flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel with stretching walls


K. Vajravelu1,2 *, G. Gregory2, Ronald Li1, M. Dewasurendra1, K.V. Prasad3


1Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA

2Department of Mechanical and Aerospace Engineering, University of Central Florida, Orlando, FL 32816, USA

3Department of Mathematics, VSK University, Vinayaka Nagar, Bellary-583 104, Karnataka, India


* Corresponding author. Email address: Kuppalapalle.vajravelu@ucf.edu


Received: 15 April 2016; Accepted: 13 June 2016


Copyright © 2016 K. Vajravelu, G. Gregory, Ronald Li, M. Dewasurendra and K.V. Prasad. 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.

Abstract

A study of an upper-convected Maxwell (UCM) fluid flow and heat transfer in a parallel plate channel with stretching walls in the presence of an applied magnetic field is carried out. The governing non-linear coupled equations with appropriate boundary conditions are initially cast into dimensionless form by similarity transformations. Then the resulting non-dimensional equations are solved analytically by Optimal Homotopy Analysis Method (HAM). The effects of the pertinent parameters on the velocity and temperature fields are analyzed graphically. The analysis reveals that the effect of the magnetic field is to decrease the velocity normal to the wall, but the opposite effect is observed for the temperature field. The present study is relevant to the haemodynamic flow of blood in the cardiovascular system in the presence of uniform magnetic field.


Keywords: Hydromagnetic flow; haemodynamic flow; heat transfer; Maxwell fluid; stretching sheet; skin friction; Nusselt number.


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