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Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension

Published online by Cambridge University Press:  28 May 2015

K. Vajravelu ,
K. V. Prasad  and
S. R. Santhi
K. Vajravelu*
Affiliation:
Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, FL 32816, USA
K. V. Prasad
Affiliation:
Department of Mathematics, VSK University, Vinayaka Nagar, Bellary-583104, Karnataka, India
S. R. Santhi
Affiliation:
Department of Mathematics, Bangalore University, Bangalore-560001, Karnataka, India
*
*Corresponding author. Email: kuppalapalle.vajravelu@ucf.edu (K. Vajravelu)
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Abstract

An analysis is carried out to study the magnetohydrodynamic (MHD) flow and heat transfer characteristics of an electrically conducting dusty non-Newtonian fluid, namely, the upper convected Maxwell (UCM) fluid over a stretching sheet. The stretching velocity and the temperature at the surface are assumed to vary linearly with the distance from the origin. Using a similarity transformation, the governing nonlinear partial differential equations of the model problem are transformed into coupled non-linear ordinary differential equations and the equations are solved numerically by a second order finite difference implicit method known as the Keller-box method. Comparisons with the available results in the literature are presented as a special case. The effects of the physical parameters on the fluid velocity, the velocity of the dust particle, the density of the dust particle, the fluid temperature, the dust-phase temperature, the skin friction, and the wall-temperature gradient are presented through tables and graphs. It is observed that, Maxwell fluid reduces the wall-shear stress. Also, the fluid particle interaction reduces the fluid temperature in the boundary layer. Furthermore, the results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the dusty UCM fluid flow phenomena.

Keywords

76W0576T2080A10Heat transferhydromagnetic flowUCM fluiddusty fluidfluid particle interaction
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 3 , June 2015 , pp. 369 - 386
Copyright
Copyright © Global-Science Press 2015 

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