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ORIGINAL PAPER
Heat Transfer of Viscoelastic Fluid Flow due to Nonlinear Stretching Sheet with Internal Heat Source
1
Department of PG and UG Studies in Mathematics Government College Gulbarga-585105, Karnataka, INDIA
2
Department of Mathematics Gulbarga University Gulbarga, Karnataka, INDIA
3
Department of Mathematics Singhania University Pachauri Bari-333515, Rajasthan, INDIA
Online publication date: 2013-09-06
Publication date: 2013-08-01
International Journal of Applied Mechanics and Engineering 2013;18(3):739-760
KEYWORDS
viscoelastic fluidboundary layer flowexponential stretching sheetheat source/sinkheat transfer and skin friction
ABSTRACT
In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially stretching continuous sheet in the presence of a heat source/sink has been examined. Loss of energy due to viscous dissipation of the non-Newtonian fluid has been taken into account in this study. Approximate analytical local similar solutions of the highly non-linear momentum equation are obtained for velocity distribution by transforming the equation into Riccati-type and then solving this sequentially. Accuracy of the zero-order analytical solutions for the stream function and velocity are verified by numerical solutions obtained by employing the Runge-Kutta fourth order method involving shooting. Similarity solutions of the temperature equation for non-isothermal boundary conditions are obtained in the form of confluent hypergeometric functions. The effect of various physical parameters on the local skin-friction coefficient and heat transfer characteristics are discussed in detail. It is seen that the rate of heat transfer from the stretching sheet to the fluid can be controlled by suitably choosing the values of the Prandtl number Pr and local Eckert number E, local viscioelastic parameter k*1 and local heat source/ sink parameter β*
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