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Effects of Homogeneous–Heterogeneous Reactions on the Viscoelastic Fluid Toward a Stretching Sheet

[+] Author and Article Information
W. A. Khan

Department of Engineering Sciences, PN Engineering College,  National University of Sciences and Technology, Karachi 75350, Pakistanwkhan_2000@yahoo.com

I. M. Pop

Faculty of Mathematics,  University of Cluj, R-3400 Cluj, CP 253, Romania

J. Heat Transfer 134(6), 064506 (May 02, 2012) (5 pages) doi:10.1115/1.4006016 History: Received April 13, 2011; Revised November 01, 2011; Published April 30, 2012; Online May 02, 2012

The effects of homogeneous–heterogeneous reactions on the steady viscoelastic fluid toward a stretching sheet are numerically investigated in this paper. The model developed by Chaudhary and Merkin for homogeneous–heterogeneous reactions in stagnation-point boundary-layer flow with equal diffusivities for reactant and autocatalyst is used for present stretching sheet problem in a viscoelastic fluid. The basic boundary layer partial differential equations of motion and concentration are reduced to ordinary differential (similarity) equations, which then are numerically solved using an implicit finite difference method in the case when the diffusion coefficients of both reactant and autocatalyst are equal. It is found that the concentration at the surface decreases with an increase in the viscoelastic parameter and strengths of the homogeneous, while heterogeneous reactions increase.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Physical configuration and coordinate system

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Figure 2

Comparison of analytical and numerical results for dimensionless velocity

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Figure 3

Effect of viscoelastic parameter λ on dimensionless velocity

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Figure 4

Effects of the viscoelastic parameter λ on dimensionless concentration for different values of Ks

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Figure 5

Variation of dimensionless concentration with K for different values of Ks and λ

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Figure 6

Variation of dimensionless concentration with K for different values of Sc and λ

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