Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 149, Issue 1, Pages 165-173Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S0096-3003(02)00963-3
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In this short work we look at the flow of a second grade fluid due to a stretching sheet coinciding with the plane y = 0. Two equal and opposite forces are applied along the x-axis (horizontal plane) in such a way that the origin remains fixed and the velocity of stretching is proportional to the distance from the origin.. This problem was studied by Rajagopal et al. [Rheol. Acta 23 (1984) 213; Meccanica 19 (1984) 158] where a perturbation scheme was used to obtain the solution. Using the same similarity transformation given by Rajagopal et al., we solve the full equation numerically, using the method of quasi-linearization of Bellman and Kalaba [Quasilinearization and Non-Linear Boundary Value Problems, American Elsevier, New York, 1965]. Results will be given for the velocity distribution and the shear stress at the wall. (C) 2003 Elsevier Inc. All rights reserved.
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