期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 218, 期 21, 页码 10413-10428出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.03.095
关键词
Lifting and drainage problems; Johnson-Segalman fluid; Adomian Decomposition Method; Homotopy Perturbation Method
资金
- Higher Education Commission of Pakistan
The steady thin film flow on a vertical belt of a non-Newtonian Johnson-Segalman fluid for lifting and drainage problems are investigated in this paper. The analytical solutions of the non-linear problems are obtained by Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). Expressions for the velocity profile, average velocity, volume flux, the belt speed of the lifting and the shear stress at the belt have been derived. For Weissenberg number W-e = 0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a = 1. The manner in which the Stokes number S-t, Weissenberg number W-e, the ratio of viscosities phi and the slip parameter a affect the structure of the velocity profile for lifting and drainage problems are delineated. Comparison between the ADM solutions and Homotopy Perturbation Method (HPM) solutions are made. (C) 2012 Elsevier Inc. All rights reserved.
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