Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian Decomposition Method
Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian Decomposition Method
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DOI：
10.1016/j.amc.2012.03.095
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发表时间：
2012-07-01
影响因子：
4
通讯作者：
Siddiqui, A. M.
中科院分区：
文献类型：
--
作者：
Alam, M. Kamran;Rahim, M. T.;Siddiqui, A. M.
本文研究了非牛顿Johnson-Segalman流体在垂直带上的定常薄膜流动的举升和排水问题。利用Adomian分解法（ADM）和同伦摄动法（HPM）得到了非线性问题的解析解。导出了速度分布、平均速度、体积流量、提升带速度和输送带处剪切应力的表达式。对于Weissenberg数W-e = 0，我们检索牛顿的情况下，这两个问题。对于麦克斯韦流体，当滑移参数a = 1时，我们也得到了相应的结果.文中描述了Stokes数S-t、Weissenberg数W-e、粘度比φ和滑移参数a对提升和排水问题速度剖面结构的影响。比较了ADM解与同伦摄动法（HPM）解的异同。(C)2012 Elsevier Inc. All rights reserved.
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.