Thin film flow of magnetohydrodynamic (MHD) pseudo-plastic fluid on vertical wall

被引:11
|
作者
Alam, M. K. [1 ]
Siddiqui, A. M. [2 ]
Rahim, M. T. [1 ]
Islam, S. [3 ]
Avital, E. J. [4 ]
Williams, J. J. R. [4 ]
机构
[1] Natl Univ Comp & Emerging Sci, Peshawar 25000, Pakistan
[2] Penn State Univ, York, PA 17403 USA
[3] Abdul Wali Khan Univ, Dept Math, Mardan 3953, Pakistan
[4] Queen Mary Univ London, Sch Engn & Mat Sci, London, England
关键词
Lifting and drainage problems; Pseudo-plastic fluid model; MHD fluid; Nonlinear Marching technique; Adomian decomposition method; Adomian polynomial; ADOMIAN DECOMPOSITION METHOD; HOMOTOPY PERTURBATION METHOD; RELIABLE TREATMENT;
D O I
10.1016/j.amc.2014.07.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The effect of the transverse magnetic field on the thin film flow of pseudo-plastic fluid for lifting and drainage on a vertical (wall) surface is investigated. Approximate solutions are obtained analytically and numerically for the resulting non-linear and inhomogeneous ordinary differential equations arising from the constitutive equation of the pseudo-plastic fluid. Physical quantities such as the velocity profile, volume flux, average velocity, shear stress, vorticity and the force exerted by fluid on the belt surface respectively for lift and drainage are calculated. The condition for the net upward flow for lift case has also been investigated. The effect of different parameters such as the magnetic effect M-2, the non-Newtonian parameter beta, the Stokes number S-t on velocity profiles and shear stress are presented via graphs. The analysis for the analytical solution is carried out for small value of beta. The analogy of the velocity profiles of MHD pseudo-plastic and MHD Newtonian fluids reveals that the MHD pseudo-plastic fluid drains down the upward moving belt faster than the MHD Newtonian fluid whereas in drainage, the behavior of the velocity profiles is vice versa. In other words, the applied magnetic field generally reduces the flow velocity in the lifting case, while, in the drainage case, the magnetic field and the velocity field are shown to have a direct relation. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:544 / 556
页数:13
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