Existence of a Hartmann layer in the peristalsis of Sisko fluid

被引:9
作者
Asghar, Saleem [1 ,2 ]
Minhas, Tayyaba [1 ]
Ali, Aamir [1 ,3 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Dept Math, Jeddah 21432, Saudi Arabia
[3] Univ Nice Sophia Antipolis, Lab Jean Alexandre Dieudonne, CNRS UMR 7351, F-06108 Nice, France
关键词
magneto hydrodynamic Sisko fluid; asymmetric channel; Peristaltic flow; non-Newtonian fluid; ASYMMETRIC CHANNEL; NEWTONIAN FLUID; HEAT-TRANSFER; FLOW PROBLEMS; TRANSPORT; DUCT;
D O I
10.1088/1674-1056/23/5/054702
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Analytical solutions for the peristaltic flow of a magneto hydrodynamic (MHD) Sisko fluid in a channel, under the effects of strong and weak magnetic fields, are presented. The governing nonlinear problem, for the strong magnetic field, is solved using the matched asymptotic expansion. The solution for the weak magnetic field is obtained using a regular perturbation method. The main observation is the existence of a Hartman boundary layer for the strong magnetic field at the location of the two plates of the channel. The thickness of the Hartmann boundary layer is determined analytically. The effects of a strong magnetic field and the shear thinning parameter of the Sisko fluid on the velocity profile are presented graphically.
引用
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页数:5
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