Analytic solution for MHD Transient rotating flow of a second grade fluid in a porous space

被引:47
作者
Hayat, T. [2 ]
Fetecau, C. [2 ,3 ]
Sajid, M. [1 ]
机构
[1] PINSTECH, Theoret Plasma Phys Div, Islamabad 44000, Pakistan
[2] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[3] Tech Univ Iasi, Dept Math, R-6600 Iasi, Romania
关键词
unsteady flow; rotating frame; MHD flow; Fourier sine transform; analytic solution;
D O I
10.1016/j.nonrwa.2007.04.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article looks into the unsteady rotating magnetohydrodynamic (MHD) flow of an incompressible second grade fluid in a porous half space. The flow is induced by a Suddenly moved plate in its own plane. Both the fluid and plate rotate ill unison with the same angular velocity. Analytic solution of the governing flow problem is obtained by using Fourier sine transform. Based on the modified Darcy's law, expression for velocity is obtained. The influence of pertinent parameters oil the flow is delineated and appropriate conclusions are drawn. Several existing Solutions of Newtonian fluid have been also deduced as limiting cases. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1619 / 1627
页数:9
相关论文
共 54 条
[1]   On exact solutions of flow problems of a second grade fluid through two parallel porous walls [J].
Ariel, PD .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (08) :913-941
[2]   MHD non-Newtonian flow due to non-coaxial rotations of an accelerated disk and a fluid at infinity [J].
Asghar, S. ;
Hanif, K. ;
Hayat, T. ;
Khalique, C. M. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (04) :465-485
[3]   Exact solutions for magnetohydrodynamic flow in a rotating fluid [J].
Asghar, S ;
Khan, M ;
Siddiqui, AM ;
Hayat, T .
ACTA MECHANICA SINICA, 2002, 18 (03) :244-251
[4]   Start-up flows of second grade fluids in domains with one finite dimension [J].
Bandelli, R ;
Rajagopal, KR .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1995, 30 (06) :817-839
[5]  
Bandelli R., 1995, ARCH MECH, V47, P661
[6]   ON SPIN-UP OF AN ELECTRICALLY CONDUCTING FLUID .1. UNSTEADY HYDROMAGNETIC EKMAN-HARTMANN BOUNDARY-LAYER PROBLEM [J].
BENTON, ER ;
LOPER, DE .
JOURNAL OF FLUID MECHANICS, 1969, 39 :561-&
[7]   HYDROMAGNETIC SPIN-UP [J].
CHAWLA, SS .
JOURNAL OF FLUID MECHANICS, 1972, 53 (03) :545-&
[8]   Unsteady unidirectional flow of second grade fluid between the parallel plates with different given volume flow rate conditions [J].
Chen, CI ;
Chen, CK ;
Yang, YT .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (2-3) :437-450
[9]   RESONANT OSCILLATIONS OF A POROUS PLATE IN AN ELECTRICALLY CONDUCTING ROTATING VISCOUS-FLUID [J].
DEBNATH, L .
PHYSICS OF FLUIDS, 1974, 17 (09) :1704-1706
[10]   EFFECTS OF HALL CURRENT ON UNSTEADY HYDROMAGNETIC FLOW PAST A POROUS PLATE IN A ROTATING FLUID SYSTEM [J].
DEBNATH, L ;
RAY, SC ;
CHATTERJEE, AK .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1979, 59 (09) :469-471