Three-dimensional squeezing flow in a rotating channel of lower stretching porous wall

被引:76
作者
Munawar, Sufian [1 ]
Mehmood, Ahmer [2 ]
Ali, Asif [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] FBAS Int Islamic Univ, Dept Math, Islamabad, Pakistan
关键词
Rotating channel; Unsteady stretching sheet; Three-dimensional squeezing flow; Viscous fluid; Numerical solution; HEAT-TRANSFER; HOMOTOPY ANALYSIS; MHD FLOW; FLUID; SURFACE;
D O I
10.1016/j.camwa.2012.01.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The present study deals with the three-dimensional flow in a rotating channel of lower permeable stretching wall. The unsteady squeezing flow in the presence of transverse magnetic flux is mathematically modeled with the help of Navier-Stokes equations. The governing equations are normalized with the help of suitable similarity transformations and the analysis is based on a numerical technique. The numerical results are validated with the analytic solution by homotopy analysis method. The flow characteristics are investigated by a comprehensive parametric study. Various aspects of squeezing flow are focused and examined by plotting graphs and tables of stream lines, velocity profiles, pressure gradient and shear stresses. The vertical motion of upper plate interrupts the velocity in the channel remarkably and the pressure variations are significant near the boundaries of the channel. The downward motion of upper plate augments the forward flow and viscous drag on lower plate, whereas, upward motion enhances the reverse flow. However, a suitable choice of squeezing velocity can minimize the viscous drag on lower plate. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1575 / 1586
页数:12
相关论文
共 40 条
[1]   Homotopy analysis method for heat radiation equations [J].
Abbasbandy, S. .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2007, 34 (03) :380-387
[2]   Homotopy analysis of unsteady boundary layer flow adjacent to permeable stretching surface in a porous medium [J].
Ali, Asif ;
Mehmood, Ahmer .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (02) :340-349
[3]   MHD FLOW OF A VISCOELASTIC FLUID PAST A STRETCHING SURFACE [J].
ANDERSSON, HI .
ACTA MECHANICA, 1992, 95 (1-4) :227-230
[4]   Axisymmetric flow of a second grade fluid past a stretching sheet [J].
Ariel, PD .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2001, 39 (05) :529-553
[5]   Unsteady MHD squeezing flow between two parallel rotating discs [J].
Bhattacharyya, S ;
Pal, A .
MECHANICS RESEARCH COMMUNICATIONS, 1997, 24 (06) :615-623
[6]   HYDROMAGNETIC FLOW AND HEAT-TRANSFER BETWEEN 2 HORIZONTAL PLATES, THE LOWER PLATE BEING A STRETCHING SHEET [J].
BORKAKOTI, AK ;
BHARALI, A .
QUARTERLY OF APPLIED MATHEMATICS, 1983, 40 (04) :461-467
[7]   HEAT-TRANSFER ON A CONTINUOUS STRETCHING SHEET [J].
CARRAGHER, P ;
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1982, 62 (10) :564-565
[8]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[9]  
Debnath L., 1972, RECENT RES UNSTEADY
[10]   Approximate Analysis of MHD Squeeze Flow between Two Parallel Disks with Suction or Injection by Homotopy Perturbation Method [J].
Domairry, G. ;
Aziz, A. .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009