The steady magnetohydrodynamics (MHD) laminar compressible flow of an electrically conducting fluid on a porous rotating disk is considered in the present paper. The governing equations of motion are reduced to a set of nonlinear differential equations by means of similarity transformations. The fluid properties are taken to be strong functions of temperature and Hall current that also readily accounts for the viscous dissipation and Joule heating terms. Employing a highly accurate spectral numerical integration scheme, the effects of viscosity, thermal conductivity, Hall current, magnetic field, suction/injection, viscous dissipation, and Joule heating on the considered flow are examined. The quantities of particular physical interest, such as the torque, the wall shear stresses, the vertical suction velocity, and the rate of heat transfer are calculated and discussed.

1.
Stuart
,
J. T.
, 1954, “
On the Effect of Uniform Suction on the Steady Flow Due to a Rotating Disc
,”
Q. J. Mech. Appl. Math.
0033-5614,
7
, pp.
446
457
.
2.
Kuiken
,
H. K.
, 1971, “
The Effect of Normal Blowing on the Flow Near a Rotating Disk of Infinite Extent
,”
J. Fluid Mech.
0022-1120,
47
, pp.
789
798
.
3.
Kumar
,
S. K.
,
Thacker
,
W. I.
, and
Watson
,
L. T.
, 1988, “
Magnetohydrodynamic Flow and Heat Transfer About a Rotating Disk With Suction and Injection at the Disk Surface
,”
Comput. Fluids
0045-7930,
16
, pp.
183
193
.
4.
Ariel
,
P. D.
, 2002, “
On Computation of MHD Flow Near a Rotating-Disk
,”
Z. Angew. Math. Mech.
0044-2267,
82
, pp.
235
246
.
5.
Cramer
,
K.
, and
Pai
,
S.
, 1973,
Magnetofluid Dynamics for Engineers and Applied Physicists
,
McGraw-Hill
,
New York
.
6.
Attia
,
H. A.
, 2001, “
Effect of Hall Current on the Unsteady MHD Flow Due to a Rotating Disk With Uniform Suction or Injection
,”
Appl. Math. Model.
0307-904X,
25
, pp.
1089
1098
.
7.
Maleque
,
Kh. A.
, and
Sattar
,
Md. A.
, 2005, “
The Effects of Variable Properties and Hall Current on Steady MHD Laminar Convective Fluid Flow Due to a Porous Rotating Disk
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
4963
4972
.
8.
Awad
,
M. M.
, 2008, “Heat
Transfer From a Rotating Disk to Fluids for a Wide Range of Prandtl Numbers Using the Asymptotic Model
,”
J. Heat Transfer
0022-1481,
130
, p.
014505
.
9.
Turkyilmazoglu
,
M.
, 2009, “
Exact Solutions Corresponding to the Viscous Incompressible and Conducting Fluid Flow Due to a Porous Rotating Disk
,”
ASME J. Heat Transfer
0022-1481,
131
, p.
091701
.
10.
Turkyilmazoglu
,
M.
, 1998, “
Linear Absolute and Convective Instabilities of Some Two- and Three-Dimensional Flows
,” Ph.D. thesis, University of Manchester, Manchester, UK.
11.
Kelson
,
N.
, and
Desseaux
,
A.
, 2000, “
Note on Porous Rotating Disk Flow
,”
ANZIAM J.
1445-8735,
42
, pp.
C837
C855
.
12.
Sparrow
,
E. M.
, and
Gregg
,
J. L.
, 1959, “
Heat Transfer From a Rotating Disk to Fluids of Any Prandtl Number
,”
ASME J. Heat Transfer
0022-1481,
81
, pp.
249
251
.
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