|
JP Journal of Mathematical Sciences |
Volume 1, Number 1, 2011, Pages 15-29 |
|
RADIATION EFFECTS ON MHD FLOWS PAST AN INFINITE VERTICAL PLATE WITH VARIABLE TEMPERATURE AND UNIFORM MASS DIFFUSION |
Taleshian and N. Asghari |
Abstract |
|
Thermal radiation effects on unsteady flow of a viscous incompressible and electrically conducting fluid past an impulsively started infinite vertical plate in presence of (i) variable temperature, (ii) uniform mass diffusion and (iii) a uniform magnetic field applied transversely to the flow, are studied. The dimensionless governing equations are solved by using the Laplace transform technique. The velocity, concentration as well as temperature distributions and skin-friction are studied for different values of the parameters involved. Results obtained are presented with the help of graphs and table. |
|
|
Keywords and phrases: Thermal radiation, MHD flows, variable temperature, uniform mass diffusion, Laplace transform, magnetic field.
Received February 3, 2011 |
References |
|
| |
[1] |
H. A. Attia and N. A. Kotb, MHD flow between two parallel plates with heat transfer, Acta Mech. 117 (1996), 215-220. |
[2] |
K. R. Cramer and S. I. Pai, Magneto Fluid Dynamics for Engineers and Applied Physicists, Mc. Graw Hill, New York, 1993. |
[3] |
U. N. Das, R. K. Deka and V. M. Soundalgekar, Radiation effects on flow past an impulsively started vertical plate-an exact solution, J. Theo. Appl. Fluid Mech. 1 (1996), 111-115. |
[4] |
W. G. England and A. F. Emery, Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas, J. Heat Transfer 91 (1969), 37-44. |
[5] |
M. A. Hossain and H. S. Takhar, Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat Mass Transfer 31 (1996), 243-248.
|
[6] |
R. Muthucumaraswami and T. Kulandaivel, Radiation effects on moving vertical plate with variable temperature and uniform mass diffusion, J. Ener. Heat Mass Trans. 30 (2008), 79-88.
|
[7] |
S. D. Nigam and S. N. Singh, Heat transfer by laminar flow between parallel plates under the action of transverse magnetic field, Q. J. Mech. Appl. Math. 13 (1960), 85-87. |
[8] |
A. Raptis and C. Perdikis, Radiation and free convection flow past a moving plate, Int. J. App. Mech. Engg. 4 (1999), 817-821. |
[9] |
V. M. Soundalgekar and J. P. Bhat, Oscillatory MHD channel flow and heat transfer, Indian J. Pure. Appl. Math. 15 (1971), 819-828. |
[10] |
V. M. Soundalgekar, U. N. Das and R. K. Deka, Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux, Indian J. Math. 39 (1997), 195-202. |
[11] |
V. M. Soundalgekar, M. R. Patil and H. S. Takhar, MHD flow past a vertical oscillating plate, Nuclear Engg. Design 64 (1981), 43-48. |
[12] |
V. M. Soundalgekar and H. S. Takhar, Radiation effects on free convection flow past a semi-infinite vertical plate, Modelling, Measurement & Control B51 (1993), 31-40. |
[13] |
K. Vajravelu, An exact periodic solution of a hydromagnetic flow in a horizontal channel, ASME J. Appl. Mech. 55 (1988), 981-983. |
| |
|
| |
|
|
|
