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Magnetohydrodynamic free convection heat and mass transfer over an oscillating plate with radiation absorption - an exact solution

Chaudhary R. C., Jain P.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

903-921

The problem of magnetohydrodynamic free-convection flow past an infinite vertical oscillating plate in the presence of chemical species concentration and thermal radiation effects has been solved. The plate temperature increases linearly with time and the fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The governing equations are non-dimensionalized and their solutions are obtained in a closed form using the Laplace-transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, thermal Grashof number, mass Grashof number, time, Schmidt number and frequency of oscillations on the velocity, temperature and concentration profiles. The variation of the dimensionless skin-friction coefficient, wall heat transfer and the Sherwood number for different values of the parameters appearing in their expression is also shown with the help of figures.

Radiative heat transfer aspect of an optically thin gray gas in the presence of a magnetic field

Ghosh S. K.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

849-855

The purpose of the present investigation is to study an unsteady magnetohydrodynamic flow of a viscous incompressible electrically conducting fluid occupying a semi-infinite region of space bounded by an infinite vertical moving plate. The flow is considered to be gray in the presence of free convection, mass transfer and radiation. An exact solution of the goveming equations is obtained by applying the Laplace transform technique. Numerical results of velocity distributions are presented in tables to give a physical insight into the flow pattern.