LAPLACE TRANSFORMATION FOR AN OPTICALLY THICK GRAY GAS IN A VERTICAL CHANNEL WITH MAGNETIC BODY FORCE: ROSSELAND APPROXIMATION

A Couette fl ow of an optically thick gray gas flowing in a vertical channel is analyzed analytically with consideration of the buoyancy effects and thermal radiation. The Rosseland diffusion flux approximation is employed to simulate the radiative heat transfer contribution. An impulsive movement and a uniformly accelerated movement of one plate are considered with the second plate being stationary. The numerical results for some special cases are compared with the exact solutions and are found to be in good agreement. The effects of the fl ow parameters on the nondimensional velocity and skin friction are revealed.
   
Author:  K. Kalita and S. Ahmed
Keywords:  optically thick gray gas, vertical channel, Rosseland approximation, Laplace transform, thermo-fl uid dynamics, impulsive plate movement
Page:  918