Thermal Radiation on Linearly Accelerated Vertical Plate with Variable Temperature and Uniform Mass Flux

Radiative heat transfer effects on unsteady flow of viscous incompressible fluid past a uniformly accelerated infinite vertical plate with variable temperature and uniform mass flux has been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is linearly accelerated with a velocity u = (u³₀ / ν) t'in its own plane. The plate temperature is raised linearly with time and the concentration level near the plate is also raised at a uniform rate. The velocity, temperature and concentration fields are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, radiation parameter and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. But the trend is just reversed with respect to the thermal radiation parameter.