Stagnation flow with radiation

A solution is obtained to the problem of heat transfer to an absorbing, emitting, isotropically scattering, gray stagnation point boundary layer flow, and the effects of radiation scattering on temperature distribution and heat flux are examined. Dimensionless momentum and energy equations are obtained for a radiating, steady, two-dimensional, incompressible, Newtonian stagnation boundary layer flow, with the energy equation coupled to the radiation flux of an absorbing, emitting, isotropically scattering gray, plane-parallel medium, and the combined radiation and convection problem is solved by an iterative technique to obtain the temperature distribution. For the case of a boundary layer under black wall conditions, it is found that the increase of the single scattering albedo leads to a decrease in radiative heat flux, while increasing optical thickness is shown to flatten the temperature profile in the region far from the wall and steepen the temperature gradient at the wall. Finally, it is found that the total heat flux to the wall decreases rapidly with increasing optical thickness up to a thickness of 0.1, when the rate of decrease lessens.