Behaviour of finite amplitude waves in a radiating gas

The considered investigation is concerned with the effects of thermal radiation and the wave front curvature on the growth and decay properties of finite amplitude waves propagating through a thermally radiating inviscid grey gas of arbitrary opacity in three dimensions. The investigation makes use of the differential approximation for radiative transfer. The relation is valid over the entire optical depth range from the transparent limit to the optically thick limit. The absorption coefficient is considered as a function of temperature and density. The equations show clearly the existence of radiation induced waves. A description is given of exact predictions regarding the true nonlinear progress of the flow-variable gradients at the wave head for both converging and diverging waves. It is found that the nonlinearity in the governing differential equations does not contribute anything to the radiation induced waves.