Radiative heat transfer in a hypersonic gas flow generated a spherical source past a plane

An asymptotic solution of radiative gas-dynamic equations for stationary interaction of two hypersonic gas flows emanating from two identical spherical sources is obtained. Under the assumption that the gas in the shock layer is in local thermodynamic equilibrium and volume emission (energy loss for radiation) occurs there, analytical expressions for the distributions of gas-dynamic functions and temperature are derived. The shock wave shape and the radiant flux on the contact plane are examined as functions of problem parameters.