On proper transonic flows of radiative gas in channels with slightly varying parameters: PMM vol. 40, n≗ 5, 1976, pp. 834–845

Abstract Flows of gas at velocities close to the isentropic and isothermal speeds of sound in channels with slowly changing temperature and curved walls are considered. The model takes into account the convection nonlinearity resulting from the cumulative effect of perturbation propagation. It also permits the analysis of the arbitrary effect of radiation on the motion of gas. The derived nonlinear system of equations defines the flow of gas in channels whose transverse optical thickness is of the order of unity. Similar equations for quasi-isentropic flows appear in [1].