Theory of flows in compressible media with heat addition

The effects of added energy on a compressible flowfield are studied. One-dimensional flows are explored analytically as diabatic processes, revealing that in a subsonic regime pressure and density increase and velocity decreases in front of the diabatic zone, while velocity increases and density decreases behind the zone. Hugoniot curves are mentioned, and heat addition in a channel with a variable cross section is considered. Attention is also given to two-dimensional linear and nonlinear processes, particularly for heating on a straight front, a profile with continuously distributed heating, a Prandtl-Meyer expansion, Broadbent's method, and heating in hypersonic flow. For hypersonic flows, it is shown that only a small portion of the heat input is transformed into thrust, the rest being distributed in pressure and temperature rises in the hypersonic flowfield.