Some unseparated base flows with heat addition

Abstract

Analytical solutions are derived for a class of axisymmetric base flows with heat addition. The assumed upstream conditions are non-uniform in velocity and temperature, which vary with r in spherical polar coordinates (r, θ, φ) in a prescribed manner such that pressure and Mach number are independent of r. The turning flow expands about the base axisymmetrically and without change in r-dependence, so that the flow is self-similar with respect to conical surfaces of constant θ. The magnitude and distribution of heat addition is then calculated and results are given for a few examples.