THE FLOW OF A DISSOCIATING GAS PAST A CONVEX CORNER. PART I. LINEARIZED THEORY.
Interim technical rept.,
RENSSELAER POLYTECHNIC INST TROY N Y
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The equations describing the flow of a dissociating gas past a convex corner are linearized and combined to give a single partial differential equation for the pressure perturbation. In this equation the chemical relaxation time is defined explicitly, and arbitrariness in the definition of this parameter is avoided. It is shown that the solutions of this linear equation agree with exact numerical solutions only when the flow-deflection angle is very small. In particular, the agreement with the exact calculations of Cleaver for a flow deflection angle of five degrees is already quite poor. An important conclusion is that the linear theory for the flow of a dissociating gas, when applied to bodies of variable slope, such as airfoils, is much more severely restricted than previously realized. Author