
Accession Number : AD0288290
Title : SHOCKBOUNDED, SELFSIMILAR FLOWS WITH VOLUMETRIC MASS, MOMENTUM, AND ENERGY ADDITION
Corporate Author : DEPUTY COMMANDER AEROSPACE SYSTEMS INGLEWOOD CALIF
Personal Author(s) : MIRELS,HAROLD ; MULLEN,JAMES F.
Report Date : 28 JUN 1962
Pagination or Media Count : 1
Abstract : Selfsimilar flows with volumetric mass, momentum, and energy addition are investigated. Unsteady flows bounded by shock waves and equivalent steady hypersonic flows over slender bodies are considered, and the form of the shock shape and of the volumetric sources for selfsimilar motion are noted. For unsteady flows, it is found that the shock shape mu t have the form R sub O=ct to the m power (where R sub O = shock ordinate, t = time) and that the mass, momentum, and energ sources must be expressible in the fom of a funtion of r/R sub O times t to the 1 power, t to the m2 power, and t to the 2m3 power, respectively (where r is the lateral ordinate). If the sources introduce only sll perturbations in an otherwise selfsimilar flow, solutions can be obtained for sources expressible as a function of r/R sub O times t to arbitrary constant exponents. Thus, the small perturbation case is less restrictive with regard to the functional form of the sources. For equivalent steady hypersonic flows, the streamwise distance, x, replaces t in the above expressions. Numerical perturbation solutions are obtained for the effect of a uniform transverse magnetic field on pistondriven flows and blast waves. The firstorder effect of bodythickness raio on the hypersonic flow (in the limit of infinite Mach number) over slender power law bodies is aso reated. (Author)
Descriptors : *GAS FLOW, AERODYNAMIC CHARACTERISTICS, AERODYNAMIC CONFIGURATIONS, BLAST, BOUNDARY LAYER CONTROL, ENERGY, EQUATIONS, MAGNETOHYDRODYNAMICS, MATHEMATICAL ANALYSIS, MOMENTS, MOTION, PERTURBATION THEORY, SHOCK WAVES, THEORY, TURBULENCE
Distribution Statement : APPROVED FOR PUBLIC RELEASE