Local Method in Rarefied Gas Aerodynamics
An approximate method for calculating aerodynamic characteristics of bodies in hypersonic rarefied gas flow is set forth. It is based on assuming that the momentum flux p at the body surface is to be determined by the local incidence angle q1 irrespective of the body form. The p (q1)-approximation contains a number of empirical coefficients depending on regime parameters. As a result the problem is split into two parts: first calculating form functions independent of the flow regime and, second finding regime coefficients independent of the body form. Treatment with experimental data has shown the local approach to be sufficiently exact for all Knudsen numbers. An extension of the method to finite Mach numbers is also proposed. Some advisable trends towards the further development of the local theory are discussed.
References
R.G. BARANTSEV, L. A. VASILJEV, E. V. IVANOV, V.V. KOZACHEK, A. D. MINAICHEV, L. V. MIHAILOV, N. V. MURZOV, Aerodynamic calculation in a rarefied gas flow on the basis of locality hypothesis [in Russian], Rarefied Gas Aerodynamics, Leningrad University, 4, 170-184, 1969.
R. G. BARANTSEV, On choice of momentum flux to depend on the local incidence angle in the local interaction theory [in Russian], Rarefied Gas Aerodynamics, Leningrad University, 7,
-179, 1974.
E. V. ALEKSEYEVA, R. G. BARANTSEV, Local method of aerodynamic calculation in rarefied gas [in Russian], Leningrad University 1976.
A. P. KRASILSHIKOV, V. V. NOSOV, Systematic experimental study results for aerodynamics of circular cones in a viscous hypersonic flow [in Russian], Proc TSAGI, 1341, 1971.
R. G. BARANTSEV, Interaction of rarefied gas flows with surfaces in Russian], Nauka, 1975.
S. N. ALEKSEYEVA, R. N. MIROSHIN, On dependence of local interaction parameters on Knudsen number [in Russian], Rarefied Gas Aerodynamics, Leningrad University, 7, 180-190, 1974.
A.I. BUNIMOVICH, Relations between forces acting on bodies moving in rarefied gas, light, and hypersonic Newtonian flows [in Russian], Mech. of Liquid and Gas, 4, 89-95, 1973.
R. N. MIROSHIN, Linear regression analysis of experiments in rarefied gas flow [in Russian], Rarefied Gas Aerodynamics, Leningrad University, 5, 14-38, 1970.
R. G. BARANTSEV, L. A. VASILJEV, A. D. MINAICHEV, N.V. MURZOV, Aerodynamic characteristics of a plate in rarcefied gas flow [in Russian], Rarefied Gas Acrodynamics, Leningrad
University, 4, 190-195, 1969.
R. G. BARANTSEV, A. V. KOPYLOVA, On conservation equations in rarefied gas at body surface [in Russian], Rarefied Gas Aerodynamics, Leningrad University, 7, 191-197, 1974.