Acta Astronautica Vol. 7, pp. 575-581 Pergamon Press Ltd., 1980. Printed in Great Britain Supersonic motion of bodies in dusty gas YU. P. GOLOVACHOV, YU. P. LUNKIN, V. F. MYMRIN ANDA. A. SCHMIDT A. F. loffe Physical-Technical Institute, Leningrad, U.S.S.R. (Received 28 December 1979) Abstract--Supersonic dusty gas flows about the blunted bodies are considered. The effects of rigid particles on the shock layer parameters, drag and heat transfer are investigated within the frames of Euler and Navier-Stokes approaches. When formulating the closed set of gas-particles mixture conservation equations both phenomenologicalrelations and kinetic theory are used. The problem is treated numerically by means of time-asymptotic method along with implicit finite-difference schemes. Introduction THE STUDY of heterogeneous systems, in particular gas-particles mixtures, is of great importance to a wide range of fundamental and applied aspects of continuous media mechanics. Many problems of chemical technology, power engineering, pneumatic transport, spraying, aerodynamics of bodies moving in the dusty atmosphere are but a few examples of numerous applications of multiphase media dynamics. The treatment of muitiphase flows is complicated by the fact that mass, momentum, energy and electric charge exchange between the phases must be correctly accounted for. The kinetic theory methods may be used to obtain a closed set of multiphase media dynamics equations. However the kinetic description of internal particle structure and interphase interaction is rather difficult. So a number of assumptions have to be accepted to solve Boltzmann equations. The processes of interphase exchange may be described with the phenomenological relations as well. In this case the extrapolation of experimental data is usually required that restricts the range of the problems which may be treated. Therefore it seems reasonable to combine both ap- proaches to study the effects of various micro- and macro-parameters on the flow field in particles-laden gas. In the present paper these approaches are applied to investigate the supersonic motion of blunt bodies in dusty atmos- phere. Phenomenological approach Gas-particles mixture is described in terms of enclosed continua theory (Rahmatulin, 1956). The densities of gas and solid phases are op = Cppo, p = (I - ¢)po, (I) 575