METHOD OF MOMENTS IN THE PROBLEM OF HYPERSONIC RAREFIED GAS FLOW PAST BODIES,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The problem of a hypersonic rarefied gas flow past bodies of arbitrary shapes is considered. The method of moments which is used consists in the expansion of the distribution function in orthogonal polynomials in an arbitrary region of the velocity range. Then, on the basis of the Boltzmann or Vallander kinetic equations, a system of integral equations of moments is derived from which the values of macroscopic parameters are determined, the latter being expressed by the expansion coefficients of the distribution function. In the case of hypersonic flows, the polynomials may be constructed asymptotically. As an example, a hypersonic longitudinal flow over a semi-infinite plate is considered and the macroparameters of the flow, that is, density, macroscopic velocity, temperature, stress tensor, and thermal flux vector, are expressed by the expansion coefficients. In conclusion, the author stresses the need for associating the method of integral equations of moments, iteration, and asymptotic methods for the solution of problems of hypersonic aerodynamics of rarefied gases.
- Fluid Mechanics