The Algorithm of Gas Dynamic Calculation on Asymmetric Cones by the Method of Local Wedges and Cones

Author:

Gorskiy V.V.1,Brodskiy M.Yu.2

Affiliation:

1. JSC MIC NPO Mashinostroyeniya; Bauman Moscow State Technical University

2. JSC "MIC "NPO Mashinostroyenia"

Abstract

Studies related to alteration in the shape of a body moving in the dense layers of the Earth’s atmosphere at high speed are associated with the need to consider an entire set of problems having no strict physical and mathematical description. To solve problems of this kind, it becomes necessary to use semi-empirical approaches tested on fundamental experimental data obtained in a fairly wide range of determining factors on the models characterized, as a rule, by an extremely simple pattern of the gas flow. Introduction of this mathematical description in real operating conditions is characterized by the need to study the processes of gas dynamics and heat transfer in the three-dimensional formulation combined with the complex nature of their course. These processes determine alteration in the shape of a body causing serious problems associated with rigorous solution of this complex mutually conjugate problem. As a result, there appeared a large number of publications devoted to approximate methods for calculating the spatial flow around bodies by the gas flow used to calculate intensity of the convective heat transfer. This article describes in detail the algorithm for solving the problem of spatial flow around blunt cones by the method of local wedges and cones

Publisher

Bauman Moscow State Technical University

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

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2. Shevelev Yu.D. Trekhmernye zadachi teorii laminarnogo pogranichnogo sloya [Three-dimensional problems of the theory of the laminar boundary layer]. Moscow, Nauka Publ., 1977.

3. Valio-Laurin R. Laminar heat transfer on three-dimensional blunt nosed bodies in hypersonic flow. ARSJ, 1959, vol. 29, no. 2, pp. 123--129. DOI: https://doi.org/10.2514/8.4698

4. Avduevskiy V.S. Approximate method for calculating a three-dimensional boundary layer on a spreading line. Mekhanika i mashinostroenie, 1962, no. 2, pp. 11--16 (in Russ.).

5. Rakish J.V., Matter G.G. Calculation of metric coefficients for streamline coordinates. AIAA J., 1972, vol. 10, no. 11, pp. 1538--1540. DOI: https://doi.org/10.2514/3.6659

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