A comparison of the models of a thin and a complete viscous shock layer in the problem of the supersonic flow of a viscous gas past blunt cones

G. A. Tirskii, S. V. Utyuzhnikov

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Abstract

The flow of a viscous heat conducting supersonic gas past spherically blunted cones is used to compare the solutions of the equations of a thin (hypersonic) viscous shock layer (TVSL) with a given form of the shock wave (SW), with the solutions of the complete equations of a viscous shock layer (CVSL) in which the assumption that the shock layer is thin is not made and, which is important, the form of the SW is determined in the course of solving the problem. It is shown that a "successful" description of the form of the SW in solving the problem of hypersonic flow past a blunt cone within the framework of the equations of a TVSL provides, firstly, the possibility of obtaining the solution at considerable distances downstream and secondly, of sharpening the solution considerably, assuming that it can be obtained at all within the framework of the equations of the TVSL, compared with the commonly used asymptotic approach in which the form of the SW is assumed, in solving these equations, to be an equidistant form of the body.

Original languageEnglish
Pages (from-to)762-767
Number of pages6
JournalJournal of Applied Mathematics and Mechanics
Volume53
Issue number6
DOIs
Publication statusPublished - 1989
Externally publishedYes

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