TY - JOUR

T1 - 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

AU - Tirskii, G. A.

AU - Utyuzhnikov, S. V.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=45149143926&partnerID=8YFLogxK

U2 - 10.1016/0021-8928(89)90083-X

DO - 10.1016/0021-8928(89)90083-X

M3 - Article

AN - SCOPUS:45149143926

VL - 53

SP - 762

EP - 767

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 6

ER -