TY - JOUR

T1 - The minimization of the total pressure loss accompanying the breakdown of a supersonic flow

AU - Malozemov, V. N.

AU - Omel'chenko, A. V.

AU - Uskov, V. N.

N1 - Funding Information: This research was supported financially by the Foundation for Research in the Area of Fundamental Natural Sciences (95-0-4.2-171). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 1998

Y1 - 1998

N2 - The problem of minimizing the total pressure loss accompanying the breakdown of a supersonic flow to subsonic velocities through a system of successively ordered shock waves is considered. By changing to the corresponding problem of non-linear programming with non-linear constraints in the form of inequalities, a point which is suspected of being an extremum is determined and it is proved that it is the point of a strict local minimum. It is noted that, when the number of shock waves increases to infinity, the optimal shock wave system changes into an isoentropic wave.

AB - The problem of minimizing the total pressure loss accompanying the breakdown of a supersonic flow to subsonic velocities through a system of successively ordered shock waves is considered. By changing to the corresponding problem of non-linear programming with non-linear constraints in the form of inequalities, a point which is suspected of being an extremum is determined and it is proved that it is the point of a strict local minimum. It is noted that, when the number of shock waves increases to infinity, the optimal shock wave system changes into an isoentropic wave.

UR - http://www.scopus.com/inward/record.url?scp=0032216951&partnerID=8YFLogxK

U2 - 10.1016/S0021-8928(98)00119-1

DO - 10.1016/S0021-8928(98)00119-1

M3 - Article

AN - SCOPUS:0032216951

VL - 62

SP - 939

EP - 944

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 6

ER -