Plane configurations in a flow of a perfect gas with a maximum critical Mach number

The problems in the construction of bodies which, satisfying some geometric limitations, are exposed to a plane symmetric flow of a perfect (inviscid and heat-nonconducting) gas with a maximum critical Mach numberM* are considered. Solutions are found by a numerical-analytical method with the use of the variables of the velocity hodograph. The Mach numberM* is found as a function of the geometric characteristics of the sought bodies on the basis of approximation of numerical data. Institute of Mathematics and Mechanics at the Kazan' State University, Kazan' 420008. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 5, pp. 106–115, September–October, 1998.