QUASI-SELF-SIMILAR DESCRIPTION OF AN EXHAUST JET

A. N. Kucherov

UDC 533.6

The method of construction of an analytical solution for 
the far field of an exhaust jet on the basis of the quasi-self-similar 
solution of Prandtl equations and the turbulence model with one differential 
equation for the coefficient of kinematic viscosity is described. 
An exact numerical solution for distances to about 101
radii of the nozzle is constructed for the basic version. 
Then, a numerical solution and its analytical approximation by the 
quasi-self-similar solution are constructed. Approximations of the 
similarity parameters of the self-similar problem as functions of 
the similarity parameters of the initial problem in the form of polynomials 
allow construction of analytical solutions for different situations, 
which are in satisfactory agreement with the exact numerical solution 
at distances of  103 radii.

N. E. Zhukovskii Central Aerohydrodynamic Institute, Zhukovskii, Russia; 
email: ank@aerocentr.msk.su. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 76, No. 1, pp. 60-64, January-February, 2003. 
Original article submitted July 23, 2002.