A CONTRIBUTION TO THE INTEGRAL THEORY OF A TURBULENT JET 
ABOVE A POINT HEAT SOURCE OF CONSTANT STRENGTH

A. N. Vul'fson and O. O. Borodin

UDC 532.529.2:536.24 + 551.511.6

Consideration has been given to the integral model of 
an unsteady vertical convective jet above a point heat source of constant 
strength. It has been shown that this problem is reduced to self-similar 
equations allowing the analytical solution. An algebraic invariant 
relating the parameters of the velocity and the temperature along 
the jet axis has been constructed. A comparison of the analytical 
solution and the existing experimental data on the propagation of 
the upper boundary of the convective jet has been made.

Institute of Problems of Petroleum and Gas, Russian Academy 
of Sciences, 3 Gubkin Str., GSP 1, Moscow, 117701, Russia; email: 
vulfson@ogri.ru, borodin@ogri.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 76, No. 5, pp. 187-192, September-October, 2003. 
Original article submitted January 16, 2003; revision submitted April 
4, 2003.