## 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.