SYMMETRIES OF CYLINDRICAL EQUATIONS
OF HYDRODYNAMICS AND CONVECTIVE
HEAT EXCHANGE

A. A. Avramenko and B. I. Basok

UDC 532.526

Consideration has been given to the interrelation of the 
symmetries (in terms of the Lie groups) of a system of Navier-Stokes 
and Fourier-Kirchhoff equations and self-similar forms of these 
equations. It has been shown how various self-similar forms can be 
determined on the basis of the symmetries. Ordinary self-similar differential 
equations have been obtained.

Institute of Thermal Physics, National Academy of Sciences 
of Ukraine, Kiev, Ukraine. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 75, No. 3, pp. 37-43, May-June, 2002. Original 
article submitted June 13, 2001.

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