ANALYSIS OF NONSTATIONARY INCOMPRESSIBLE FLOWS 
IN DIFFERENTLY SHAPED CHANNELS
ON THE BASIS OF SYMMETRIES 
A. A. Avramenko

UDC 532.526

Nonstationary flows in laminar and turbulent regimes 
in differently shaped channels have been investigated theoretically. 
An approach has been used which is based on the properties of the 
symmetry of differential equations (Lie groups) that describe the 
process of an accelerated channel flow. A way in which the self-similar 
forms of one-dimensional and two-dimensional flow can be obtained 
on the basis of symmetries is shown. The self-similar equations of 
the process and their analytical and numerical solutions are given.

Institute of Technical Thermophysics, National Academy 
of Sciences of Ukraine, Kiev, Ukraine; email: aaa@svitonline.com.
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 74, No. 5, 
pp. 63-73, September-October, 2001. 
Original article submitted November 27, 2000.

JEPTER74920200117
JEPTER7492017