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