BIFURCATION OF THE LINES OF AN INCOMPRESSIBLE
VISCOUS-FLUID FLOW IN A RECTANGULAR CAVITY
WITH A MOVING WALL

K. N. Volkov

UDC 532.51

The bifurcation of the lines of a viscous-fluid flow in 
a rectangular cavity with a moving cover has been investigated for 
different ratios between the sides of the cavity and different Reynolds 
numbers on the basis of the qualitative theory of dynamic systems. 
The critical parameters of the problem, at which the type of singular 
points changes, and other topological characteristics of a vortex 
flow in the indicated cavity have been determined and the corresponding 
bifurcation diagrams have been constructed.

Voenmekh D. F. Ustinov Baltic State Technical University, 
1st Krasnoarmeiskaya Str., St. Petersburg, 190005, Russia; email: 
dsci@mail.ru. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 
79, No. 2, pp. 81-85, March-April, 2006. Original article 
submitted November 9, 2004.