BIFURCATIONS OF EQUILIBRIUM STATES OF A FLUID LAYER INSIDE A ROTATING CYLINDER

The relative equilibrium of a layer of viscous fluid on the interior surface of a rotating cylinder has been investigated. The influence of the physical properties of the fluid, the difference of the pressures in the layer and the environment, the rotational velocity and radius of the cylinder, and the thickness of the layer on the form of its free surface have been studied. The shapes of the surface and the possibility of branching of solutions in a nonlinear formulation have been investigated; the complete branches of bifurcation curves have been constructed
   
Author:  P. N. Konon and A. V. Zhuk
Keywords:  bifurcation, branching of solutions, rotation of a cylinder, relative equilibrium, free surface
Page:  442