Formation of a viscous boundary layer on the free surface of an imploding rotating liquid cylinder
Abstract
The paper studies the effects of liquidliner viscosity on the motion of a rotating imploding circular liner in the realistic limit of large Reynolds number. It is found that viscous effects are concentrated in a thin boundary layer at the free surface whose thickness is of the order of the inverse of the square root of Reynolds number. The bulk of the liner behaves essentially inviscidly. Within the viscous boundary layer, the rotational speed of the liner at the free surface is reduced from that which would occur inviscidly. The boundary layer thickness and reduction in angular velocity are determined as quadratures of the basic state trajectory. Numerical results are obtained for a prescribed model radial trajectory and presented as a function of the compression ratio and Reynolds number.
 Publication:

Journal of Fluid Mechanics
 Pub Date:
 July 1979
 DOI:
 10.1017/S0022112079001907
 Bibcode:
 1979JFM....93..305C
 Keywords:

 Boundary Layer Flow;
 Free Boundaries;
 Implosions;
 Rotating Cylinders;
 Rotating Liquids;
 Viscous Flow;
 Angular Velocity;
 Liquid Flow;
 Mathematical Models;
 Radial Flow;
 Reynolds Number;
 Taylor Instability;
 Plasma Physics