The development of nonlinearities in the E to the 1/3 Stewartson layer
Abstract
The present paper develops a formal asymptotic analysis for the growth of nonlinearities in the onethird Stewartson layer formed by the flow from a line source in a rotating fluid. When the Rossby number, epsilon, is large compared to E to the 1/2, for Ekman numbers E, it is found that inertial forces need be included in a domain with width O(epsilon to the 1/2 times E to the 1/4) and height O(epsilon to the 3/2 times E to the 1/4), which grows in size for increasing epsilon. Within this domain there are separate subdomains which can be recognized.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 February 1984
 Bibcode:
 1984QJMAM..37...75S
 Keywords:

 Asymptotic Methods;
 Ekman Layer;
 Equations Of Motion;
 Nonlinear Equations;
 Rotating Fluids;
 Stratified Flow;
 Angular Momentum;
 Angular Velocity;
 Flow Velocity;
 Mass Transfer;
 Rossby Regimes;
 Fluid Mechanics and Heat Transfer