The formation of hydraulic jumps in a rotating, continuously stratified system.

Abstract

The formation of hydraulic jumps in a rotating, continuously stratified, Boussinesq fluid is investigated. A scale analysis indicates that jump-formation cases should be separated from non-jump cases by the curve F=ARo(2) where Ro and F are the initial Rossby and Froude numbers, respectively. Numerical solutions verify the curve up to F=0.3 and show that A is in the range 6.0 to 7.5. The solutions for F=1.0 are examined in considerable detail. The results of this paper extend the work of Houghton and Williams and Hori.http://archive.org/details/theformationofhy1094515726Lieutenant, United States NavyApproved for public release; distribution is unlimited