Abstract
The formation of hydraulic jumps in a rotating, homogeneous, one-layer fluid is investigated. A scale analysis indicates that jump-formation cases should be separated from nonjump cases by the curve F = ARo2 where Ro and F are the initial Rossby and Froude numbers, respectively. Numerical solutions verify the curve up to F = 0.33 and show that A is in the range 6.0–7.5. The solutions for F = 1.0 are examined in considerable detail. It is shown by example that jumps can occur in the nonjump region when large evolution times are allowed. The results of this paper verify and extend the work of Houghton.
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