Difference between revisions of "Hydraulic jump"

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<math>\frac{H_2}{H_1} = \frac{1}{2}(\sqrt{8{F_1^2} + 1} - 1)</math>
 
<math>\frac{H_2}{H_1} = \frac{1}{2}(\sqrt{8{F_1^2} + 1} - 1)</math>
  
−
where <math>F_1 = \sqrt{g}{Y_1}</sqrt></math>
+
where <math>F_1 = \sqrt{gY_1}</math>
 
F_1 is called the Froude number, g is the acceleration due to gravity, and Y_1 is the depth of the water.
 
F_1 is called the Froude number, g is the acceleration due to gravity, and Y_1 is the depth of the water.

Revision as of 01:42, May 30, 2010

A hydraulic jump in the river

A hydraulic jump is a discrepancy in water depths. When water in a stream flows over a rock, the water may reach supercritical speed - that is, the speed of the water may exceed the speed that waves propagate at. If so, there will be a sudden change in the water's height so that the speed of the water is reduced to subcritical speed.

The equation that governs this phenomena is:

where F_1 is called the Froude number, g is the acceleration due to gravity, and Y_1 is the depth of the water.