Journal of Fluid Mechanics

The radial spread of a liquid jet over a horizontal plane

E. J.  Watson a1
a1 Department of Mathematics, University of Manchester

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When a smooth jet of water falls vertically on to a horizontal plane, it spreads out radially in a thin layer bounded by a circular hydraulic jump, outside which the depth is much greater. The motion in the layer is studied here by means of boundary-layer theory, both for laminar and for turbulent flow, and relations are obtained for the radius of the hydraulic jump. These relations are compared with experimental results. The analogous problems of two-dimensional flow are also treated.

(Published Online March 28 2006)
(Received August 13 1963)
(Revised May 6 1964)