Supercritical Flow over Sills at Incipient Jump Conditions

by Karam S. Karki, Sr. Res. Scholar; Appl. Mech. Dept., Indian Inst. of Technol., Hauz Khas, New Delhi, India,
Subhash Chander, Asst.Prof.; Dept. of Civ. Engrg., Indian Inst. of Technol., Hauz Khas, New Delhi,

Serial Information: Journal of the Hydraulics Division, 1972, Vol. 98, Issue 10, Pg. 1753-1764

Document Type: Journal Paper


A laboratory investigation has been conducted to study the conditions mainly responsible for the stabilization and prediction of the hydraulic jump in a rectangular, horizontal-bed channel with a square-shaped bottom sill at the incipient jump condition (i.e., at the verge of formation of the jump, however, without it actually forming). A theoretical analysis based upon the momentum and continuity principles has been carried out. A formula for the design of the sills, when the ratio of the sill height to the upstream depth is smaller than 1.25, is suggested. A relationship between the drag experienced by the sill and the upstream Froude number is also given. The theoretical formulation has been checked by laboratory experimentation.

Subject Headings: Supercritical flow | Reefs and sills | Laboratory tests | Rivers and streams | Hydraulic jump | Channel stabilization | Froude number

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