2013•Journal of Engineering MechanicsRequires access

Radial Jet and Hydraulic Jump in a Circular Basin

Hasan Zobeyer, N. Rajaratnam, David Z. Zhu

Open publisher page 3 citations

Abstract

An analysis of the supercritical spreading of radial flow in a horizontal basin indicates that the variation of depth, velocity, and Froude number normalized by corresponding inlet values becomes independent of the inlet Froude number F0 when F0>5, both for inviscid and viscous flows. Assuming a linear variation of the hydrostatic pressure force along the hydraulic jump, a generalized equation for the sequent depth ratio is developed, which is valid for the free and submerged jumps both in radial and rectangular basins. This is simpler than existing equations and is verified with experimental data available in the literature. A new scale is proposed such that the sequent depth ratio for different F0 and the radius ratio collapse into a single line. A procedure to approximately locate the position of a free radial jump and determine the type of the jump is also described.

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What this paper is about

An analysis of the supercritical spreading of radial flow in a horizontal basin indicates that the variation of depth, velocity, and Froude number normalized by corresponding inlet values becomes independent of the inlet Froude number F0 when F0>5, both for inviscid and viscous flows. Assuming a linear variation of the hydrostatic pressure force along the hydraulic jump, a generalized equation for the sequent depth ratio is developed, which is valid for the free and submerged jumps both in radial and rectangular basins. This is simpler than existing equations and is verified with experimental data available in the literature. A new scale is proposed such that the sequent depth ratio for different F0 and the radius ratio collapse into a single line. A procedure to approximately locate the position of a free radial jump and determine the type of the jump is also described.

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Available abstract

An analysis of the supercritical spreading of radial flow in a horizontal basin indicates that the variation of depth, velocity, and Froude number normalized by corresponding inlet values becomes independent of the inlet Froude number F0 when F0>5, both for inviscid and viscous flows. Assuming a linear variation of the hydrostatic pressure force along the hydraulic jump, a generalized equation for the sequent depth ratio is developed, which is valid for the free and submerged jumps both in radial and rectangular basins. This is simpler than existing equations and is verified with experimental data available in the literature. A new scale is proposed such that the sequent depth ratio for different F0 and the radius ratio collapse into a single line. A procedure to approximately locate the position of a free radial jump and determine the type of the jump is also described.

Key concepts: Froude number, Hydraulic jump, Jump, Mechanics, Supercritical flow, Inviscid flow, RADIUS, Inlet

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