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Applied Mechanics

Western University

Circular continuous hydraulic jump

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Full-Text Articles in Mechanical Engineering

Impinging Jet Flow And Hydraulic Jump Of Newtonian And Viscoplastic Liquids, Wenxi Wang Sep 2023

Impinging Jet Flow And Hydraulic Jump Of Newtonian And Viscoplastic Liquids, Wenxi Wang

Electronic Thesis and Dissertation Repository

The steady laminar incompressible flow of an axisymmetric impinging jet of either a Newtonian fluid or a viscoplastic fluid of the Heschel-Bulkley type and the hydraulic jump of either a circular or polygonal shape on a solid disk is analyzed. The polygonal jump is induced by azimuthal dependence edge conditions: a non-circular disk or a circular disk with a variable edge film thickness. The thin-film and Kármán–Pohlhausen approaches are utilized as theoretical tools.

To cross the jump smoothly, a composite mean-field thin-film approach is proposed. The stress singularity for a film freely draining at the disk edge is found to …