Abstract
Abstract
Highlights
Hydraulic jumps are among the most iconic phenomena in fluid dynamics, found in a variety of situations ranging from thin films and kitchen sinks to large-scale open channels
Continuous hydraulic jumps in laminar channel flow the subcritical branch s−(h)
The hydraulic jumps in laminar or moderately turbulent open channel flow have been captured, complete with their mean-field shock structure, as stationary solutions of the generalized Saint-Venant equations
Summary
Hydraulic jumps are among the most iconic phenomena in fluid dynamics, found in a variety of situations ranging from thin films and kitchen sinks to large-scale open channels. The present paper deals with jumps on the intermediate scale where surface tension becomes insignificant, leaving gravitational and viscous effects as the two main factors Such jumps may be encountered in irrigation ditches or tilted channels on the laboratory scale under laminar or moderately turbulent flow conditions. This constitutes an extension of the classical first-order ‘backwater equation’ used to describe gradually varied flow (Rouse 1946).
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