A stationary circular hydraulic jump, the limits of its existence and its gasdynamic analogue

Aslan Kasimov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We propose a theory of a steady circular hydraulic jump based on the shallow-water model obtained from the depth-averaged Navier-Stokes equations. The flow structure both upstream and downstream of the jump is determined by considering the flow over a plate of finite radius. The radius of the jump is found using the far-field conditions together with the jump conditions that include the effects of surface tension. We show that a steady circular hydraulic jump does not exist if the surface tension is above a certain critical value. The solution of the problem provides a basis for the hydrodynamic stability analysis of the hydraulic jump. An analogy between the hydraulic jump and a detonation wave is pointed out.

Original languageEnglish (US)
Pages (from-to)189-198
Number of pages10
JournalJournal of Fluid Mechanics
Volume601
DOIs
StatePublished - Apr 25 2008

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Condensed Matter Physics

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