Averaging Theory for the Structure of Hydraulic Jumps and Separation in Laminar Free-Surface Flows

Journal Article · Fri Aug 01 00:00:00 EDT 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.1038· OSTI ID:528140

Bohr, T; Putkaradze, V; Watanabe, S ^[1]

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1. Center for Chaos Turbulence Studies, Niels Bohr Institute, Blegdamsvej 17, Copenhagen, 2100 (Denmark)

We present a simple viscous theory of free-surface flows in boundary layers, which can accommodate regions of separated flow. In particular, this yields the structure of stationary hydraulic jumps, both in their circular and linear versions, as well as structures moving with a constant speed. Finally, we show how the fundamental hydraulic concepts of subcritical and supercritical flow, originating from inviscid theory, emerge at intermediate length scales in our model. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 528140
• Journal Information: Physical Review Letters, Vol. 79, Issue 6; Other Information: PBD: Aug 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY LAYERS
FLUID FLOW
HYDRAULICS
BOUNDARY CONDITIONS
SURFACES
NAVIER-STOKES EQUATIONS
VISCOSITY