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On Internal Hydraulics with Entrainment

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  • 1 Institute of Ocean Sciences, Sidney, British Columbia, Canada
  • | 2 Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia, Canada
  • | 3 Institute of Ocean Sciences, Sidney, British Columbia, Canada
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Abstract

The hydraulics of a single layer flow with entrainment is examined with a reduced-gravity model. Expressions are derived for the local change of Froude number and layer thickness as a function of the entrainment velocity. It is shown that entrainment, like friction, acts to force the flow toward criticality, although the layer thickness can increase if the Froude number is smaller than 1/2. For certain Froude numbers the effects of friction and entrainment on the layer thickness and the hydraulic state of the flow are found to be of comparable magnitude.

Corresponding author address: Frank Gerdes, Institute of Ocean Sciences, P.O. Box 6000, Sidney, BC V8L 4B2, Canada. Email: gerdesf@dfo-mpo.gc.ca

Abstract

The hydraulics of a single layer flow with entrainment is examined with a reduced-gravity model. Expressions are derived for the local change of Froude number and layer thickness as a function of the entrainment velocity. It is shown that entrainment, like friction, acts to force the flow toward criticality, although the layer thickness can increase if the Froude number is smaller than 1/2. For certain Froude numbers the effects of friction and entrainment on the layer thickness and the hydraulic state of the flow are found to be of comparable magnitude.

Corresponding author address: Frank Gerdes, Institute of Ocean Sciences, P.O. Box 6000, Sidney, BC V8L 4B2, Canada. Email: gerdesf@dfo-mpo.gc.ca

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