On the question of non-uniqueness of internal hydraulic jumps and drops in a two-fluid system

Tellus ◽  
1973 ◽  
Vol 25 (6) ◽  
pp. 560-567 ◽  
Author(s):  
S. C. Mehrotra ◽  
R. E. Kelly
Keyword(s):  
Hydraulic Jumps ◽  
Fluid System ◽  
Two Fluid

scholarly journals Stability of a sloping interface in a rotating two-fluid system

Tellus ◽  
1970 ◽  
Vol 22 (5) ◽  
pp. 493-503 ◽  
Author(s):  
Desiraju B. Rao ◽  
T. J. Simons
Keyword(s):  
Fluid System ◽  
Two Fluid

Wave diffraction in a two-fluid system

1969 ◽  
Vol 36 (1) ◽  
pp. 65-73 ◽  
Author(s):  
R. E. Kelly
Keyword(s):  
Approximate Solution ◽  
Surface Wave ◽  
Wave Diffraction ◽  
Bottom Topography ◽  
Density Ratio ◽  
Frequency Parameter ◽  
Step Change ◽  
Shallow Water Theory ◽  
Fluid System ◽  
Two Fluid

Wave diffraction due to a step change in bottom topography is considered for the case of two superimposed fluids of different, but constant, densities. The interface lies below the upper surface of the step. Shallow water theory is shown to be applicable only if the ratio of a non-dimensional frequency parameter to the departure of the density ratio from unity is sufficiently small. An approximate solution of the full equations, obtained by a method applied by Miles (1967) to surface wave diffraction, yields results limited only by the condition that the frequency parameter be small.

Energy balances for axisymmetric gravity currents in homogeneous and linearly stratified ambients

2008 ◽  
Vol 616 ◽  
pp. 303-326 ◽  
Author(s):  
MARIUS UNGARISH ◽  
HERBERT E. HUPPERT
Keyword(s):  
High Reynolds Number ◽  
Gravity Current ◽  
Water Model ◽  
Navier Stokes ◽  
Shallow Water Model ◽  
Fluid System ◽  
Dense Fluid ◽  
High Reynolds ◽  
Energy Balances ◽  
Two Fluid

We analyse the exchange of energy for an axisymmetric gravity current, released instantaneously from a lock, propagating over a horizontal boundary at high Reynolds number. The study is relevant to flow in either a wedge or a full circular geometry. Attention is focused on effects due to a linear stratification in the ambient. The investigation uses both a one-layer shallow-water model and Navier–Stokes finite-difference simulations. There is fair agreement between these two approaches for the energy changes of the dense fluid (the current). The stratification enhances the accumulation of potential energy in the ambient and reduces the energy decay (dissipation) of the two-fluid system. The total energy of the axisymmetric current decays considerably faster with distance of propagation than for the two-dimensional counterpart.

Limitations on the existence of shock solutions in a two-fluid system

Tellus ◽  
1973 ◽  
Vol 25 (2) ◽  
pp. 169-173 ◽  
Author(s):  
S. C. Mehrotra
Keyword(s):  
Fluid System ◽  
Two Fluid
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