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A note on the flow of a homogeneous intrusion into a two-layer fluid

  • G. C. HOCKING (a1) and L. K. FORBES (a2)

Abstract

The intrusion of a constant density fluid at the interface of a two-layer fluid is considered. Numerical solutions are computed for a model of a steady intrusion resulting from flow down a bank and across a broad lake or reservoir. The incoming fluid is homogeneous and spreads across the lake at its level of neutral buoyancy. Solutions are obtained for a range of different inflow angles, flow rate and density differences. Except in extreme cases, the nature of the solution is predicted quite well by linear theory, with the wavelength at any Froude number given by a dispersion relation and wave steepness determined largely by entry angle. However, some extreme solutions with rounded meandering flows and non-unique solutions in the parameter space are also obtained.

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[1]Benjamin, T. B. (1968) Gravity Currents and related phenomena. J. Fluid Mech. 31, 209248.
[2]Flynn, M. R. & Sutherland, B. R. (2004) Intrusive gravity currents and internal gravity wave generation in stratified fluid. J. Fluid Mech. 514, 327353.
[3]Forbes, L. K., Hocking, G. C. & Farrow, D. E. (2006) An intrusion layer in stationary incompressible fluid: Part 1: Period waves. Eur. J. Appl. Maths 17, 557575.
[4]Forbes, L. K. & Hocking, G. C. (2007) An intrusion layer in stationary incompressible fluid: Part 2: A solitary wave. Eur. J. Appl. Maths 17, 577595.
[5]Grundy, I. H. & Tuck, E. O. (1987) Waves on a static water surface beneath a layer of moving air. J. Fluid. Mech. 178, 441457.
[6]Hebbert, R., Imberger, J., Loh, I. & Patterson, J. (1979) Collie River flow into the Wellington Reservoir. J. Hydr. Div., ASCE 105, 533545.
[7]Manins, P. C. (1976) Intrusion into a stratified fluid}. J. Fluid. Mech. 74, 547560.
[8]Mehta, A. P., Sutherland, B. R. & Kyba, P. J. (2002) Interfacial gravity waves II Wave excitation. Phys. Fluids 14, 35583569.
[9]Nield, S. E. & Woods, A. W. (2004) Effects of flow density on the dynamics of dilute pyroclastic density currents. J. Volcanol. Geotherm. Res. 132, 269281.
[10]Parau, E. & Dias, F. (2001) Interfacial periodic waves of permanent form with free-surface boundary conditions. J. Fluid Mech. 437, 325336.
[11]Sutherland, B. R., Kyba, P. J. & Flynn, M. R. (2004) Intrusive gravity currents in two-layer fluids. J. Fluid Mech. 514, 327353.

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