Interfacial Stability in Stratified Channel Flows
Publication: Journal of Hydraulic Engineering
Volume 115, Issue 9
Abstract
Experimental results are presented which show that the onset of interfacial instability can be described by an empirical stability equation derived from interfacial mixing experiments. Also, new theoretical stability equations are derived using standard velocity distribution equations applied to the interfacial zone. These theoretical equations compare favorably with stability conditions predicted by the empirical equation, especially at high Reynolds numbers.
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References
1.
Abraham, G., and Eysink, W. D. (1971). “Magnitude of interfacial shear in exchange flows.” J. Hydr. Res., 9(2), 125–151.
2.
Abraham, G., Karelse, M., and van Os, A. G. (1979). “On the magnitude of interfacial shear of subcritical stratified flows in relation with interfacial stability.” J. Hydr. Res., 17(4), 273–287.
3.
Brunt, D. (1927). “The period of simple vertical oscillations of the atmosphere.” Quart. J. Royal Meteorological Soc., 53(1), 30–32.
4.
Csanady, G. T. (1978). “Turbulent interface layers.” J. Geophysical Res., 83(C5), 2329–2342.
5.
Dermissis, V., and Partheniades, E. (1984). “Interfacial resistance in stratified flows.” J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 110(2), 231–250.
6.
Drazin, P. G. (1958). “Stability of a shear layer in an unbounded heterogeneous inviscid fluid.” J. Fluid Mech., 4(2), 214–224.
7.
French, R. H. (1979). “Interfacial stability in channel flow.” J. Hydr. Div., ASCE, 105(8), 955–967.
8.
Goldstein, S. (1931). “On the stability of superposed streams of fluid of different densities.” Proc., Royal Soc. of London, Vol. 132A, London, U.K., 524–549.
9.
Groen, P. (1948). “Two fundamental theorems on gravity waves in inhomogeneous incompressible fluids.” Physica, XIV(5), 294–300.
10.
Grubert, J. P. (1980). “Experiments on arrested saline wedge.” J. Hydr. Div., ASCE, 106(6), 945–960.
11.
Grubert, J. P. (1989). “Interfacial mixing in stratified channel flows.” J. Hydr. Engrg., ASCE, 115(7), 887–905.
12.
Hazel, P. (1972). “Numerical studies of the stability of inviscid stratified shear flows.” J. Fluid Mech., 51(1), 39–61.
13.
Heyna, B., and Groen, P. (1958). “On short‐period internal gravity waves.” Physica, 24(1), 383–389.
14.
Ippen, A., and Harleman, D. (1952). “Steady‐state characteristics of subsurface flow.” Contribution No. 12, Gravity Waves, U.S. Nat. Bureau of Standards Circular, 521, 79–93.
15.
Jeffreys, H. (1925). “On the formation of water waves by wind.” Proc., Royal Soc. of London, Vol. 107A, London, U.K., 189–206.
16.
Keulegan, G. H. (1949). “Interfacial instability and mixing in stratified flows.” Res. Paper RP2040, U.S. Nat. Bureau of Standards, 43, 487–500.
17.
Lamb, H. (1945). Hydrodynamics. 6th Ed., Dover Publications, New York, N.Y., 369–372.
18.
Lee, F. A. (1974). “Hydrodynamical stability of salt wedge.” J. Hydr. Div., ASCE, 100(1), 17–24.
19.
Lofquist, L. (1960). “Flow and stress near an interface between stratified liquids.” The Physics of Fluids, 3(2), 158–175.
20.
Miles, J. W. (1961). “On the stability of heterogeneous shear flows.” J. Fluid Mech., 10(4), 496–508.
21.
Miles, J., and Howard, L. (1964). “Note on a heterogeneous shear flow.” J. Fluid Mech., 20(2), 331–336.
22.
Phillips, O. M. (1963). “On the attenuation of long gravity waves by short breaking waves.” J. Fluid Mech., 16(3), 321–332.
23.
Plate, E. J., and Friedrich, R. (1975). “The stability of an interface in stratified channel flow.” Proc., 16th Congress of the Int. Assoc of Hydr. Res., 3, San Paulo, Brazil, 9–21.
24.
Rumer, R. R., Jr. (1973). “Interfacial wave breaking in stratified liquids.” J. Hydr. Div., ASCE, 99(3), 509–524.
25.
Sherenkov, I. A., Netjukhailo, A. P., and Teleshkin, E. D. (1971). “Research investigation of transfer process in two‐dimensional stratified flow.” Proc., 14th Congress of Int. Assoc. of Hydr. Res., 1, Paris, France, A26/1–9.
26.
Taylor, G. I. (1931). “Effect of variation in density on the stability of superposed streams of fluid.” Proc., Royal Soc. of London, Vol. 132A, London, U.K., 499–523.
27.
Thorpe, S. A. (1969). “Neùtral eigensolution of the stability equation for stratified shear flow.” J. Fluid Mech., 36(4), 673–683.
28.
Väisälä, V. (1925). “Uber die Wirkung der Windschwankungen auf die Pilotbeobachtungen.” Soc. Sci. Fennica, Comm. Phys.‐Math., 2(19), 1–46 (in German).
29.
Wu, J. (1975). “Wind induced drift currents.” J. Fluid Mech., 68(1), 49–70.
30.
Yih, C. S. (1965). Dynamics of nonhomogeneous fluids. The MacMillan Co., New York, N.Y.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 115 • Issue 9 • September 1989
Pages: 1185 - 1203
Copyright
Copyright © 1989 ASCE.
History
Published online: Sep 1, 1989
Published in print: Sep 1989
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