Interfacial Resistance in Stratified Flows
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 110, Issue 2
Abstract
The interfacial friction coefficients in a two‐layered stratified flow have been studied in a closed 15 m long rectangular duct with fresh water flowing over a quasi‐stagnant salt water pool. A one‐dimensional flow model along Schijf‐Schoenfeld's line for open channels was developed and used. The average interfacial friction coefficient was found to be best correlated with the number in which R and F are the Reynolds and Froude numbers respectively, and with the relative density difference used as an independent parameter. There is dose agreement with re‐analyzed data from an earlier study while one data point from the Mississippi estuary falls on a smooth extrapolation of the appropriate curve. The interfacial friction coefficient cannot be uniquely correlated with either the Reynolds number or the Froude number or the Keulegan number. This is in agreement with the results of a literature review on the subject.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abraham, G., and Eysink, W. L., “Magnitude of Interfacial Shear in Exchange Flow,” Journal of Hydraulic Research, I.A.H.R., Vol. 9, No. 2, 1971.
2.
Averkiev, A. G., and Kind, K. J., “Etudes Experimentales de Certaines Characteristiques des Courants de Densité,” Proceedings, 11th Congress of the internationl Association of Hydraulic Research, Vol. II, Paper 2.23, Leningrad, U.S.S.R.
3.
Bata, G. L., and Knezevich, B., “Some Observations on Density Currents in the Laboratory and in the Field,” Proceedings, Minn. International Hydraulic Convention, Sept., 1953, pp. 387–400.
4.
“Momentum and Mass Transfer in Stratified Flows,” Report on Literature Study, R 880, Delft Hydraulics Laboratory, Delft, Netherlands, Dec., 1974.
5.
Dermissis, V., “A Study of the Interfacial Friction Coefficient in a System of Two Fluids,” dissertation submitted to the School of Engineering of the Aristoteles University of Thessaloniki, Greece, in fulfillment of the requirements for the degree of Doctor in Civil Engineering (in Greek).
6.
Georgiev, B. V., “Some Experimental Investigation on Turbulent Characteristics of Stratified Flows,” Proceedings, International Symposium on Stratified flows, Novosibirsk, U.S.S.R., Sept., 1972, pp. 507–515.
7.
Harleman, D. R. F., and Stolzenbach, K. D., “Fluid Mechanics of Heat Disposal from Power Generation,” Annual Review of Fluid Mechanics, Vol. 4, 1972, pp. 7–32.
8.
Ippen, A. T., and Harleman, D. R. F., “Steady State Characteristics of Subsurface Flow,” Circular No. 521 (Gravity Waves), U.S. Dept. of Commerce National Bureau of Standards, Washington, D.C., 1957, pp. 79–93.
9.
Iwasaki, T., “On the Shear Stress at the Interface and its Effects in the Stratified Flow,” Proceedings of the 9th Coastal Engineering Conference, Lisbon, Portugal, 1964, pp. 879–892.
10.
Keulegan, G. H., “Interfacial Stability and Mixing in Stratified Flows,” Research Paper 2040, U.S. National Bureau of Standards, Vol. 43, Washington, D.C., 1949, pp. 487–500.
11.
Keulegan, G. H., “Eighth Progress Report for Density Currents—Significant Stresses of Arrested Saline Wedges,” Rept. No. 4267, National Bureau of Standards, Aug., Washington, D.C., 1955.
12.
Keulegan, G. H., “The Mechanics of an Arrested Saline Wedge,” Ch. 11, Estuary and Coastline Hydrodynamics, A. T. Ippen, ed., McGraw‐Hill, New York, N.Y., 1966.
13.
Lofquist, K., “Flow and Stress Near an Interface between Stratified Liquids,” Physics of Fluids, Vol. 3, 1960, pp. 158–175.
14.
Macagno, E. O., and Rouse, H., “Interfacial Mixing in Stratified Flows,” Transactions, ASCE, Vol. 127, 1962, pp. 102–127.
15.
Partheniades, E., and Dermissis, V., “Interfacial Friction Coefficients in a Two‐Layered Stratified Flow,” Proceedings, 16th Coastal Engineering Conference, Vol. 3, Ch. 170, Hamburg, Germany, Aug. 28–Sept. 1, 1978, pp. 2778–2797.
16.
Partheniades, E., Dermissis, V., and Mehta, A. J., “On the Shape and Interfacial Resistance of Arrested Saline Wedges,” Proceedings, 16th Congress of International Association of Hydraulic Research, San Paulo, Brazil, July 28–Aug. 2, 1975, Vol. I., Paper A‐19, pp. 157–164.
17.
Plate, E., and Friedrich, R., “The Stability of an Interface in Stratified Channel Flow,” Proceedings, 15th Congress of International Association of Hydraulic Research, San Paulo, Brazil, Vol. 3, July 28–Aug. 2, 1975, pp. 9–21.
18.
Polk, E. M., Barry, A., and Benedict, A. M., “Cooling Water Density Wedges in Streams,” Journal of the Hydraulics Division, ASCE, Vol. 97, No. HY10, Oct., 1971, pp. 1635–1652.
19.
Riddell, J. F., “Densimetric Exchange Flow in Rectangular Channels. IV—The Arrested Saline Wedge,” La Houille Blanche, Vol. 25, No. 4, 1971, pp. 317–330.
20.
Shi‐Igai, H., “On the Resistance Coefficient at the Interface between Salt and Fresh Water,” Transactions, Japan Society of Civil Engineers, No. 123, Nov., 1965, pp. 27–31.
21.
Shi‐Igai, H., and Kono, T., “On the New Formula on the Shape of Saline Wedges,” Tech. Paper No. 1, Dept. of Civil Engrg., Tokyo Institute of Technology, Tokyo, Japan, Mar., 1966, pp. 14–20.
22.
Schijf, J. B., and Schoenfeld, J. C., “Theoretical Considerations on the Motion of Salt and Fresh Water,” Proceedings, Minn. International Hydraulics Convention, Sept., 1953, pp. 321–333.
23.
Schlichting, H., Boundary Layer Theory, McGraw‐Hill, New York, N.Y., 1960.
24.
Sherenkov, I. A., Netjukhailo, A. P., and Teleshkin, E. A., “Research Investigation of Transfer Process in Two‐Dimensional Stratified Flow,” Proceedings, 14th Congress of the International Association of Hydraulics Research, Vol. 1, Paris, France, 1971, pp. A26, 1–9.
Information & Authors
Information
Published In
Copyright
Copyright © 1984 ASCE.
History
Published online: May 1, 1984
Published in print: May 1984
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.