Effects of surface film on the linear stability of an air-sea interface

Journal of Fluid Mechanics

Volumn 357, Issue , 1998, Pages 59-81

  Saetra, Øyvind ^a,b  

^a UNIVERSITY OF OSLO   (Norway)

^b NORWEGIAN METEOROLOGICAL INSTITUTE   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; CHANNEL FLOW; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMERICAL METHODS; PHASE INTERFACES; PROBLEM SOLVING; STRESS ANALYSIS; SURFACE WATERS; TURBULENT FLOW;

REYNOLDS STRESSES;

SHEAR FLOW;

EID: 0031998058     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209700801X     Document Type: Article

References (29)

1. ALPERS, W. & HÜHNERFUSS, H. 1989 The damping of ocean waves by surface films, a new look at an old problem. J. Geophys. Res. 94, 6251-6265.
2. BENJAMIN, T. B. 1958 Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161-205.
3. CREAMER, D. B. & WRIGHT, J. A. 1992 Surface films and wind wave growth. J. Geophys. Res. 97, 5221-5229.
4. DAVEY, A. 1979 On the removal of the singularities from the Riccati method. J. Comput. Phys. 30, 137-144.
5. DONELAN, M. A. & PIERSON, W. J. 1987 Radar scattering and equilibrium ranges in wind-generated waves with application to scatterometry. J. Geophys. Res. 92, 4971-5029.
6. DORRESTEIN, R. 1951 General linearized theory of the effect of surface films on water ripples. Proc. K. Ned. Akad. Wet. B: Palaeontol. Geol. Phys. Chem. Anthropol. 54, 260-272, 350-356.
7. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
8. DUIN, C. A. VAN & JANSSEN, P. A. E. M. 1992 An analytic model of the generation of surface waves by turbulent air flow. J. Fluid Mech. 236, 197-215.
9. DYSTHE, K. & RABIN, Y. 1986 Damping of short waves by insoluble surface films. In ONRL Workshop Proc.: the Role of Surfactant Films on the Interfacial Properties of the Sea Surface (ed. F. L. Herr & J. Williams), pp. 187-213. US Office of Naval Research.
10. GASTEL, K. VAN, JANSSEN, P. A. E. M. & KOMEN, J. 1985 On phase velocity and growth rate of wind-induced gravity-capillary waves. J. Fluid Mech. 161, 199-216.
11. GOTTIFREDI, J. C. & JAMESON, G. J. 1970 The growth of short waves on liquid surfaces under the action of a wind. Proc. R. Soc. Lond. A 319, 373-397.
12. HERR, F. L. & WILLIAMS, J. (Eds.) 1986 ONRL Workshop Proc.: Role of Surfactant Films on the Interfacial Properties of the Sea Surfaces. US Office of Naval Research.
13. HÜHNERFUSS, H., LANGE, P. A. & WALTER, W. 1985 Relaxation effects in monolayers and their contribution to water wave damping, part II. J. Colloid Interface Sci. 108, 442-450.
14. JACOBS, S. J. 1987 An asymptotic theory for turbulent flow over a progressive water wave. J. Fluid Mech. 174, 69-80.
15. KAWAI, S. 1979 Generation of initial wavelets by instability of a coupled shear flow and their evolution to wind waves. J. Fluid Mech. 93, 661-703.
16. LAMB, H. Hydrodynamics, 6th ed. Cambridge University Press.
17. LARSON, T. R. & WRIGHT, J. W. 1975 Wind-generated gravity-capillary waves: laboratory measurements of temporal growth rates using microwave backscatter. J. Fluid Mech. 70, 417-436.
18. LUCASSEN, J. 1982 Effect of surface-active material on the damping of gravity waves: a reappraisal. J. Colloid Interface Sci. 85, 52-58.
19. MILES, J. W. 1957a On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185-204.
20. MILES, J. W. 1957b On the velocity profile for turbulent flow near a smooth wall. J. Aero. Sci. 24, 704.
21. MILES, J. W. 1962 On the generation of surface waves by shear flows. Part 4. J. Fluid Mech. 13, 433-438.
22. MILES, J. W. 1993 Surface-wave generation revisited. J. Fluid Mech. 256, 427-441.
23. NG, B. S. & REID, W. H. 1979 An initial value method for eigenvalue problems using compound matrices. J. Comput. Phys. 30, 125-136.
24. PHILLIPS, O. M. 1977 The Dynamics of the Upper Ocean. Cambridge University Press.
25. PLUTARCH 95 AD Historia Naturalis, book 2, chapter 106.
26. QUARMBY, A. & ANAND, R. K. 1969 Axisymmetric turbulent mass transfer in a circular tube. J. Fluid Mech. 38, 433-455.
27. SCOTT, J. C. 1977 The historical development of theories of wave-calming using oil. Hist. Technol. 3, 163-186.
28. WEBER, J. E. & SAETRA, Ø. 1995 Effect of film elasticity on the drift velocity of capillary-gravity waves. Phys. Fluids 7, 307-314.
29. WHELESS, G. H. & CSANADY, G. T. 1993 Instability waves on the air-sea interface. J. Fluid Mech. 248, 363-381.