Generation of initial wavelets by instability of a coupled shear flow and their evolution to wind waves

Journal of Fluid Mechanics

Volumn 93, Issue 4, 1979, Pages 661-703

  Kawai, Sanshiro ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF WATER;

INITIAL WAVELETS; SHEAR FLOW;

WATER WAVES;

EID: 0018300326     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211207900197X     Document Type: Article

References (41)

1. Akaike, H. 1969 Power spetrum estimation through autoregresive model fitting. Ann. Inst. Statist. Math. 21, 407–419.
2. Akaike, H. 1970 Statistical predictor identification. Ann. Inst. Statist. Math. 22, 203–217.
3. Akaike, H. & Nakagawa, T. 1972 Statistical Analysis and Control of Dynamic Systems. Tokyo: Saiensu-Sha Press (in Japanese).
4. Benjamin, T. B. 1963 The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows. J. Fluid Mech. 16, 436–450.
5. Betchov, R. & Criminale, W. O. 1967 Stability of Parallel Flows. New York: Academic Press.
6. Burg, J. P. 1967 Maximum entropy spectral analysis. Paper presented at the 37th Ann. Int. Meet., Soc. Explor. Geophys., Oklahoma City.
7. Fleck, J. T. & Fryer, W. D. 1953 An exploration of numerical filtering techniques. Cornell Aero. Lab., Inc., Rep. no. XA-869-P-1.
8. Gaster, M. 1962 A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability. J. Fluid Mech. 14, 222–224.
9. Gersting, J. M. & Jankowski, D. F. 1972 Numerical methods for Orr-Sommerfeld problems. Int. J. Num. Methods Engng 4, 195–206.
10. Hidy, G. M. & Plate, E. J. 1966 Wind action on water standing in a laboratory channel. J. Fluid Mech. 26, 651–687.
11. Kaplan, R. E. 1964 The stability of laminar incompressible boundary layers in the presence of compliant boundaries. Mass. Inst. Tech. Aeroelastic & Structures Res. Lab., ASRL-TR 116–1.
12. Kawai, S. 1977a On the generation of wind waves relating to the shear flow in water-A preliminary study. Sci. Rep. Tohoku Univ. (5), Geophys. 24, 1–17.
13. Kawai, S. 1977b On the generation of wind waves. Ph.D. Dissertation, Tohoku Univ.
14. Kunishi, H. 1957 Studies on wind waves with use of wind flume. (I) On the shearing flow in the surface boundary layer caused by wind stress. Ann. Disas. Prev. Res. Inst., Kyoto Univ. 1, 119–127 (in Japanese).
15. Kunishi, H. 1959 On design of resistive wave meter. Ann. Disas. Prev. Res. Inst., Kyoto Univ. 3, 65–73 (in Japanese).
16. Kunishi, H. 1963 An experimental study on the generation and growth of wind waves. Disas. Prev. Res. Inst., Kyoto Univ., Bull. no. 61.
17. Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics (English edition). Pergamon Press.
18. Larnaes, G. 1976 Formation of wind waves. Tech. Univ. Denmark, Inst. Hydrody. & Hydraul. Engng Series paper 10.
19. 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.
20. Lock, R. C. 1954 Hydrodynamic stability of the flow in the laminar boundary layer between parallel streams. Proc. Camb. Phil. Soc. 50, 105–124.
21. Miles, J. W. 1957a On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185–204.
22. Miles, J. W. 1957b On the velocity profile for turbulent flow near a smooth wall. J. Aero. Sci. 24, 704.
23. Miles, J. W. 1960 On the generation of surface waves by turbulent shear flows. J. Fluid Mech. 7, 469–478.
24. Miles, J. W. 1962 On the generation of surface waves by shear flows. Part 4. J. Fluid Mech. 13, 433–448.
25. Mitsuyasu, H. & Honda, T. 1974 The high frequency spectrum of wind-generated waves. J. Oceanog. Soc. Japan 30, 185–198.
26. Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics (English edition), vol. 1, MIT Press, Mass., 769 pp.
27. Okuda, K., Kawai, S., Tokuda, M. & Toba, Y. 1976 Detailed observation of the wind-exerted surface flow by use of flow visualization methods. J. Oceanog. Soc. Japan 32, 53–64.
28. Okuda, K., Kawai, S. & Toba, Y. 1977 Measurement of skin friction distribution along the surface of wind waves. J. Oceanog. Soc. Japan 33, 190–198.
29. Phillips, O. M. 1957 On the generation of waves by turbulent wind. J. Fluld Mech. 2, 417–445.
30. Plant, W. J. & Wright, J. W. 1977 Growth and equilibrium of short gravity waves in a wind-wave tank. J. Fluid Mech. 82, 767–793.
31. Plate, E. J., Chang, P. C. & Hidy, G. M. 1969 Experiments on the generation of small water waves by wind. J. Fluid Mech. 35, 625–656.
32. Schubauer, G. B. & Skramstad, H. K. 1947 Laminar boundary-layer oscillations and stability of laminar flow. J. Aero Sci. 14, 69–78.
33. Shemdin, O. H. 1972 Wind-generated current and phase speed of wind waves. J. Phys. Oceanog. 2, 411–419.
34. Snyder, R. L. & Cox, C. S. 1966 A field study of the wind generation of ocean waves. J. Mar. Res. 24, 141–178.
35. Stewart, R. W. 1974 The air-sea momentum exchange. Boundary-Layer Met. 6, 151–167.
36. Toba, Y. 1978a Stochastic form of the growth of wind waves in a single-parameter representation with physical interpretation. J. Phys. Oceanog. 8, 494–507.
37. Toba, Y. 1978b Study on wind waves as a strongly nonlinear phenomenon. To be published in Proc. 12th Symp. Naval Hydrodyn. Nat. Acad. Sci., Washington D.C.
38. Toba, Y., Tokuda, M., Okuda, K. & Kawai, S. 1975 Forced convection accompanying wind waves. J. Oceanog. Soc. Japan 31, 192–198.
39. Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
40. Ulrych, T. J. & Bishop, T. N. 1975 Maximum entropy spectral analysis and autoregressive decomposition. Rev. Geophys. Space Phys. 13, 183–200.
41. Valenzuela, G. R. 1976 The growth of gravity-capillary waves in the coupled shear flow. J. Fluid Mech. 76, 229–250.