Bow flows with surface tension

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1952, 1996, Pages 1985-1997

  Andersson, C D ^a   Vanden Broeck J M ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000970404     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0105     Document Type: Article

References (16)

1. Chen, B. & Saffman, P. G. 1980 Steady gravity-capillary waves on deep water. II. Numerical results for finite amplitude. Stud. Appl. Math. 62, 95-111.
2. Crapper, G. D. 1957 An exact solution for progressive capillary waves of arbitrary amplitude. J. Fluid Mech. 2, 532-540.
3. Forbes, L. K. 1983 Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension. J. Fluid Mech. 127, 283-297.
4. Hogan, S. J. 1979 Some effects of surface tension on steep water waves. J. Fluid Mech. 91, 167-180.
5. Kinnersley, W. 1976 Exact large amplitude capillary waves on sheets of fluid. J. Fluid Mech. 77, 229-241
6. Rayleigh, Lord 1883 The form of standing waves on the surface of running water. Proc. Land. Math. Soc. 15, 69-78.
7. Schwartz, L. W. & Vanden-Broeck, J.-M. 1979 Numerical solution of the exact equations for capillary-gravity waves. J. Fluid Mech. 95, 119-139
8. Slezkin, N. A. 1935 Sur les ondes capillaires permanentes. C.R. Acad. Sci. Paris 201, 707-709.
9. Vanden-Broeck, J.-M. 1980a Nonlinear stern waves. J. Fluid Mech. 96, 603-611.
10. Vanden-Broeck, J.-M. 19806 Non-linear gravity-capillary stern waves. Phys. Fluids 23, 1949-1953.
11. Vanden-Broeck, J.-M. 1981 The influence of capillarity on cavitating flow past a flat plate. Q. Jl Mech. Appl. Math. 34, 465-473.
12. Vanden-Broeck, J.-M. 1984 Rising bubbles in a two-dimensional tube with surface tension. Phys. Fluids 27, 2604-2607.
13. Vanden-Broeck, J.-M. 1991 Cavitating flow of a fluid with surface tension past a circular cylinder. Phys. Fluids A3, 263-266.
14. Vanden-Broeck, J.-M. 1992 Rising bubble in a two-dimensional tube: asymptotic behavior for small values of the surface tension. Phys. Fluids A4, 2332-2334.
15. Vanden-Broeck, J.-M. & Dias, F. 1992 Gravity-capillary solitary waves in water of infinite depth and related free-surface flows. J. Fluid Mech. 240, 549-557.
16. Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. In Handbuch der Physik (ed. C. Truesdell), vol. IX (Stroemungsmechanik HI), pp. 446-778. Springer.