Capillary gravity waves: A "fixed-depth" analysis

Europhysics Letters

Volumn 61, Issue 6, 2003, Pages 796-802

  Chevy, F ^a   Raphael E ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037345427     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00304-5     Document Type: Review

References (17)

1. LIGHTHILL J., in Waves in Fluids (Cambridge University Press) 1978.
2. LORD KELVIN, Proc. R. Soc. London, Ser. A, 42 (1887) 80.
3. See, e.g., DEBNATH L., in Nonlinear Water Waves (Academic Press Inc., San Diego) 1994.
4. c.
5. RAPHAËL E. and DE GENNES P. G., Phys. Rev. E, 53 (1996) 3448.
6. BROWAEYS J., BACRI J.-C., PERZYNSKI R. and SHLIOMIS M., Europhys. Lett., 53 (2001) 209.
7. BURGHELEA T. and STEINBERG V., Phys. Rev. Lett., 86 (2001) 2557.
8. We shall see later that the comparison of the data from [6] and the theoretical prediction requires some care, and the experimental observation of a discontinuous behaviour of the wave-resistance is not a proof of the validity of eq. (1).
9. SUN SHU-MING and KELLER J., Phys. Fluids, 13 (2001) 2146.
10. Not that this assumption is not entirely correct in the presence of viscosity since it leads to a slip of the object with respect to the fluid surface. In this case, a force field parallel to the free surface should also be added. However, this new term leads to the usual Stokes drag, that is subtracted from experimental results, and so can be omitted in our analysis.
11. This latter hypothesis is not too restrictive in the case of very small object.
12. This generalizes the 2D result of RICHARD D. and RAPHAËL E., Europhys. Lett., 48 (1999) 53.
13. HAVELOCK T. H., Proc. R. Soc. London, Ser. A, 95 (1918) 354.
14. c.
15. See, e.g. RILEY K. F., HOBSON M. P. and BENCE S. J., in Mathematical Methods for Physics and Engineering (Cambridge University Press) 1998.
16. A more precise evaluation of the validity range would require to know the actual shape of π̂ and its evolution with the object velocity.
17. BURGHELEA T. and STEINBERG V., Phys. Rev. E, 66 (2002) 051204.