Shapes of two-dimensional bubbles deformed by circulation

Nonlinearity

Volumn 13, Issue 6, 2000, Pages 2131-2141

  Wegmann, Rudolf ^a   Crowdy, Darren ^b  

^a MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034311296     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/6/313     Document Type: Article

References (11)

1. Chow S-N and Hale J K 1982 Methods of Bifurcation Theory (Berlin: Springer)
2. Crapper G D 1957 An exact solution for progressive capillary waves of arbitrary amplitude J. Fluid Mech. 2 532
3. Crowdy D 1999 Circulation-induced shape deformations of drops and bubbles: exact two-dimensional models Phys. Fluids 11 2836
4. Crowdy D 2000 A new approach to free surface Euler flows with surface tension Stud. Appl. Math. 105 35-58
5. Longuet-Higgins MS 1988 Limiting forms of capillary-gravity waves J. Fluid Mech. 194 351
6. McLeod E B Jr 1955 The explicit solution of a free boundary problem involving surface tension J. Rat. Mech. Analysis 4 557-67
7. Rayleigh J W S 1879 On the capillary phenomena of jets Proc. R. Soc. 29 71
8. Shankar P N 1991 Exact solutions for a class of nonlinear free surface flows Proc. R. Soc. 434 677-82
9. Tanveer S 1996 Some analytical properties of solutions to a two-dimensional steadily-translating bubble 452 1397-4110
10. Vanden-Broeck J M and Keller J B 1980 Bubble or drop distortion in a straining flow in two dimension Phys. Fluids 23 1491
11. Wegmann R 1999 Two plane free boundary problems with surface tension Proc. Conf. Comput. Math, Function Theory (CMFT '97) ed N Papamichael, St Ruscheweyh and E B Saff pp 617-33