Numerical simulations of sink flow in the Hele-Shaw cell with small surface tension

European Journal of Applied Mathematics

Volumn 8, Issue 6, 1997, Pages 533-550

  Kelly, E D ^a   Hinch, E J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031320751     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792597003203     Document Type: Article

References (14)

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10. RICHARDSON, S. (1994) Hele-Shaw flows with time-dependent free boundaries in which the fluid occupies a multiply-connected region. Euro. J. Applied Math. 5, 97-122.
11. SAFFMAN, P. G. & TAYLOR, G. I. (1958) The penetration of a fluid into porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. R. Soc. A 245, 312-329.
12. SIEGEL, M. & TANVEER, S. (1996) Singular perturbation of smoothly Hele-Shaw solutions. Phys. Rev. Lett. 76, 419-422.
13. SIEGEL, M., TANVEER, S. & DAI, W.-S. (1996) Singular perturbation of smoothly evolving zero surface tension solutions in a Hele-Shaw cell - comparison between asymptotics and numerics. J. Fluid Mech. 323, 201-236.
14. TANVEER, S. (1993) Evolution of Hele-Shaw interface for small surface tension. Phil. Trans. R. Soc. Lond. A 343, 155-204.