Computation of the pressure inside bubbles and pores in Stokes flow

Journal of Fluid Mechanics

Volumn 474, Issue , 2003, Pages 319-337

  Pozrikidis, C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); COMPUTER SIMULATION; DENSITY OF LIQUIDS; INTEGRAL EQUATIONS; NUMERICAL METHODS; PRESSURE MEASUREMENT;

STOKES FLOW;

COMPUTATIONAL FLUID DYNAMICS;

BUBBLE; PORE PRESSURE; PRESSURE; STOKES FLOW;

EID: 0037428266     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112002002641     Document Type: Article

References (18)

1. CROWDY, D. 2003a Compressible bubbles in Stokes flow. J. Fluid Mech. (to appear).
2. CROWDY, D. 2003b Viscous sintering of unimodal and bimodal cylindrical packings with shrinking pores. Eur. J. Appl. Maths (to appear).
3. 3. Revue Française d'Automatique. Informatique, Recherche Opérationelle: Analyse Numérique R3 7, 105-129.
4. POWER, H. 1992 The low Reynolds-number deformation of a gas bubble in shear flow - a general approach via integral equations. Engng Anal. Bound. Elem. 9, 31-37.
5. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
6. POZRIKIDIS, C. 1997 Introduction to Theoretical and Computational Fluid Dynamics. Oxford University Press.
7. POZRIKIDIS, C. 2001a Expansion of a compressible bubble in Stokes flow. J. Fluid Mech. 442, 171-189.
8. POZRIKIDIS, C. 2001b Effect of surfactants on the stability and rheology of emulsions and foam. J. Engng Maths 41, 237-258.
9. POZRIKIDIS, C. 2001c Interfacial dynamics for Stokes flow. J. Comput. Phys. 169, 250-301.
10. POZRIKIDIS, C. 2001a Expansion of a two-dimensional foam. Engng Anal. Bound. Elem. 26, 495-504.
11. POZRIKIDIS, C. 2002b A Practical Guide to Boundary-Element Methods with the Software Library BEM LIB. Chapman & Hall/CRC.
12. PRIMO, A. R. M., WROBEL, L. C. & POWER, H. 2000 An indirect boundary-element method for slow viscous flow in a bounded region containing air bubbles. J. Engng Maths 37, 305-326.
13. RICHARDSON, S. 1968 Two-dimensional bubbles in slow viscous flow. J. Fluid Mech. 33, 476-493.
14. TANVEER, S. & VASCONCELOS, G. L. 1995 Time-evolving bubbles in two-dimensional Stokes flow. J. Fluid Mech. 301, 325-344.
15. VAN DE VORST, G. A. L. 1993 Stokes flow with shrinking holes applied to viscous sintering. J. Fluid Mech. 257, 667-689.
16. VAN DE VORST, G. A. L. 1995 Numerical simulation of viscous sintering by a periodic lattice of a representative unit cell. RANA 95-08. Eindhoven University of Technology.
17. VAN DE VORST, G. A. L. 1996 Integral formulation to simulate the viscous sintering of a two-dimensional lattice of periodic unit cells. J. Engng Maths 30, 97-118.
18. YAN, Y. & SLOAN, I. H. 1988 On integral equations of the first kind with logarithmic kernels. J. Integral Equat. Applics. 1, 549-579.