Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell

Quarterly of Applied Mathematics

Volumn 60, Issue 1, 2002, Pages 11-36

  Crowdy, Darren ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Fluid dynamics; Hele Shaw; Nonlinear free boundary problem; Rotating flows

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONFORMAL MAPPING; EQUATIONS OF MOTION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; POISSON EQUATION;

FLUID ANNULUS; LAPLACE EQUATIONS; NONLINEAR FREE BOUNDARY PROBLEM; RATIONAL FUNCTION CONFORMAL MAPS; ROTATING HELE-SHAW CELL;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0036492596     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1878257     Document Type: Article

References (21)

1. Experiments in a rotating Hele-Shaw cell
2. Radial displacement of a fluid annulus in a rotating Hele-Shaw cell
3. Interfacial instabilities of a fluid annulus in a rotating Hele-Shaw cell
4. A theory of exact solutions for annular viscous blobs
5. A note on viscous sintering and quadrature identities
6. Exact solutions for steady capillary waves on a fluid annulus
7. On a class of geometry-driven free boundary problems
8. On the construction of multiply-connected quadrature domains
9. The Schwarz function and its applications
10. On nonlinear interface dynamics in Hele-Shaw flows
11. Quadrature domains and the Schottky double
12. Hele-Shaw flows with time-dependent free boundaries involving a concentric annulus
13. The penetration of a fluid into a porous medium of Hele-Shaw cell containing a more viscous fluid
14. Instability and fingering in a rotating Hele-Shaw cell or porous medium
15. Singular effects of surface tension in evolving Hele-Shaw flows
16. Evolution of a Hele-Shaw interface for small surface tension
17. Surprises in viscous fingering