Infinite stream of Hele--Shaw bubbles

Journal Article · Thu Feb 28 23:00:00 EST 1991 · Physics of Fluids A; (USA)

DOI:https://doi.org/10.1063/1.858146· OSTI ID:5847080

Burgess, D ^[1]; Tanveer, S ^[2]

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1. Department of Physics, The Ohio State University, Columbus, Ohio 43210 (US)
2. Department of Mathematics, The Ohio State University, Columbus, Ohio 43210 (USA)

Exact solutions are presented for a steady stream of bubbles in a Hele--Shaw cell when the effect of surface tension is neglected. These solutions form a three-parameter family. For specified area and distance between bubbles, the speed of the bubble remains arbitrary when surface tension is neglected. However, numerical and analytical evidence indicates that this arbitrariness is removed by the effect of surface tension. The branch of solutions that corresponds to the McLean--Saffman finger solution were primarily studied. A dramatic increase was observed in bubble speeds when the distance between bubbles is on the order of a bubble diameter, which may have relevance to experiments done by Maxworthy (J. Fluid Mech. {bold 173}, 95 (1986)).

• DOE Contract Number: FG02-88ER13916
• OSTI ID: 5847080
• Journal Information: Physics of Fluids A; (USA), Journal Name: Physics of Fluids A; (USA) Vol. 3:3; ISSN 0899-8213; ISSN PFADE
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
AUGMENTATION
BUBBLES
CARTESIAN COORDINATES
COORDINATES
FLUID FLOW
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
STEADY-STATE CONDITIONS
SURFACE PROPERTIES
SURFACE TENSION
TRANSFORMATIONS
TWO-PHASE FLOW
VELOCITY