Multiple bubbles in a Hele-Shaw cell

Journal Article · Mon Oct 31 23:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.50.R3306· OSTI ID:7098532

Vasconcelos, G L ^[1]

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1. Department of Mathematics, The Ohio State University, Columbus, Ohio, 43210 (United States)

A new class of exact solutions is reported for an infinite stream of identical groups of bubbles moving with a constant velocity [ital U] in a Hele-Shaw cell when surface tension is neglected. It is suggested that the existence of these solutions might explain some of the complex behavior observed in recent experiments on rising bubbles in a Hele-Shaw cell. Solutions for a finite number of bubbles in a channel are also obtained. In this case, it is shown that solutions with an arbitrary bubble velocity [ital U][gt][ital V], where [ital V] is the fluid velocity at infinity, can in general be obtained from a simple transformation of the solutions for [ital U]=2[ital V].

• DOE Contract Number: FG02-92ER14270
• OSTI ID: 7098532
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 50:5; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
BUBBLES
CONFORMAL MAPPING
FLUID FLOW
INSTABILITY
MAPPING
MATHEMATICAL MODELS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
VISCOUS FLOW