Steady solutions for bubbles in dipole-driven Stokes flows

L. J. Cummings

doi:10.1063/1.1285846

Steady solutions for bubbles in dipole-driven Stokes flows

L. J. Cummings

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper we present a new family of steady bubble solutions in two-dimensional slow viscous flow, driven by a dipole singularity within the flow and surface tension effects at the bubble boundary. These solutions generalize the semi-infinite domain solution constructed by Jeong and Moffatt [J. Fluid Mech. 241, 1 (1992)] to describe their experimental observations for free surface flow in a large tank driven by counter-rotating rollers (the dipole singularity models the action of the rollers). (C) 2000 American Institute of Physics.

Original language	English (US)
Pages (from-to)	2162-2168
Number of pages	7
Journal	Physics of Fluids
Volume	12
Issue number	9
DOIs	https://doi.org/10.1063/1.1285846
State	Published - 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.1285846

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abstract = "In this paper we present a new family of steady bubble solutions in two-dimensional slow viscous flow, driven by a dipole singularity within the flow and surface tension effects at the bubble boundary. These solutions generalize the semi-infinite domain solution constructed by Jeong and Moffatt [J. Fluid Mech. 241, 1 (1992)] to describe their experimental observations for free surface flow in a large tank driven by counter-rotating rollers (the dipole singularity models the action of the rollers). (C) 2000 American Institute of Physics.",

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AB - In this paper we present a new family of steady bubble solutions in two-dimensional slow viscous flow, driven by a dipole singularity within the flow and surface tension effects at the bubble boundary. These solutions generalize the semi-infinite domain solution constructed by Jeong and Moffatt [J. Fluid Mech. 241, 1 (1992)] to describe their experimental observations for free surface flow in a large tank driven by counter-rotating rollers (the dipole singularity models the action of the rollers). (C) 2000 American Institute of Physics.

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JO - Physics of Fluids

JF - Physics of Fluids

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Steady solutions for bubbles in dipole-driven Stokes flows

Abstract

All Science Journal Classification (ASJC) codes

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