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The role of added mass in the theory of Hele-Shaw cell bubbles

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Abstract

Viscous bubbles in a Hele-Shaw cell are studied by two-dimensional theory. The motion is caused by buoyancy and/or a pressure gradient driving a uniform basic flow in the surrounding fluid. A formula for the velocity of a steady bubble is derived, involving the ratio between the added mass of the bubble and the displaced fluid mass.

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  1. Dept. of Physics and Meteorology, Agricultural University of Norway, N-1432, Aas-NLH, Norway

    Peder A. Tyvand

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  1. Peder A. Tyvand
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Tyvand, P.A. The role of added mass in the theory of Hele-Shaw cell bubbles. Z. angew. Math. Phys. 39, 441–446 (1988). https://doi.org/10.1007/BF00945062

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  • DOI: https://doi.org/10.1007/BF00945062

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