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Bubbles rising in a fluid

Jean‐Marc Vanden‐Broeck

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Abstract

This paper reviews the effect of surface tension on three different free surface flow problems. Each flow is characterized by a continuum of solutions when surface tension is neglected. When surface tension is taken into account there is a discrete set of solutions. As the surface tension approaches zero all these solutions reduce to a unique solution. The corresponding free surface profiles are found to be in good agreement with experimental data.

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This paper reviews the effect of surface tension on three different free surface flow problems. Each flow is characterized by a continuum of solutions when surface tension is neglected. When surface tension is taken into account there is a discrete set of solutions. As the surface tension approaches zero all these solutions reduce to a unique solution. The corresponding free surface profiles are found to be in good agreement with experimental data.

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Available abstract

This paper reviews the effect of surface tension on three different free surface flow problems. Each flow is characterized by a continuum of solutions when surface tension is neglected. When surface tension is taken into account there is a discrete set of solutions. As the surface tension approaches zero all these solutions reduce to a unique solution. The corresponding free surface profiles are found to be in good agreement with experimental data.

Key concepts: Surface tension, Free surface, Maximum bubble pressure method, Flow (mathematics), Surface (topology), Mechanics, Fluid dynamics, Materials science

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