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A second approximation for the velocity of a large gas bubble rising in an infinite liquid

Published online by Cambridge University Press:  28 March 2006

R. Collins
R. Collins
Affiliation:
Department of Mechanical Engineering, University College London
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Abstract

A second approximation for the velocity of a large gas bubble in an infinite liquid is derived from a linear perturbation of the first approximation. Previously known experimental results are in excellent agreement with the resulting velocity, \[ U = 0.652(g\overline{a})^{\frac{1}{2}}, \] where $\overline{a}$ is the apparent radius of curvature of the front part of the bubble, and g the acceleration due to gravity. The shape of this second approximation is seen to be indistinguishable from spherical over a large region near the front stagnation point.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 3 , July 1966 , pp. 469 - 480
Copyright
© 1966 Cambridge University Press

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References

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