Abstract
The discussion concerns steady-state flow of a viscous fluid around a spherical bubble at small Reynolds number R. Asymptotic matching [1] provides a way of calculating the resistance force, which agrees well with the measured force for R < 5. The rate of growth or dissolution of the bubble is calculated on the assumption that the Péclet number is large.
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Literature cited
M. van Dyke, Perturbation Methods in Fluid Mechanics, Academic Press (1964).
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I. Proudman and J. R. Pearson, “Expansions at small Reynolds numbers for the flow past a sphere and circular cylinder,” J. Fluid Mech.,2, No. 3, 237–262 (1957).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 107–111, January–February, 1971.
We are indebted to V. G. Levich for a discussion.
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Golovin, A.M., Ivanov, M.F. Motion of a bubble in a viscous liquid. J Appl Mech Tech Phys 12, 91–94 (1971). https://doi.org/10.1007/BF00853987
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DOI: https://doi.org/10.1007/BF00853987