Abstract
Solutions of the flow and deformation during the approach of two bubbles along their centre line are presented for the low Weber number case. When viscosity is absent, Weber number and radius ratio disappear from the equations under suitable transformations of the variables and a universal solution is obtained. This solution indicates the formation of a dimple, after which the thinning rate of the film between the bubbles tends to a constant high value. When liquid viscosity is included the Reynolds number, Re, enters the equations. A retardation of the coalescence process is found for Re < 100, while for Re ≤ 1 dimple formation is suppressed. The influence of gas properties is considered briefly. An extrapolation of the inviscid results to Weber numbers of order unity suggests that the bubbles will bounce apart before coalescence is achieved.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chesters AK (1975) The applicability of dynamic similarity criteria to isothermal, liquid-gas two-phase flows without mass transfer. Int J Multiphase Flow 2: 191–212.
Chesters AK and Bader P. Bubble Growth on small orifices (as yet unpublished).
Farooq SY (1972) Coalescence of bubbles. PhD thesis, Dept Chem Eng, Univ College of Swansea, Univ of Wales.
Lamb H (1945) Hydrodynamics (art 98). New York: Dover.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Martinus Nijhoff Publishers, The Hague
About this paper
Cite this paper
Chesters, A.K., Hofman, G. (1982). Bubble coalescence in pure liquids. In: van Wijngaarden, L. (eds) Mechanics and Physics of Bubbles in Liquids. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7532-3_33
Download citation
DOI: https://doi.org/10.1007/978-94-009-7532-3_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7534-7
Online ISBN: 978-94-009-7532-3
eBook Packages: Springer Book Archive