Stability of large two-dimensional gas bubbles
β Scribed by J. Berghmans
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 465 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0009-2509
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β¦ Synopsis
The stability of a large two-dimensional gas bubble rising in an inviscid liquid because of buoyancy is studied. The analysis leads to the determination of a critical vertex angle subtended by the bubble. Bubbles with smaller vertex angles are shown to be unstable. This critical angle compares favourably with observations about the shape of large two-dimensional bubbles.
π SIMILAR VOLUMES
NOTATION a quantity, detìned in Eq. (3) B quantity, defined in Eq. (3) C, concentration of the tracer in the mobile tluid Cz concentration of the tracer in the stagnant zones D coefficient of axial dispersion E quantity, defined in Eqs. (8-11) f(x) arbitrary function F quantity, defined in Eqs. (8-1
A variational approach, based upon the principle of minimum total energy, is used to study the interfacial stability of small ellipsoidal gas bubbles moving upwards in liquids of small viscosity because of their buoyancy. Viscous and inertia effects are neglected, while the effects of gravity are ta