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Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell

✍ Scribed by S. Tanveer

Publisher
Springer
Year
1989
Tongue
English
Weight
698 KB
Volume
1
Category
Article
ISSN
0935-4964

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Phase-field modeling of bubble growth an
Phase-field modeling of bubble growth and flow in a Hele–Shaw cell
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A phase-field model is presented for gas bubble growth and flow in a supersaturated liquid inside a Hele-Shaw cell. The flows in the gas and liquid are solved using a two-phase diffuse interface model that accounts for surface tension, interfacial mass transfer, and density and viscosity differences

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For the buoyancy-driven motion of a drop in a Hele-Shaw cell, a circle is an exact solution for the shape of the drop. The stability of the shape of a circular drop translating in a Hele-Shaw cell under the action of gravity is investigated. It is shown that for nonzero interfacial tension, the circ

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that a circular drop translating in a Hele-Shaw cell under the action of gravity is linearly stable for nonzero interfacial tension. In this paper, we use the boundary integral method to examine the nonlinear evolution of the shape of initially noncircular drops translating in a Hele-Shaw cell. For