منابع مشابه
A Computational Study of Rising Plane Taylor Bubbles
The problem of a plane bubble rising in a 2-D tube is revisited using Birkhoff’s (1957) formulation. The equations in this formulation have a one parameter (Froude number F ) family of solutions which are divided into three regimes characterized by distinct topologies at the apex. These equations are solved numerically using a conventional series representation method and Newton’s iterations. T...
متن کاملGrowing bubbles rising in line
Over many years the author and others have given theories for bubbles rising in line in a liquid. Theory has usually suggested that the bubbles will tend towards a stable distance apart, but experiments have often showed them pairing off and sometimes coalescing. However, existing theory seems not to deal adequately with the case of bubbles growing as they rise, which they do if the liquid is b...
متن کاملHydrodynamic investigation of multiple rising bubbles using lattice Boltzmann method
Hydrodynamics of multiple rising bubbles as a fundamental two-phase phenomenon is studied numerically by lattice Boltzmann method and using Lee two-phase model. Lee model based on Cahn-Hilliard diffuse interface approach uses potential form of intermolecular forces and isotropic finite difference discretization. This approach is able to avoid parasitic currents and leads to a stable procedure t...
متن کاملMass Transfer from Growing and Oscillating Rising Bubbles
Mass transfer in gas liquid systems depends on the contact between the entities in which the gas phase is dispersed into the liquid, the bubbles, and the surrounding liquid. Further knowledge of the hydrodynamics of the growing and rising bubbles under mass transfer conditions will help in the understanding of the mass transfer process in bubble columns and in the design of the equipment.
متن کاملSpatio-temporal dynamics in a train of rising bubbles
It has been suggested that rising bubbles in dense fluids resemble an inverted dripping faucet and that they undergo analogous period-doubling bifurcations to chaos. We present experimental results demonstrating that this analogy is weak because the dominant source of instability in the bubble train is inherently different mutual interactions between spatially separated bubbles as opposed to no...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1957
ISSN: 0022-2518
DOI: 10.1512/iumj.1957.6.56042