Phase-field Simulation Of Two-phase
Micro-flows In A Hele-Shaw Cell
Author(s)
Y. Sun & C. Beckermann
Abstract
A two-phase diffuse interface model previously developed by the authors is used
to simulate the buoyancy-driven flow and Rayleigh-Taylor instability of fluid
layers inside a Hele-Shaw cell. The model assumes that the two phases coexist
inside the diffuse interface with different properties and velocities. A separate
momentum equation is used to calculate the slip velocity between the two phases
within the diffuse interface. This two-phase approach is coupled with a
phase-field equation for calculating the interface motion. The model is validated
by comparing the calculated interface evolution, before any topology changes
occur, to available results from a sharp interface model. Then, the flows and
interface topology changes are investigated for fluid layers with a large density
and viscosity contrasts. The convergence of the results with respect to the
interface width is examined in detail. It is shown that the two-phase model
converges better than standard diffuse interface models that assume a single
velocity inside the diffuse interface.
1 Introduction
Two-phase flows featuring topology transitions and other interface singularities
have become an area of increasing research interest over the last decade [1-3]. In
such flows, multiple length and time scales emerge and capillary stresses cannot
be neglected. For the nano-scale phenomena introduced by interface
singularities, conventional sharp interface models fail to work. Diffuse interface
approaches have been proposed to overcome these difficulties [1, 4, 5]. In diffuse
interface models, the interface is viewed as a region of finite extent over which
the properties vary smoothly from one phase to the other.
Keywords
Related Book
Other papers in this volume
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