Abstract

Multiphase fluid flow is an active field of research in numerous branches of science and technology. An interesting subset of multiphase flow problems involves the dispersion of one phase into another in the form of many small bubbles or droplets, and their subsequent separation back into bulk phases after this has occurred. Phase dispersion may be a desirable effect, for example in the production of emulsions of otherwise immiscible liquids or to increase interfacial surface area for chemical reactions, or an undesirable one, for example in the intermixing of waste and product phases during processing or the generation of foams preventing gas-liquid decoupling. The present paper describes a computational fluid dynamics method based on the multiple marker front-capturing algorithm – itself an extension of the volume-of-fluids method for multiphase flow – which is capable of scaling to mesoscale systems involving thousands of droplets or bubbles. The method includes sub-grid models for solution of the Reynolds equation to account for thin film dynamics and rupture. The method is demonstrated with an implementation in the OpenFOAM® computational mechanics framework. Comparisons against empirical data are presented, together with a performance benchmarking study and example applications.

Highlights

  • The problem of separating two immiscible fluids after they have become mixed arises in many branches of process engineering

  • In the new approach presented here, which we refer to as the dynamic multiple marker (DMM) method, this is addressed by dynamically reassigning particles of the dispersed phase to a small number of marker phases such that no adjacent particles use the same phase

  • In order to evaluate the performance of the DMM method against traditional multiphase approaches for resolved dispersed-phase problems, simulations were performed using a planar two-dimensional metallurgical system in which droplets of dense molten metal settle through a lighter molten slag continuum phase

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Summary

Introduction

The problem of separating two immiscible fluids after they have become mixed arises in many branches of process engineering. In the new approach presented here, which we refer to as the dynamic multiple marker (DMM) method, this is addressed by dynamically reassigning particles of the dispersed phase to a small number of marker phases such that no adjacent particles use the same phase This is achieved at each time step in a transient VOF calculation by identifying collections of mesh cells belonging to each discrete particle of the dispersed phase, tagging pairs of particles which are in close proximity to one other, and using this information to generate a graph representing the pairwise contacts for the set of all particles in the simulation. The major algorithm components are described in more detail

Contact detection and marker phase identification
Thin film sub-model
Implementation details
Performance
Droplet collisions
Hindered settling
Application example
Conclusions
Full Text
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