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Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen
Jonathan Chin1, Edo S Boek, Peter V Coveney
1Centre for Computational Science, Queen Mary, University of London, UK. j.chin@qmul.ac.uk
Abstract:
We present a lattice Boltzmann study of the flow of a binary fluid where the fluid components have different viscosities. For this purpose, a microscopic interaction model (due to Shan & Chen) is used. The model is validated for Poiseuille flow of layered immiscible binary fluids and the dispersion of a capillary wave. We then study the unstable displacement of a viscous fluid by a less viscous fluid in a two-dimensional channel. Although a finger-like structure was observed in many simulations, it is not clear if this structure was produced due to viscous fingering or due to other effects.
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