Lattice-Boltzmann method for yield-stress liquids |
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Authors: | A Vikhansky |
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Institution: | Department of Engineering, Queen Mary, University of London, United Kingdom |
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Abstract: | In the present study we propose a new version of the lattice-Boltzmann (LB) method for the simulation of flow of yield-stress liquids. Unlike traditional LB methods, collisions are treated implicitly, i.e., the collision term is chosen in such a way that the stress and strain rate tensors satisfy the constitutive equation after the collision. This approach requires the solution of a (one-dimensional) non-linear algebraic equation at each point and at each time step. In the practically important cases of a Bingham liquid this equation can be solved analytically. We calculated the flow of Bingham fluid through a channel and periodic mesh of cylinders. |
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Keywords: | Lattice-Boltzmann Bingham fluid |
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