Abstract: Traditional computational fluid dynamics (CFD) methods start from the continuum Navier-Stokes equations and solve then numerically by appropriate schemes. This chapter describes the basic Lattice Boltzmann Method (LBM) algorithm for general fluid dynamics and introduce LBM models for other processes and phenomena such as multiphase/multicomponent flows, diffusion–convection, heat transfer, and electrical field. A notable problem with these physics-originated models is that the density difference between different phases is usually limited when compared with realistic systems. Magnetic forces have been extensively used in various microfluidic applications, including micropumps, microvalves, and stirrers, and in manipulation of magnetic particles in microflows. Different from traditional CFD methods, the LBM multiphase/multicomponent algorithm is uniform throughout the entire domain, and phase separation as well as interface evolution can be obtained without front-capturing and front-tracking treatments. These models typically had been validated by means of stationary bubbles for the Laplace law of capillary and dynamic interfacial waves for the wavelength-frequency dispersion relations.
Publication Year: 2016
Publication Date: 2016-04-19
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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