O. Matviykiv

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Abstract. The mesoscale description of multiphase flow in a typical Lab-chip diagnostic device is presented in actual article. The mesoscopic lattice Boltzmann method, which involve evolution equations for the single particle distribution function, was applied for the modeling of complex microfluidic flows. The general D2Q9 lattice Boltzmann formulation, considered multiphase flows, was developed. Three types of boundary conditions were used for the mesoscopic modeling: “ghost-fluid”, “bounce-back” and “periodic boundaries”. Traditional Dirichlet and Neumann macroscopic boundary conditions were transformed into mesoscopic lattice formulations. Algorithm of fluid flow solution, based on BGK single-relaxation-time scheme was proposed and implemented. The scaling procedure was used for physical parameters convertion into non-dimensional units. Simulation procedure was tested on a fluid flow with single solid particle. The final results showed good consistence with fundamental flow phenomena.

Key words: multiphase, microfluidics, flow, mesoscale, modeling.

Mesoscale Modeling of Complex Microfluidic Flows

an international quarterly journal on economics of technology and modelling processes