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Simulation of four-component mixtures separation by phase field and LB methods

D. B. Zhakebayev, National Engineering Academy of the Republic of Kazakhstan, Al-Farabi Kazakh National University, Almaty, Kazakhstan, A. S. Zhumali, National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan, Al-Farabi Kazakh National University, Almaty, Kazakhstan
2022 Bulletin of the National Engineering Academy of the Republic of Kazakhstan  

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This article reviews the mathematical and computer modeling of the process of four-component fluid mixture separation by Lattice Boltzmann equations (LB) method and phase field method. The process under study is considered in a limited area having the shape of a rectangle. The mathematical model constructed to describe this process is based on the Navier-Stokes equation for an incompressible fluid and the CahnHilliard equation. The numerical model is built on the basis of D2Q9 scheme of LB
more » ... d. Numerical experiments were performed for two scenarios: (1) – investigate the model without body force, in order to determine the patterns of the surface tension effect and (2) investigate the model with body force. The results obtained determine the adequacy of the constructed model for the four-component fluid.
doi:10.47533/2020.1606-146x.180 fatcat:7bkj7myvjfh6voetxg3md4uaku
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D. B. Zhakebayev, National Engineering Academy of the Republic of Kazakhstan, Al-Farabi Kazakh National University, Almaty, Kazakhstan, A. S. Zhumali, National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan, Al-Farabi Kazakh National University, Almaty, Kazakhstan. "Simulation of four-component mixtures separation by phase field and LB methods." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 85.3 (2022) 119-127