An Interpolated Bounce Back Thermable Method for Simulating Solid Particles Dynamics in a Viscous Medium

Zhakebayev D.B. Zhumali A.S. Satenova B.A.
22 December 2021 al-Farabi Kazakh State National University

International Journal of Mathematics and Physics
2021 #12 Issue 2 50 - 60 pp.

In this paper we discuss the mathematical and computer modeling of non-isothermal two-phase flows with suspended particles. Natural convection between an outer cubical cavity and an inner hot sphere is investigated. To simulate heat fluxes loaded with particles, a thermal model of the lattice Boltzmann equation in combination with the interpolated bounce back method (TLBM-IBB) has been developed. In TLBM-IBB, IBB is used to process liquid-solid interfaces, and TLBM is used to simulate the heat flow of a fluid. The momentum exchange method is used to calculate the hydrodynamic force on the particle surface. Simulation performed for a range of Rayleigh numbers (10⁵ – 10⁶). The accuracy and efficiency of the existing method is demonstrated by the example of solving the test problem of natural convection around a stationary particle and three-dimensional compressible natural convection in a square cavity filled with air, which has a hot wall on the left and a cold wall on the right, and two horizontal walls are adiabatic. The results obtained are in good agreement with the experimental and numerical results of other authors.

cubical cavity , D3Q19 , IBB , solid particle , TLBM , viscous medium

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National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan

National Engineering Academy of the Republic of Kazakhstan
Al-Farabi Kazakh National University

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