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

D.B. Zhakebayev; A.S. Zhumali; B. Satenova

doi:10.26577/ijmph.2021.v12.i2.06

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

Authors

D.B. Zhakebayev National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan http://orcid.org/0000-0002-0642-327X
A.S. Zhumali National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan http://orcid.org/0000-0003-3632-5483
B. Satenova Al-Farabi Kazakh National University, Almaty, Kazakhstan http://orcid.org/0000-0003-2130-4794

DOI:

https://doi.org/10.26577/ijmph.2021.v12.i2.06

68 61

Abstract

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 .

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.

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How to Cite

Zhakebayev, D., Zhumali, A., & Satenova, B. (2021). An Interpolated Bounce Back Thermable Method for Simulating Solid Particles Dynamics in a Viscous Medium. International Journal of Mathematics and Physics, 12(2), 50–60. https://doi.org/10.26577/ijmph.2021.v12.i2.06

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Issue

Vol. 12 No. 2 (2021): International Journal of Mathematics and Physics

Section

MATHEMATICS

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