Lattice Boltzmann method simulation of thermal flow dynamics in a channel

Authors

  • A. S. Zhumali National Engineering Academy, Almaty, Kazakhstan
  • O. L. Karuna National Engineering Academy, Almaty, Kazakhstan
  • B. A. Satenova al-Farabi Kazakh National University, Almaty, Kazakhstan

DOI:

https://doi.org/10.26577/ijmph-2019-i1-10
        71 59

Abstract

Abstract. The objective of this paper is the simulation of thermal flow dynamics in a channel. The mathematical model in a two-dimensional formulation is described by Navier-Stokes equations, continuity and temperature equations. For the numerical simulation of the problem the Lattice Boltzmann method applying the D2Q9 model is used. The validity of this method is tested by comparing the numerical solution to the analytical solution of the planar channel flow and error rates are calculated for various sizes of the computational grid. The test problem of thermal Poiseuille flow in the channel was solved to deactivate the correctness of the developed algorithm. Very good agreement between the exact and numerical solution of this problem is shown.

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How to Cite

Zhumali, A. S., Karuna, O. L., & Satenova, B. A. (2019). Lattice Boltzmann method simulation of thermal flow dynamics in a channel. International Journal of Mathematics and Physics, 10(1), 75–81. https://doi.org/10.26577/ijmph-2019-i1-10

Issue

Vol. 10 No. 1 (2019): International Journal of Mathematics and Physics

Section

MATHEMATICS

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