Thermal Lattice Boltzmann Method for Curved Boundaries in the Transition Regime

Document Type : Research Article

Authors

1 Faculty of Engineering, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran

2 Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

Abstract

The three-dimensional thermal lattice Boltzmann-BGK model is developed to simulate the
pressure-driven rarefied gaseous flow within a circular channel with constant-temperature-wall in the transition
regime (0.1 <Kn<1). The D3Q15 model has been employed for velocity discretization. The captured nonlinear
behavior of gas in the Knudsen layer, which dominates the flow characteristics in small-scale gaseous flows
by modifying the near-wall correction function along with the variation of properties with density and
temperature distributions are implemented in a new formulation. An appropriate combination of advanced
straight boundary conditions and a 3D extension of an available curved boundary conditions by identifying the
nodes either adjacent to the solid nodes or flow nodes on the computational domain with the structured mesh
are employed. The results of small-scale phenomena such as slip-velocity and temperature-jump are reported,
which are manifestations of the cases with non-zero Knudsen number. Due to the deficiency of the continuum
presumption for high-Knudsen flows, the present study suggests that the TLBM is an efficient tool applicable
to the theoretical development of low speed gas flow study, which typically falls within the realm of MEMS/
NEMS by virtue of its more straightforward boundary treatments and higher computation capability compared
to other atomistic approaches.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 49, Issue 3
November 2017
Pages 617-624

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