Abstract

The source codes of Lattice Boltzmann Method (LBM) based on the D3Q15 model were developed in the current study. In the simulation process, the pressure boundary conditions were developed and the rectangular micro-channel flow was investigated. The Width-to-Height ratio (W/H) is the main influencing parameter of the rectangular micro-channel flow in low Reynolds number condition. A smaller W/H of the rectangular micro-channel results in a greater difference of drag coefficient between LBM simulation data and empirical formula data. On the empirical data of drag coefficient approximating laminar flow, when the Reynolds number is more than 10, the drag coefficients of LBM simulation and empirical data of laminar flow are in substantial agreement. Thus, in more than 10 conditions of Reynolds number, the empirical data on laminar flow can be used in rectangular micro-channel flow.

Keywords:

D3Q15, drag coefficient, lattice boltzmann method, rectangular micro-channel flow,

References

Competing interests

The authors have no competing interests.

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