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Micromachines 2018, 9(2), 87; https://doi.org/10.3390/mi9020087

Lattice Boltzmann Simulation of the Hydrodynamic Entrance Region of Rectangular Microchannels in the Slip Regime

1
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China
2
Beijing Key Laboratory of Powertrain for New Energy Vehicle, Beijing Jiaotong University, Beijing 100044, China
*
Author to whom correspondence should be addressed.
Received: 18 December 2017 / Revised: 31 January 2018 / Accepted: 13 February 2018 / Published: 16 February 2018
(This article belongs to the Special Issue Microsystems for Power, Energy, and Actuation)
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Abstract

Developing a three-dimensional laminar flow in the entrance region of rectangular microchannels has been investigated in this paper. When the hydrodynamic development length is the same magnitude as the microchannel length, entrance effects have to be taken into account, especially in relatively short ducts. Simultaneously, there are a variety of non-continuum or rarefaction effects, such as velocity slip and temperature jump. The available data in the literature appearing on this issue is quite limited, the available study is the semi-theoretical approximate model to predict pressure drop of developing slip flow in rectangular microchannels with different aspect ratios. In this paper, we apply the lattice Boltzmann equation method (LBE) to investigate the developing slip flow through a rectangular microchannel. The effects of the Reynolds number (1 < Re < 1000), channel aspect ratio (0 < ε < 1), and Knudsen number (0.001 < Kn < 0.1) on the dimensionless hydrodynamic entrance length, and the apparent friction factor, and Reynolds number product, are examined in detail. The numerical solution of LBM can recover excellent agreement with the available data in the literature, which proves its accuracy in capturing fundamental fluid characteristics in the slip-flow regime. View Full-Text
Keywords: lattice Boltzmann equation method (LBE); slip flow; entrance region; rectangular microchannels; apparent friction factor and Reynolds number product; hydrodynamic development length lattice Boltzmann equation method (LBE); slip flow; entrance region; rectangular microchannels; apparent friction factor and Reynolds number product; hydrodynamic development length
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Ma, N.; Duan, Z.; Ma, H.; Su, L.; Liang, P.; Ning, X.; He, B.; Zhang, X. Lattice Boltzmann Simulation of the Hydrodynamic Entrance Region of Rectangular Microchannels in the Slip Regime. Micromachines 2018, 9, 87.

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