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International Heat Transfer Conference 16

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

LATTICE BOLTZMANN SIMULATION OF FRICTIONAL PRESSURE DROP FOR LAMINAR DEVELOPING FLOW IN RECTANGULAR MICROCHANNELS

Hao Ma
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Zhipeng Duan
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Niya Ma
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Liangbin Su
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Peng Liang
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Xiaoru Ning
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Xin Zhang
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China; Beijing Key Laboratory of Powertrain for New Energy Vehicle, Beijing Jiaotong University, Beijing 100044, China

DOI: 10.1615/IHTC16.cms.023231
pages 1737-1744


KEY WORDS: lattice Boltzmann equation method, slip flow, entrance region, rectangular microchannels, apparent friction factor and Reynolds number product

Abstract

Hydrodynamic characteristics of laminar developing flow in the entrance region of rectangular microchannels have been presented in this paper. When the hydrodynamic development length is the same magnitude as well 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 slip velocity 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 introducing the rough 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 entrance slip flow through a three-dimensional rectangular microchannel. The effects of channel aspect ratio (0 < ε < 1), and Knudsen number (0.001 < Kn < 0.1) on the apparent friction factor and Reynolds number product, are examined in detail. The numerical solution of LBM can recover excellent agreement with those available data in the literature, which proves its accuracy in capturing fundamental fluid characteristics in the slip-flow regime.

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