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ROUGHNESS EFFECT OF DIFFERENT GEOMETRIES ON MICRO GAS FLOWS BY LATTICE BOLTZMANN SIMULATION

Chaofeng Liu, Yushan Ni () and Yong Rao
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Chaofeng Liu: Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
Yushan Ni: Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
Yong Rao: Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 06, 953-966

Abstract: The roughness effects of the gas flows of nitrogen and helium in microchannels with various relative roughnesses and different geometries are studied and analyzed by a lattice Boltzmann model. The shape of surface roughness is simulated to be square, sinusoidal, triangular, and fractal. Numerical computations compared with theoretical and experimental studies show that the roughness geometry is an important factor besides the relative roughness in the study of the effects of surface roughness. The fractal boundary presents a higher influence on the velocity field and the resistance coefficient than other regular boundaries at the same Knudsen number and relative roughness. In addition, the effects of rarefaction, compressibility, and roughness are strongly coupled, and the roughness effect should not be ignored in studying rarefaction and compressibility of the microchannel as the relative roughness increases.

Keywords: Lattice Boltzmann method; surface roughness; micro gas flows; velocity slip (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014114

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