COMPARISON OF GAS SLIP MODELS WITH SOLUTIONS OF LINEARIZED BOLTZMANN EQUATION AND DIRECT SIMULATION OF MONTE CARLO METHOD

G. H. Tang (), Y. L. He and W. Q. Tao
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G. H. Tang: State Key Laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China
Y. L. He: State Key Laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China
W. Q. Tao: State Key Laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 02, 203-216

Abstract: Analytical solutions of the Navier–Stokes equation based on a locally fully-developed flow assumption with various gas slip models are presented and comparisons for velocity profile, flow rate, friction factor, and pressure distribution are performed. The effect of the second-order coefficient in the slip boundary condition becomes significant as the Knudsen number increases. Most slip models are limited to slip regime or marginally transition regime and break down aroundKn = 0.1while Sreekanth's model, followed by Mitsuya's model, gives a good agreement with the linearized Boltzmann solutions from slip regime up toKn = 2for flow rate and friction factor predictions. These two models should be of great use for slip flow analysis in micro-electro-mechanical systems (MEMS) and, in particular, in situations where the flow rate and flow resistance are of interest.

Keywords: Slip flow; Knudsen number; Navier–Stokes equation; slip model; 47.45.Gx; 47.11.-j; 47.45.-n (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010383

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