Symmetric mode instability of the slipflow model for flows in a microchannel with a vanishing Reynolds number
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The slipflow model is usually used to study microflows when the Knudsen number lies between 0.01 and 0.1. The instability due to microscale effect seems to have never been studied before. In this paper we present preliminary results for the instability (not physical instability) of this model when applied to microchannel flow with a vanishing Reynolds number. The present paper is restricted to symmetrical mode. Both first-order and second-order slip boundary conditions will be considered.
Key Wordsslipflow model microchannel instability
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- 3.Karniadakis GE, Beskok A. Micro Flows, Fundamental and Simulation. New York: Springer-Verlag, 2002Google Scholar
- 4.Bird GA. Molecular Gas Dynamics and the Direct Simulation of Gas Flows. London: Oxford Science Publications, 1994Google Scholar
- 6.Cercignani C. Rarefied gas dynamics from basic conception to actual calculations. London: Cambridge University Press, 2000Google Scholar
- 7.Bobylev AV. The Chapman-Enskog and Grad methods for solving the Boltzmann equation.Soviet Physics-Doklady, 1982, 27: 29Google Scholar
- 8.Zhong X, MacCormack RW, Chapman DR. Stabilization of the Burnett equations and application to high altitude hypersonic flows. AIAA paper 91-0770, 1991Google Scholar
- 10.Gad-el-Hak M. The fluid mechanics of microdevices.J Fluids Engineering, 1999, 121: 5–33Google Scholar