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Calculation of the gas flow rate in a microchannel |
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| Authors: | T. G. Elizarova D. G. Ershov |
| Affiliation: | (1) Institute of Mathematical Simulation, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia;(2) Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia |
| Abstract: | Approximation formulas are obtained for calculation of the gas flow rate in long isothermal microchannels. The quasi-gas-dynamic equations with Maxwell’s slip conditions are shown to predict a minimum in the flow rate within a channel that is called the Knudsen minimum. Corrections are proposed enabling derivation of approximate formulas for flow rates valid for any Knudsen number. |
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