Annotation
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.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
T.G. Elizarova$^1$, D.G. Ershov$^2$
$^1$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
$^1$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