Numerical simulation of shock wave propagation in microchannels using continuum and kinetic approaches

被引：29

作者：

Zeitoun, David E. ^{[1
]}

Burtschell, Yves ^{[1
]}

Graur, Irina A. ^{[1
]}

Ivanov, Mikhail S. ^{[2
]}

Kudryavtsev, Alexey N. ^{[2
]}

Bondar, Yevgeny A. ^{[2
]}

机构：

[1] Univ Aix Marseille 1, UMR 6595, IUSTI, Ecole Polytech Univ Marseille,DME, F-13453 Marseille, France

[2] Russian Acad Sci, Siberian Div, Inst Theoret & Appl Mech, Novosibirsk 630090, Russia

来源：

SHOCK WAVES | 2009年 / 19卷 / 04期

关键词：

Micro-shock tube; Viscous effects; Kinetic equations; FLOW;

D O I：

10.1007/s00193-009-0202-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Numerical simulations of shock wave propagation in microchannels and microtubes (viscous shock tube problem) have been performed using three different approaches: the Navier-Stokes equations with the velocity slip and temperature jump boundary conditions, the statistical Direct Simulation Monte Carlo method for the Boltzmann equation, and the model kinetic Bhatnagar-Gross-Krook equation with the Shakhov equilibrium distribution function. Effects of flow rarefaction and dissipation are investigated and the results obtained with different approaches are compared. A parametric study of the problem for different Knudsen numbers and initial shock strengths is carried out using the Navier-Stokes computations.

引用

页码：307 / 316

页数：10

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