Study of subsonic–supersonic gas flow through micro/nanoscale nozzles using unstructured DSMC solver
 Masoud Darbandi,
 Ehsan Roohi
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We use an extended direct simulation Monte Carlo (DSMC) method, applicable to unstructured meshes, to numerically simulate a wide range of rarefaction regimes from subsonic to supersonic flows through micro/nanoscale converging–diverging nozzles. Our unstructured DSMC method considers a uniform distribution of particles, employs proper subcell geometry, and follows an appropriate particle tracking algorithm. Using the unstructured DSMC, we study the effects of back pressure, gas/surface interactions (diffuse/specular reflections), and Knudsen number on the flow field in micro/nanoscale nozzles. If we apply the back pressure at the nozzle outlet, a boundary layer separation occurs before the outlet and a region with reverse flow appears inside the boundary layer. Meanwhile, the core region of inviscid flow experiences multiple shockexpansion waves. In order to accurately simulate the outflow, we extend a buffer zone at the nozzle outlet. We show that a high viscous force creation in the wall boundary layer prevents any supersonic flow formation in the divergent part of the nozzle if the Knudsen number exceeds a moderate magnitude. We also show that the wall boundary layer prevents forming any normal shock in the divergent part. In reality, Mach cores would appear at the nozzle center followed by bow shocks and expansion region. We compare the current DSMC results with the solution of the Navier–Stokes equations subject to the velocity slip and temperature jump boundary conditions. We use OpenFOAM as a compressible flow solver to treat the Navier–Stokes equations.
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 Title
 Study of subsonic–supersonic gas flow through micro/nanoscale nozzles using unstructured DSMC solver
 Journal

Microfluidics and Nanofluidics
Volume 10, Issue 2 , pp 321335
 Cover Date
 20110201
 DOI
 10.1007/s1040401006717
 Print ISSN
 16134982
 Online ISSN
 16134990
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Micro/nanoscale nozzles
 Rarefied flow
 Subsonic regime
 Supersonic regime
 DSMC
 Unstructured mesh
 Navier–Stokes
 Slip boundary condition
 OpenFOAM
 Industry Sectors
 Authors

 Masoud Darbandi ^{(1)}
 Ehsan Roohi ^{(1)}
 Author Affiliations

 1. Center of Excellence in Aerospace Systems, Department of Aerospace Engineering, Sharif University of Technology, P.O. Box 113658639, Tehran, Iran