Encyclopedia of Microfluidics and Nanofluidics

Living Edition
| Editors: Dongqing Li

DSMC Simulations of Nanoscale and Microscale Gas Flow

Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27758-0_1723-2



Direct simulation Monte Carlo (DSMC) method is a statistical approach widely employed for simulating rarefied micro-/nanoflows. DSMC is considered as a particle method in which each particle represents a large bulk of real gas molecules. It is proved that DSMC solution is as accurate as the solution of Boltzmann equation over the whole range of the Knudsen number.


Micro-/nano-electromechanical systems (MEMS/NEMS) are widely utilized in many practical applications including mechanical engineering. The study of gaseous flow in micro- and nanoscales has been an interesting topic of researches in recent years. Classification of the gaseous flow regimes is usually performed according to the Knudsen (Kn) number. Gaseous flow at Kn < 0.001 is termed as continuum regime where the basic NS equations with no-slip/jump boundary conditions are valid in this regime....

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The author would like to acknowledge financial supports of “Iranian Elite Foundations” for pursing his researches in the field of micro/nano flows under Grant No. 100665.


  1. 1.
    Bird GA (1994) Molecular gas dynamics and the direct simulation of gas flows. Clarendon, OxfordGoogle Scholar
  2. 2.
    Roohi E, Darbandi M, Mirjalili V (2009) DSMC solution of subsonic flow through micro-nano scale channels. ASME J Heat Transf 131(9):092402CrossRefGoogle Scholar
  3. 3.
    Mohammadzadeh A, Roohi E, Niazmand H, Stefanov S, Myong RS (2012) Detailed investigation of thermal and hydrodynamic behaviour in micro/nano cavity using DSMC. Phys Rev E 85:056305CrossRefGoogle Scholar
  4. 4.
    Roohi E, Darbandi M (2009) Extending the Navier–Stokes solutions to transition regime in two-dimensional micro-/nanochannel flows using information preservation scheme. Phys Fluids 21:082001CrossRefGoogle Scholar
  5. 5.
    Karniadakis GE, Beskok A, Aluru N (2005) Microflows and nanoflows: fundamentals and simulation. Springer, New YorkGoogle Scholar
  6. 6.
    Colin S (2005) Rarefaction and compressibility effects on steady and transient gas flow in microchannels. Microfluid Nanofluid 1(3):268–279CrossRefGoogle Scholar
  7. 7.
    Aubert C, Colin S (2001) High-order boundary conditions for gaseous flows in rectangular microchannels. Microscale Thermophys Eng 5(1):41–54CrossRefGoogle Scholar
  8. 8.
    Maurer J, Tabelin P, Joseph P, Willaime H (2003) Second-order slip laws in microchannels for helium and nitrogen. Phys Fluids 15:2613–2621CrossRefGoogle Scholar
  9. 9.
    Darbandi M, Roohi E (2011) DSMC simulation of subsonic flow through nanochannels and micro/nano steps. Int Commun Heat Mass Trans 38(10):1444–1449CrossRefGoogle Scholar
  10. 10.
    Xu J, Zhao C (2007) Two-dimensional numerical simulations of shock waves in micro convergent–divergent nozzles. Int J Heat Mass Trans 50:2434–2438CrossRefMATHGoogle Scholar
  11. 11.
    Darbandi M, Roohi E (2011) Study of supersonic-subsonic gas flows through micro-nano scale nozzles using unstructured DSMC solver. Microfluids Nanofluids 10(2):321–335CrossRefGoogle Scholar
  12. 12.
    Akhlaghi H, Roohi E, Stefanov S (2012) A new iterative wall heat flux specifying technique in DSMC for heating/cooling simulation at micro/nanoscales. Int J Thermal Sci 56:111–125CrossRefGoogle Scholar

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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.High Performance Computing Laboratory (HPC Lab), Department of Mechanical Engineering, Faculty of EngineeringFerdowsi University of MashhadMashhadIran