A DSMC-MD Investigation of Wall Effects in a Shock Tube Operating at High Knudsen Numbers

  • D. S. Watvisave
  • U. V. Bhandarkar
  • B. P. Puranik
Conference paper


The use of micro shock tubes in novel applications such as drug delivery, microengines and chemical kinetics demand accurate predictions of flow parameters. A shock tube operating at micro scales or under rarefied conditions has a relatively high Knudsen number (Kn), and under this condition the gas-wall interactions significantly affect the flow duration time. Numerous studies of low driver pressure (0.2-5 mm of Hg) shock tubes have been carried out, wherein the decrease in the flow duration time due to wall effects was established [1, 2, 3]. The nature of the flow in a shock tube is unsteady and typically high speed, and hence the time for a molecule to be in complete equilibrium with walls is less. As a consequence the reflection of the molecules is expected to take place with incomplete accommodation [4]. Zeitoun et al.[5] performed the numerical simulations of micro shock tubes using Direct Simulation Monte Carlo (DSMC) method with diffuse reflection at the wall and observed decreases in shock wave strength and velocity. Diffuse reflection occurs as a result of complete accommodation at the wall, whereas the reflection is specular when there is no accommodation at all. For intermediate levels of accommodation, the CLL model [6] is often employed. In a previous investigation by the present authors [7], DSMC analysis of a high Knudsen number shock tube was performed with the CLL model of gas-surface interaction using arbitrary values of accommodation coefficients.


Molecular Dynamics Simulation Shock Tube Knudsen Number Wall Effect Direct Simulation Monte Carlo 
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  1. 1.
    Roshko: Physics of Fluids 3 (1960)Google Scholar
  2. 2.
    Duff, R.E.: Physics of Fluids 2 (1959)Google Scholar
  3. 3.
    Mirels, H.: Physics of Fluids 6 (1963)Google Scholar
  4. 4.
    Finger, G.W., Kapat, J.S., Bhattacharya, A.: Journal of Fluids Engg. 129, 3 (2007)Google Scholar
  5. 5.
    Zeitoun, D.E., Burstschell, Y., Graur, I.A., Ivanov, M.S., Kudryavstev, A.N., Bondar, Y.A.: Shock Waves 19 (2009)Google Scholar
  6. 6.
    Lord, R.G.: Physics of Fluids 5 (1995)Google Scholar
  7. 7.
    Watvisave, D.S., Bhandarkar, U.V., Puranik, B.P.: AIP Conf. Proc. 1333 (2011)Google Scholar
  8. 8.
    Allen, M.P., Tildesley, D.J.: Computer Simulation of Liquids. Oxford University Press, Oxford (1987)zbMATHGoogle Scholar
  9. 9.
    Foiles, S.M., Baskes, M.I., Daw, M.S.: Physical Review B 33, 12 (1986)CrossRefGoogle Scholar
  10. 10.
    Plimpton, S.: Journal of Computational Physics 117 (1995)Google Scholar
  11. 11.
    Yamamoto, K., Takeuchi, H., Hyakutake, T.: Physics of Fluids 18, 046103 (2006)CrossRefGoogle Scholar
  12. 12.
    Sun, J., Li, Z.: Computers and Fluids 39 (2010)Google Scholar
  13. 13.
    To, Q.D., Bercegeay, C., Lauriat, G., Leonard, C., Bonnet, G.: Microfluid Nanofluid 8 (2010)Google Scholar
  14. 14.
    Bird, G.A.: Molecular Gas Dynamics and Direct Simulation of Gas Flows. Oxford University Press, Oxford (1994)Google Scholar
  15. 15.
    Borgnakke, C.: Journal of Computational Physics 13 (1975)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • D. S. Watvisave
    • 1
  • U. V. Bhandarkar
    • 1
  • B. P. Puranik
    • 1
  1. 1.Department of Mechanical EngineeringIndian Institute of Technology BombayMumbaiIndia

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