Stokes slip flow between corrugated walls

  • Werner Kwang-Hua Chu
Original Papers


Stokes flow between corrugated plates in microdomains has been analyzed using a perturbation method. This approach used the incompressible Navier-Stokes equations, but the velocity-slip is present along the solid-fluid interface. For the slip flow regime, if we introduce Knudsen number (Kn) herein, 0.01 ≤Kn≤ 0.1, the total flow rate is increasing as a ratio of 1 + 6Knto no-slip Stokes flow. If we consider fixedKncases, the corrugations still decrease the flow rate, consideringO2) terms, and the decrease is maximum as the phase shift becomes 180 °.

Mathematics Subject Classification (1991)

34E10 35B20 35C10 35J05 41A58 76D07 76P05 


Stokes flow velocity-slip corrugations perturbations 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    J. C. Harley, Y.-F. Huang, H. H. Bau and J. N. Zemel, Gas Flow in Micro-channels.J. Fluid Mech. 284 (1995), 257.Google Scholar
  2. [2]
    M. N. Kogan,Rarefied Gas Dynamics. Plenum Press, New York, (1969), 368.Google Scholar
  3. [3]
    S. Albertoni, C. Cercignani and L. Gotusso, Numerical Evaluation of the Slip Coefficient.Phys. Fluids 6 (1963), 993.Google Scholar
  4. [4]
    C.-Y. Wang, On Stokes Flow Between Corrugated Plates. Transaction of the ASME,J. Appl. Mech. 46, (1979), 462.Google Scholar

Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • Werner Kwang-Hua Chu
    • 1
  1. 1.Mucha, TaipeiTaiwan 116, Republic of China

Personalised recommendations