Abstract
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 (K n) herein, 0.01 ≤K n≤ 0.1, the total flow rate is increasing as a ratio of 1 + 6K nto no-slip Stokes flow. If we consider fixedK ncases, the corrugations still decrease the flow rate, consideringO(ε2) terms, and the decrease is maximum as the phase shift becomes 180 °.
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Kwang-Hua Chu, W. Stokes slip flow between corrugated walls. Z. angew. Math. Phys. 47, 591–599 (1996). https://doi.org/10.1007/BF00914873
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DOI: https://doi.org/10.1007/BF00914873