Stokes slip flow between corrugated walls
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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, consideringO(ε2) terms, and the decrease is maximum as the phase shift becomes 180 °.
Mathematics Subject Classification (1991)34E10 35B20 35C10 35J05 41A58 76D07 76P05
KeywordsStokes flow velocity-slip corrugations perturbations
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