SHORT WAVE INSTABILITY DUE TO WALL SLIP AND NUMERICAL OBSERVATION OF WALL-SLIP INSTABILITY FOR MICROCHANNEL FLOWS

摘要

In this paper the stability of an incompressible parallel flow with a linear wall slip proportional to the velocity gradient is analyzed. It is found that the wall slip causes short-wave instability. Numerical computations are performed for compressible flows in the slip flow region. Irregular structures develop near the lower wall (also near the upper wall), revealing that the instability is a short-wave one.