Incompressible Viscous Flow past a Flat Plate with Injection or Suction

Abstract

For laminar incompressible viscous flow past a semi-infinite flat plate with an injection or suction velocity v₀=C₀/√(2Re), the numerical solutions of the Navier-Stokes equations are obtained by the alternating direction implicit method. It is shown that there exists a reverse flow region near the leading edge of a flat plate with injection so that the dividing streamline is detached from the leading edge. The value of the surface vorticity function at zero Reynolds number limit is fount to become smaller than that of the high Reynolds number limit for large suction rates in contrast to both cases of flows without mass transfer and with injection. It is found at finite Reynolds number above 20 that the skin-friction value increasingly deviates from the boundary-layer solution with increase of the injection rate C₀, and that it remains finite even at the critical 'blow off' value of C₀.