Pressure Oscillating Flow in Corrugated Parallel Channel

The approximate analytical solution of velocity is presented for incompressible and viscous fluid driven by the oscillation of the periodic pressure, between two slit parallel plates with corrugated walls by employing perturbation method. The corrugations of the two walls are described as periodic sinusoidal waves with small amplitude either in phase or half-period out of phase. Based on the analysis, we discuss the influence of the dimensionless parameters on velocity u^± and mean velocity parameter φ^± numerically, such as Reynolds number Re, nondimensional amplitude A of pressure gradient and wave number k.