Abstract
Velocity profiles and phase characteristics in Stokes layer developed by oscillatory flows have been investigated experimentally and theoretically in relation to wave motion in a pipe, energy loss due to wall friction, breakdown to turbulent flow and so on.
A purely oscillatory flow is obtained by a standing wave induced by an air column oscillation in a closed duct. Finite amplitude wave motion with shock wave propagation is developed in a duct, as the amplitude of oscillation increases. The velocity profiles and the phase characteristics in Stokes layer are changed with the increase of the amplitude. And also the increase in the amplitude of oscillation causes the nonlinear phenomena in the layer such as steady pressure distribution, steady streaming and steady heat flux.
This paper describes numerical analysis of velocity profiles in Stokes layer developed by the finite amplitude oscillatory flow in a duct with shock wave propagation. In the analytical model, the oscillatory flow in a closed duct is obtained by an air column oscillation excited by a piston oscillating at the resonant frequency of the air column. The calculated results show that the velocity profiles in Stokes layer are modified by increasing of the amplitude of oscillation.
