円管を伝わる進行波によって誘起される2次流れ

抄録

Behavior of fluid with main flow in a circular tube, in which progressive waves are propagating, is analyzed. We assume that the fluid is viscous and in-compressible and axisymmetric travelling sinusoidal waves of moderate amplitude are imposed on the wall of the tube. A perturbation method' is adopted for the solution. The velosity ratio of the vibration velocity of the wall to the maximum velocity of the main flow is chosen as a parameter, and the Navier-Stokes equation is developed up to the second order of the velocity ratio. The results show that the solution is characterized by a non dimensional number for the case of a wave which has a long wavelength, and that the mean axial velocity induced in the tube is dominated by three critical terms.