Free and induced oscillations in Poiseuille flow
Abstract
Characteristic features inherent in the smalldisturbance propagation process in the fullydeveloped twodimensional incompressible flow through an infinite channel are discussed. The disturbances are generated by two oscillators located on the opposite walls. The typical Reynolds number is supposed to be large. The asymptotic analysis is done within the framework of the theory describing the free interaction of the viscous wall layers with the fluid core. The first mode of free disturbances appears to be either stable or unstable depending upon the wave length. Therefore the induced oscillations decay far downstream only for sufficiently low frequencies. As the frequency approaches some critical value, the damping decrement becomes indefinitely small.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 May 1983
 Bibcode:
 1983QJMAM..36..271B
 Keywords:

 Channel Flow;
 Incompressible Flow;
 Laminar Flow;
 Oscillating Flow;
 Small Perturbation Flow;
 Two Dimensional Flow;
 Frequencies;
 Oscillators;
 Pressure Distribution;
 Shear Stress;
 Fluid Mechanics and Heat Transfer