Secondary Flow Induced by an Unharmonically Oscillating Circular Cylinder
Abstract
This paper deals theoretically with the twodimensional flow driven by a circular cylinder which performs unharmonically translational oscillation in an unbounded viscous incompressible fluid otherwise at rest. Slow steady secondary flow occurs outside the oscillatory boundary layer around the cylinder, provided that the nondimensional amplitude of the oscillation \varepsilon and the boundary layer thickness are both extremely small. It is found that induced steady flow of O(\varepsilon) is symmetric with respect to the direction of the oscillation and vanishes at infinity; however, in O(\varepsilon^{2}) asymmetric steady streaming is induced in the main field and remains at infinity as a uniform flow in the direction of oscillation, due to the effect of the asymmetry in the motion of the circular cylinder.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 August 1975
 DOI:
 10.1143/JPSJ.39.519
 Bibcode:
 1975JPSJ...39..519M
 Keywords:

 Circular Cylinders;
 Oscillating Cylinders;
 Secondary Flow;
 Translational Motion;
 Two Dimensional Flow;
 Boundary Layer Stability;
 Boundary Value Problems;
 Flow Distribution;
 Incompressible Fluids;
 Structural Vibration;
 Viscous Fluids;
 Fluid Mechanics and Heat Transfer