AIP Digital Archive
The steady fluid flow that is initiated by a cascade of cylinders, which oscillates harmonically in an unbounded, incompressible, viscous fluid that is otherwise at rest, is investigated, both numerically and experimentally. Finite-difference techniques are used to obtain the numerical solutions, and the streaming flow results show a reasonable agreement with the experimental data. It is found, both numerically and experimentally, that for large values of the streaming Reynolds number, Rs, the flow is not symmetrical about the axis of the oscillation, i.e., there exists a critical value of Rs, Rs0 say, such that the streaming flows for Rs(approximately-greater-than)Rs0 are unstable and those for Rs〈Rs0 are stable. In order to understand this asymmetry, a stability analysis is performed, and the agreement between the theory and the experimental results is encouraging.
Type of Medium: