期刊
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 462, 期 2067, 页码 913-933出版社
ROYAL SOC
DOI: 10.1098/rspa.2005.1607
关键词
slender-body theory; unsteady Stokes flow; resistive-force theory
资金
- Engineering and Physical Sciences Research Council [GR/R88991/01] Funding Source: researchfish
We compute the drag on a slender rigid cylinder, of uniform circular cross-section, oscillating in a viscous fluid at small amplitude near a horizontal wall. The cylinder's axis lies at an angle a to the horizontal and the cylinder oscillates in a vertical plane normal to either the wall or its own axis. The flow is described using an unsteady slender-body approximation, which we treat both numerically and using an iterative scheme that extends resistive-force theory to account for the leading-order effects of unsteady inertia and the wall. When a is small. two independent screening mechanisms are identified which suppress end-effects and produce approximately two-dimensional flow-along the majority of the cylinder; however, three-dimensional effects influence the drag at larger tilt angles.
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