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Please use this identifier to cite this item:
http://hdl.handle.net/2142/986
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| Title: |
Wall-induced forces on a rigid sphere at finite Reynolds number |
| Authors: |
Zeng, Lanying
Balachandar, S.
Fischer, Paul |
| Keywords: |
Fluid mechanics |
| Issue Date: |
2005 |
| Publisher: |
Cambridge University Press |
| Citation Information: |
Lanying Zeng, S. Balachandar, and Paul Fischer. Wall-induced forces on a rigid sphere at finite Reynolds number. Journal of Fluid Mechanics (2005), vol. 536, pp. 1–25. |
| Abstract / Summary: |
We perform direct numerical simulations of a rigid sphere translating parallel to
a flat wall in an otherwise quiescent ambient fluid. A spectral element method is
employed to perform the simulations with high accuracy. For Re<100, we observe
the lift coefficient to decrease with both Reynolds number and distance from the
wall. In this regime the present results are in good agreement with the low-Reynoldsnumber
theory of Vasseur & Cox (1977), with the recent experiments of Takemura &
Magnaudet (2003) and with the simulations of Kim et al. (1993). The most surprising
result from the present simulations is that the wall-induced lift coefficient increases
dramatically with increasing Re above about 100. Detailed analysis of the flow field
around the sphere suggests that this increase is due to an imperfect bifurcation
resulting in the formation of a double-threaded wake vortical structure. In addition
to a non-rotating sphere, we also simulate a freely rotating sphere in order to assess
the importance of free rotation on the translational motion of the sphere. We observe
the effect of sphere rotation on lift and drag forces to be small. We also explore the
effect of the wall on the onset of unsteadiness. |
| URI: |
http://hdl.handle.net/2142/986 |
| DOI: |
10.1017/S0022112005004738 |
| Type of Resource: |
text |
| Genre of Resource: |
article |
| Publication Status: |
published or submitted for publication |
| Peer-Reviewed: |
is peer reviewed |
| Appears in Collections: |
Theoretical and Applied Mechanics (TAM) Published Papers
|
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