Turbulent flow over a long flat plate with uniform roughness
- Creators
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Pullin, D. I.
- Hutchins, N.
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Chung, D.
Abstract
For turbulent boundary-layer flow under a uniform freestream speed U∞ over a plate of length L, covered with uniform roughness of nominal sand-grain scale k_s, the physical behaviors underlying two distinguished limits at large Re_L≡U∞L/ν are explored: the fully rough wall flow where k_s/L is fixed and the long-plate limit where Re_k≡U∞k_s/ν is fixed. For the fully rough limit it is shown that not only is the drag coefficient C_D independent of Re_L but that a universal skin-friction coefficient C_f and normalized boundary-layer thickness δ/k_s can be found that depends only on ks_/x, where x is the downstream distance. In the long-plate limit, it is shown that the flow becomes asymptotically smooth at huge Re_L at a rate that depends on Re_k. Comparisons with wind-tunnel and field data are made.
Additional Information
© 2017 American Physical Society. Received 7 March 2017; published 31 August 2017. This research was supported under Australian Research Council's Discovery Projects funding scheme (Grant No. DP160102279) and partially by NSF Award No. CBET 1235605.Attached Files
Published - PhysRevFluids.2.082601.pdf
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Additional details
- Eprint ID
- 81023
- Resolver ID
- CaltechAUTHORS:20170831-132932417
- Australian Research Council
- DP160102279
- NSF
- CBET-1235605
- Created
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2017-08-31Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- GALCIT