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Turbulent flow over a long flat plate with uniform roughness

Pullin, D. I. and Hutchins, N. and Chung, D. (2017) Turbulent flow over a long flat plate with uniform roughness. Physical Review Fluids, 2 (8). Art. No. 082601. ISSN 2469-990X.

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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.

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Chung, D.0000-0003-3732-364X
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.
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Australian Research CouncilDP160102279
Issue or Number:8
Record Number:CaltechAUTHORS:20170831-132932417
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81023
Deposited By: Tony Diaz
Deposited On:31 Aug 2017 20:35
Last Modified:03 Oct 2019 18:37

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