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Self-preservation in a zero pressure gradient rough-wall turbulent boundary layer
| Content Provider | Scilit |
|---|---|
| Author | Talluru, K. M. Djenidi, L. Antonia, R. A. Kamruzzaman |
| Copyright Year | 2015 |
| Description | A self-preservation (SP) analysis is carried out for a zero pressure gradient (ZPG) rough-wall turbulent boundary layer with a view to establishing the requirements of complete SP (i.e. SP across the entire layer) and determining if these are achievable. The analysis shows that SP is achievable in certain rough-wall boundary layers (irrespectively of the Reynolds number $Re$ ), when the mean viscous stress is zero or negligible compared to the form drag across the entire boundary layer. In this case, the velocity scale $u^{\ast }$ must be constant, the length scale $l$ should vary linearly with the streamwise distance $x$ and the roughness height $k$ must be proportional to $l$ . Although this result is consistent with that of Rotta (Prog. Aeronaut. Sci., vol. 2 (1), 1962, pp. 1–95), it is derived in a more rigorous manner than the method employed by Rotta. Further, it is noted that complete SP is not possible in a smooth-wall ZPG turbulent boundary layer. The SP conditions are tested against published experimental data on both a smooth wall (Kulandaivelu, 2012, PhD thesis, The University of Melbourne) and a rough wall, where the roughness height increases linearly with $x$ (Kamedaet al.,J. Fluid Sci. Technol., vol. 3 (1), 2008, pp. 31–42). Complete SP in a ZPG rough-wall turbulent boundary layer seems indeed possible when $k\propto x$ . |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A90B07FA15DF7806C1D2A118215B4D4E/S0022112015006655a.pdf/div-class-title-self-preservation-in-a-zero-pressure-gradient-rough-wall-turbulent-boundary-layer-div.pdf |
| Ending Page | 69 |
| Page Count | 13 |
| Starting Page | 57 |
| ISSN | 00221120 |
| e-ISSN | 14697645 |
| DOI | 10.1017/jfm.2015.665 |
| Journal | Journal of Fluid Mechanics |
| Volume Number | 788 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2016-02-10 |
| Access Restriction | Open |
| Subject Keyword | Journal of Fluid Mechanics Fluids and Plasmas Physics Turbulent Boundary Layers Turbulent Flows |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Condensed Matter Physics Mechanical Engineering |
