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Prandtl–Blasius temperature and velocity boundary-layer profiles in turbulent Rayleigh–Bénard convection
| Content Provider | Scilit |
|---|---|
| Author | Zhou, Quan Stevens, Richard J. A. M. Sugiyama, Kazuyasu Grossmann, Siegfried Lohse, Detlef Xia, Ke-Qing |
| Copyright Year | 2010 |
| Description | The shapes of the velocity and temperature profiles near the horizontal conducting plates' centre regions in turbulent Rayleigh–Bénard convection are studied numerically and experimentally over the Rayleigh number range $10^{8}$ ≲ Ra ≲ 3 × $10^{11}$ and the Prandtl number range 0.7 ≲ Pr ≲ 5.4. The results show that both the temperature and velocity profiles agree well with the classical Prandtl–Blasius (PB) laminar boundary-layer profiles, if they are re-sampled in the respective dynamical reference frames that fluctuate with the instantaneous thermal and velocity boundary-layer thicknesses. The study further shows that the PB boundary layer in turbulent thermal convection not only holds in a time-averaged sense, but is most of the time also valid in an instantaneous sense. |
| Related Links | http://arxiv.org/pdf/1002.1339 http://arxiv.org/abs/1002.1339 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/585423472B5C6B86DF8FF7A11FC75FCA/S0022112010003824a.pdf/div-class-title-prandtl-blasius-temperature-and-velocity-boundary-layer-profiles-in-turbulent-rayleigh-benard-convection-div.pdf |
| Ending Page | 312 |
| Page Count | 16 |
| Starting Page | 297 |
| ISSN | 00221120 |
| e-ISSN | 14697645 |
| DOI | 10.1017/s0022112010003824 |
| Journal | Journal of Fluid Mechanics |
| Volume Number | 664 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2010-12-10 |
| Access Restriction | Open |
| Subject Keyword | Journal of Fluid Mechanics Bénard Convection |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Condensed Matter Physics Mechanical Engineering |
