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Spin-up phenomena in non-axisymmetric containers
| Content Provider | Scilit |
|---|---|
| Author | Heijst, G. J. F. Van |
| Copyright Year | 1989 |
| Description | The spin-up from rest of a contained homogeneous free-surface fluid has been examined in the laboratory for a variety of non-axisymmetric containers. It was found that in the spin-up process three stages can be distinguished before the fluid reaches the ultimate state of rigid-body rotation. When the container starts spinning, the non-axisymmetric lateral tank boundaries induce horizontal pressure gradients, and as a result relative flows arise instantaneously after the start of the experiment. The absolute vorticity of the starting flow is zero, and a description can be given in terms of potential theory. Theoretical solutions have been derived for a number of geometries, and comparison with experimentally observed streamline patterns shows good agreement. In the next stage, flow separation sets in, in most cases leading to locally intense three-dimensional turbulent flows. The basic rotation causes a transition from three-dimensional to two-dimensional motion, and a subsequent organization of the relative flow into a number of cells is observed. During the final stage, the flow in these cells gradually decays owing to the spin-up/spin-down mechanism provided by the Ekman layer at the bottom of each cell, until eventually the fluid is in solid-body rotation. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EF521C0BFD217439BC8FEFF79A231258/S0022112089002272a.pdf/div-class-title-spin-up-phenomena-in-non-axisymmetric-containers-div.pdf |
| Ending Page | 191 |
| Page Count | 21 |
| Starting Page | 171 |
| ISSN | 00221120 |
| e-ISSN | 14697645 |
| DOI | 10.1017/s0022112089002272 |
| Journal | Journal of Fluid Mechanics |
| Volume Number | 206 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1989-09-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of Fluid Mechanics Atomic, Molecular and Chemical Physics Flow Visualization Three Dimensional Potential Flow Laminar Flow Free Surface Boundary Layer Turbulent Flow |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Condensed Matter Physics Mechanical Engineering |
