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Entrainment and mixing dynamics of surface stress driven stratified flow in a cylinder Journal Article
| Authors: | Shravat A; Cenedese, C.; Caulfield, C. P. |
| Article Title: | Entrainment and mixing dynamics of surface stress driven stratified flow in a cylinder |
| Abstract: | We extend previous work of Boyer, Davies & Guo (Fluid Dyn. Res., vol. 21, 1997, pp. 381-401) to consider the evolution of an initially two-layer stratified fluid in a cylindrical tank which is driven by a horizontal rotating disk. The turbulent motions induced by the disk drive entrainment at the interface, and similarly to the results of Boyer et al. (1997), the layer nearer to the disk deepens. Through high-frequency conductivity probe measurements, we establish that the deepening layer is very well-mixed, and the thickness of the interface between the two evolving layers appears to be approximately constant. Under certain circumstances, we find that the rate of increase in depth of the deepening layer decreases with time, at variance with the results of Boyer et al. (1997), and implying that the characteristic velocity in the deepening layer decreases as the upper layer deepens. We propose that such time-dependent deepening, and the associated weakening of the upper-layer velocities, occurs naturally because of the combined power requirements of entrainment and layer homogenization which inhibit, when the stratification is very strong, the characteristic velocities of the deepening layer approaching the (constant) velocities of the driving disk, as assumed by Boyer et al. (1997). |
| Keywords: | MODEL; CIRCULATION; ENERGY; LAYERS; FLUID; TURBULENT ENTRAINMENT; VERTICAL DIFFUSION; Turbulent mixing; Rotation; DISK; DENSITY INTERFACE; stratified flows; stratified turbulence |
| Journal Title: | Journal of Fluid Mechanics |
| Volume: | 691 |
| ISSN: | 0022-1120 |
| Publisher: | Cambridge University Press |
| Publication Place: | NEW YORK; 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA |
| Date Published: | 2012 |
| Start Page: | 498 |
| End Page: | 517 |
| DOI/URL: | |
| Notes: | PT: J; TC: 0; UT: WOS:000299593300023 |
