|Shravat A., Cenedese C. and Caulfield C.P., Entrainment and mixing dynamics of surface-stress-driven stratified flow in a cylinder, Submitted to J. Fluid Mech., 2011|
We extend previous work of Boyer, Davies & Guo (1997) to consider the evolution of an initially two-layer stratified fluid in a cylindrical tank which is driven by a horizontal rotating disc. The turbulent motions induced by the disc drive entrainment at the interface, and similarly to the results of Boyer et al. (1997), the layer nearer to the disc deepens. Through high-frequency conductivity probe measurements, we establish that the deepening layer is very well-mixed, and the depth 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 velocities in the deepening layer decrease 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 disc, as assumed by Boyer et al. (1997).