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• W2765505979 abstract "Dynamics of plumes driven by localized heating in a stably stratified ambient Juan M. Lopez 1 and Francisco Marques 2 School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona jmlopez@asu.edu Departament de F´isica Aplicada, Universitat Polit`ecnica de Catalunya, Barcelona francisco.marques@upc.es Abstract The transition from laminar to complex spatio-temporal dynamics of a plume driven by a localized heat source at the bottom of an enclosed cylinder whose sidewall is maintained at a fixed temperature which varies linearly up the wall is studied. Restricting the dy- namics to the axisymmetric subspace, the first instability is to a puffing state. However, for smaller Grashof numbers, the plume becomes unstable to three-dimensional pertur- bations and a swirling plume spontaneously appears. The next bifurcation also exhibits puffing and suggests a connection between the unstable axisymmetric puffing solution and the swirling plume. Further bifurcations result in quasi-periodic states with a very low-frequency modulation, and these eventually become spatio-temporally complex. Introduction Plumes due to localized buoyancy sources are of wide interest due to their prevalence in many geophysical situations. Several experiments have reported that this transition is sensitive to external perturbations. The present study was motivated by the long-standing puzzle that for many plumes, including some geophysical plumes, swirl is sometimes observed, and yet there is not a generally accepted explanation of where it comes from, particularly for plumes whose scales are such that the Coriolis force is not expected to be a primary factor. For the most part, explanations rely on the focusing and amplification of background rotation or shear near the ground by the updraft from the plume. The important issue is to determine if the swirl arises due to extraneous effects (ambient rotation or ambient shear) or due to intrinsic effects. One way to determine this is to eliminate external disturbances, and this is done by employing an enclosed geometry. The laboratory experiments of Torrance (1979) considered a plume in a completely enclosed cylinder driven by a localized hot spot on the bottom boundary. In a parameter regime where the ambient stratification is not too weak or too strong, the onset of swirl in the plume was observed, but no details of the flow nor any explanation of what the swirl was due to were offered. Nevertheless, the completely enclosed experiments suggest that the onset of swirl could be intrinsic to the plume dynamics. Governing equations and numerical technique Consider a cylinder of radius R and length L, with an imposed temperature profile at the cylinder wall. The bottom endwall has a fixed temperature T 0 ∗ except for a disk of diameter D at the bottom center with a hotter temperature T h ∗ . The top endwall is kept at a temperature T t ∗ , and the temperature varies linearly along the sidewall between T 0 ∗ VIII th Int. Symp. on Stratified Flows, San Diego, USA, Aug. 29 - Sept. 1, 2016" @default.
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• W2765505979 date "2016-08-30" @default.
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• W2765505979 title "Dynamics of plumes driven by localized heating in a stably stratified ambient" @default.
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