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- Title
The flow of high-Reynolds axisymmetric gravity currents of a stratified fluid into a stratified ambient: shallow-water and box model solutions.
- Authors
Zemach, T.; Ungarish, M.
- Abstract
We consider the axisymmetric flow (in a full cylinder or a wedge) of high-Reynolds-number Boussinesq gravity currents and intrusions systems in which both the ambient and the propagating 'current' are linearly stratified. The main focus is on a current of fixed volume released from a cylinder lock; the height ratio of the fluids H, and the stratification parameter of the ambient S, are quite general. We develop a one-layer shallow-water model. The internal stratification enters as a new dimensionless parameter, $${\sigma \in [0, 1]}$$. In general, the time-dependent motion is obtained by standard finite-difference solutions; a self-similar analytical solution exists for S = 0. We show that, in general, the speed of propagation decreases when the internal stratification becomes more pronounced ( σ increases). We also developed a box-model approximation, and show that the resulting radius of propagation is in good agreement with the more rigorous shallow-water prediction.
- Subjects
FLUID dynamic measurements; REYNOLDS number; GRAVITY; HYDRAULICS; AXIAL flow; ENGINE cylinder hydrodynamics; SHALLOW-water equations; STRATIFIED flow
- Publication
Environmental Fluid Mechanics, 2012, Vol 12, Issue 4, p347
- ISSN
1567-7419
- Publication type
Article
- DOI
10.1007/s10652-012-9235-6