Secondary instability of salt sheets
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ID: 308123
2011
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Abstract
3 In the presence of a vertically varying horizontal current (background shear), the salt-fingering 4 instability is supplanted by the salt-sheet instability. Previous direct numerical simulation (DNS) 5 experiments on salt sheets revealed that flow become turbulent via secondary instabilities. We 6 call these instabilities zig-zag and tip modes. Here, we investigate the physics of these modes us7 ing linear normal mode stability analysis. As the primary instability (salt-sheet instability) grows, 8 the zig-zag mode emerges, which denotes undulation of growing salt sheets at the center of fin9 gering regions. This mode is shown to be an extension of secondary instability of unsheared 10 two-dimensional salt-fingering. The zig-zag mode is amplifed almost uniformly at all horizontal 11 wavelengths exceeding O(1m). This mechanism may therefore account for the tilted laminae seen 12 in shadowgraph images of microstructure in salt fingering regions. Subsequently, the tip mode ap13 pears at the tips of undulating salt sheets introducing streamwise dependence that leads the flow 14 into turbulent regime. 15
| Reference Key |
openalex_W2331965653
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|---|---|
| Authors | Satoshi Kimura, William D. Smyth |
| Journal | journal of marine research |
| Year | 2011 |
| DOI |
10.1357/002224011798147624
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| URL | |
| Keywords | Keywords not found |
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