Stable and unstable stratification
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Stable stratification of fluids occurs when each layer is less dense than the one below it. Unstable stratification is when each layer is denser than the one below it.
Buoyancy forces tend to preserve stable stratification; the higher layers float on the lower ones. In unstable stratification, on the other hand, buoyancy forces cause convection. The less-dense layers rise though the denser layers above, and the denser layers sink though the less-dense layers below. Stratifications can become more or less stable if layers change density. The processes involved are important in many science and engineering fields.
Destablization and mixing
[edit]![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/a8/LSE_Stratification.png/550px-LSE_Stratification.png)
Stable stratifications can become unstable if layers change density. This can happen due to outside influences (for instance, if water evaporates from a freshwater lens, making it saltier and denser, or if a pot or layered beverage is heated from below, making the bottom layer less dense). However, it can also happen due to internal diffusion of heat (the warmer layer slowly heats the adjacent cooler one) or other physical properties. This often causes mixing at the interface, creating new diffusive layers (see photo of coffee and milk).
Sometimes, two physical properties diffuse between layers simultaneously; salt and temperature, for instance. This may form diffusive layers or even salt fingering, when the surfaces of the diffusive layers become so wavy that there are "fingers" of layers reaching up and down.
Not all mixing is driven by density changes. Other physical forces may also mix stably-stratified layers. Sea spray and whitecaps (foaming whitewater on waves) are examples of water mixed into air, and air into water, respectively. In a fierce storm the air/water boundary may grow indistinct. Some of these wind waves are Kelvin-Helmholtz waves.[1]
Depending on the size of the velocity difference and the size of the density contrast between the layers, Kelvin-Helmholtz waves can look different. For instance, between two layers of air or two layers of water, the density difference is much smaller and the layers are miscible; see black-and-white model video.
Applications
[edit]Planetary science
[edit]![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Models_of_mantle_dynamics.jpg/220px-Models_of_mantle_dynamics.jpg)
Stratification is commonly seen in the planetary sciences.
Solar energy passes as visible radiation through the air, and is absorbed by the ground, to be re-emitted as heat radiation. The lower atmosphere is therefore heated from below (UV absorption in the ozone layer heats that layer from within). Outdoor air is thus usually unstably stratified and convecting, giving us wind. Temperature inversions are a weather event which happens whenever an area of the lower atmosphere becomes stably-stratified and thus stops moving.[2][3]
Oceans, on the other hand, are heated from above, and are usually stably stratified. Only near the poles does the coldest and saltiest water sink. The deep ocean waters slowly warm and freshen through internal mixing (a form of double diffusion[4]), and then rise back to the surface.
Examples:
- Ocean stratification, the formation of water layers based on temperature and salinity in oceans
- Lake stratification, the formation of water layers based on temperature, with mixing in the spring and fall in seasonal climates.
- Atmospheric instability
- Atmospheric stratification, the dividing of the upper reaches of the Earth's atmosphere into stably-stratified layers
- Atmospheric circulation, caused by the unstable stratification of the atmosphere
- Thermohaline circulation, circulation in the oceans despite stable stratification.
- Stratified flows (such as the flow through the Straits of Gibraltar)
Engineering
[edit]![](http://upload.wikimedia.org/wikipedia/commons/thumb/6/69/UFAD_Air_Stratification_Example_Diagram.jpg/550px-UFAD_Air_Stratification_Example_Diagram.jpg)
In engineering applications, stable stratification or convection may or may not be desirable. In either case it may be deliberately manipulated. Stratification can strongly affect the mixing of fluids,[5] which is important in many manufacturing processes.
- Underfloor heating deliberately creates unstable stratification of the air in a room.
- Passive cooling relies on selectively encouraging and disrupting stable stratification to cool rooms.
References
[edit]- ^ a b Zell, Holly; Fox, Karen C. (30 December 2014). "NASA's Solar Dynamics Observatory Catches "Surfer" Waves on the Sun". NASA.
- ^ Mahrt, L. (3 January 2014). "Stably Stratified Atmospheric Boundary Layers" (PDF). Annual Review of Fluid Mechanics. 46 (1): 23–45. Bibcode:2014AnRFM..46...23M. doi:10.1146/annurev-fluid-010313-141354.
- ^ "Stable and unstable atmospheric stratification in simple words". WINDY.APP.
- ^ Maiti, D. K.; Gupta, A. S.; Bhattacharyya, S. (1 December 2008). "Stable/Unstable Stratification in Thermosolutal Convection in a Square Cavity". Journal of Heat Transfer. 130 (12): 122001. doi:10.1115/1.2969757.
- ^ Xu, Duo; Chen, Jun (December 2016). "On the mixing models for stratified flows subjected to concomitant stable and unstable stratifications". Journal of Turbulence. 17 (12): 1087–1111. Bibcode:2016JTurb..17.1087X. doi:10.1080/14685248.2016.1223846.