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Horizontal convection is non-turbulent By
| Content Provider | Semantic Scholar |
|---|---|
| Author | Young, William R. |
| Copyright Year | 2002 |
| Abstract | Consider the problem of horizontal convection: a Boussinesq fluid, forced by applying nonuniform temperature at its top surface, with all other boundaries insulating. We prove that if the viscosity, ν, and thermal diffusivity, κ, are lowered to zero, with σ ≡ ν/κ fixed, then the energy dissipation per unit mass, ε, also vanishes in this limit. Numerical solutions of the two-dimensional case show that despite this anti-turbulence theorem, horizontal convection exhibits a transition to eddying flow, provided that the Rayleigh number is sufficiently high, or the Prandtl number σ sufficiently small. We speculate that horizontal convection is an example of a flow with a large-number of active modes which is nonetheless not ‘truly turbulent’ because ε → 0 in the inviscid limit. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://pordlabs.ucsd.edu/wryoung/reprintPDFs/PaparellaYoung2002.pdf |
| Alternate Webpage(s) | http://www-pord.ucsd.edu/~wryoung/reprintPDFs/PaparellaYoung2002.pdf |
| Alternate Webpage(s) | http://poincare.unile.it/franz/mypapers/antiTurbJFM.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Butterfly effect Cascade Device Component Convection Exhibits as Topic Gradient Initial condition Numerical method Onset (audio) Programming paradigm Rayleigh–Ritz method Richardson number Solutions Stratification Turbulence Uriel Frisch |
| Content Type | Text |
| Resource Type | Article |
