The magnitude of viscous dissipation in strongly stratified two-dimensional convection
| Autor: | Laura K. Currie, Matthew K. Browning |
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| Rok vydání: | 2017 |
| Předmět: |
Physics
Viscous dissipation European research Fluid Dynamics (physics.flu-dyn) Magnitude (mathematics) FOS: Physical sciences Astronomy and Astrophysics Physics - Fluid Dynamics 01 natural sciences 010305 fluids & plasmas Astrophysics - Solar and Stellar Astrophysics 13. Climate action Space and Planetary Science 0103 physical sciences Regional science Astrophysics::Solar and Stellar Astrophysics 010303 astronomy & astrophysics Solar and Stellar Astrophysics (astro-ph.SR) |
| DOI: | 10.48550/arxiv.1707.08858 |
| Popis: | Convection in astrophysical systems must be maintained against dissipation. Although the effects of dissipation are often assumed to be negligible, theory suggests that in strongly stratified convecting fluids, the dissipative heating rate can exceed the luminosity carried by convection. Here we explore this possibility using a series of numerical simulations. We consider two-dimensional numerical models of hydrodynamic convection in a Cartesian layer under the anelastic approximation and demonstrate that the dissipative heating rate can indeed exceed the imposed luminosity. We establish a theoretical expression for the ratio of the dissipative heating rate to the luminosity emerging at the upper boundary, in terms only of the depth of the layer and the thermal scale height. In particular, we show that this ratio is independent of the diffusivities and confirm this with a series of numerical simulations. Our results suggest that dissipative heating may significantly alter the internal dynamics of stars and planets. Comment: 8 pages, 5 figures, accepted for publication in ApJ Letters |
| Databáze: | OpenAIRE |
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