Convection driven by internal heating
arXiv:1210.8154 · doi:10.1016/j.physleta.2012.10.037
Abstract
Two-dimensional direct numerical simulations are conducted for convection sustained by uniform internal heating in a horizontal fluid layer. Top and bottom boundary temperatures are fixed and equal. Prandtl numbers range from 0.01 to 100, and Rayleigh numbers (R) are up to 5x10^5 times the critical R at the onset of convection. The asymmetry between upward and downward heat fluxes is non-monotonic in R. In a broad high-R regime, dimensionless mean temperature scales as R^{-1/5}. We discuss the scaling of mean temperature and heat-flux-asymmetry, which we argue are better diagnostic quantities than the conventionally used top and bottom Nusselt numbers.
14 pages, 8 figures, 6 videos; to appear in Physics Letters A; Color and grayscale versions provided; v2: ancillary videos fixed
References in corpus (1)
Cited by in corpus (13)
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- Scaling in internally heated convection: a unifying theory
- Penetrative Convection at High Rayleigh Numbers
- Bounds on heat transport for convection driven by internal heating
- Transition between Boundary-Limited Scaling and Mixing-Length Scaling of Turbulent Transport in Internally Heated Convection
- Analytical bounds on the heat transport in internally heated convection
- Ergodicity in Randomly Forced Rayleigh-Bénard Convection
- Bounds on heat transfer by incompressible flows between balanced sources and sinks
- Realizing the ultimate scaling of the convection turbulence by spatially decoupling the thermal and viscous boundary layers
- Rigorous scaling laws for internally heated convection at infinite Prandtl number
- Internally heated convection with rotation: bounds on heat transport
- Internally heated and fully compressible convection: flow morphology and scaling laws
- Prandtl number dependence of rotating internally heated convection