2012/10/26 by David Goluskin, E. A. Spiegel, Edward A. Spiegel · 1 citation
Engineering · Physics and Astronomy · #Convection #Fluid Dynamics and Turbulent Flows #Heat Transfer Mechanisms #Internal heating #Mechanics #Nanofluid Flow and Heat Transfer #Nuclear physics #Physics #msc:76E06 #physics.flu-dyn #physics.geo-ph
paper · pdf · doi:10.1016/j.physleta.2012.10.037
published as Phys.Lett.A 377 (2012) 83-92 · 14 pages, 8 figures, 6 videos; to appear in Physics Letters A; Color and grayscale versions provided; v2: ancillary videos fixed
openalex publication_date 2012/10/26 · arxiv created 2012/11/02 · arxiv updated 2015/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 5x105 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.