Scaling in Internally Heated Convection: A Unifying Theory

Qi Wang, Detlef Lohse*, Olga Shishkina*

*Corresponding author for this work

Research output: Contribution to journalLetterAcademicpeer-review

22 Citations (Scopus)
109 Downloads (Pure)


We offer a unifying theory for turbulent, purely internally heated convection, generalizing the unifying theories of Grossmann and Lohse (2000,; 2001, for Rayleigh-Bénard turbulence and of Shishkina et al. (2016, for turbulent horizontal convection, which are both based on the splitting of the kinetic and thermal dissipation rates in respective boundary and bulk contributions. We obtain the mean temperature of the system and the Reynolds number (which are the response parameters) as function of the control parameters, namely the internal thermal driving strength (called, when nondimensionalized, the Rayleigh-Roberts number) and the Prandtl number. The results of the theory are consistent with our direct numerical simulations of the Boussinesq equations.

Original languageEnglish
Article numbere2020GL091198
JournalGeophysical research letters
Issue number4
Publication statusPublished - 28 Feb 2021


  • UT-Hybrid-D
  • internal heating
  • convection


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