Similarities between 2D and 3D convection for large Prandtl number

Similarities between 2D and 3D convection for large Prandtl number

Chatterjee, A.
Pandey, A.
Verma, M.
Dutta, B.

2015-08-27

Using direct numerical simulations of Rayleigh-B\'enard convection (RBC), we perform a comparative study of the spectra and fluxes of energy and entropy for large and infinite Prandtl numbers in two (2D) and three (3D) dimensions. We observe close similarities between the 2D and 3D RBC, in particular the kinetic energy spectrum $E_u(k) \sim k^{-13/3}$, and the entropy spectrum exhibits a dual branch with a dominant $k^{-2}$ spectrum. We showed that the dominant Fourier modes in the 2D and 3D flows are very close.

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