Classical and symmetrical horizontal convection: detaching plumes and oscillations
Philipp Reiter, Olga Shishkina
Abstract
Classical and symmetrical horizontal convection is studied by means of direct numerical simulations for Rayleigh numbers Ra up to 3 10 12 and Prandtl numbers Pr = 0.1, 1 and 10. For both set-ups, a very good agreement in global quantities with respect to heat and momentum transport is attained. Similar to Shishkina & Wagner (Phys. Rev. Lett., vol. 116, 2016, 024302), we find Nusselt number Nu versus Ra scaling transitions in a region 10 8 Ra 10 11 . Above a critical Ra, the flow undergoes either a steady-oscillatory transition (small Pr) or a transition from steady state to a transient state with detaching plumes (large Pr). The onset of the oscillations takes place at Ra Pr -1 5 10 9 and the onset of detaching plumes at Ra Pr 5/4 9 10 10 . These onsets coincide with the onsets of scaling transitions.