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Fine-scale dynamics in turbulent Rayleigh-Benard convection

DOI: 10.1615/ICHMT.2015.THMT-15.760
pages 383-386

Firas Dabbagh
Heat and Mass Transfer Technological Center, Technical University of Catalonia ETSEIAT, C/Colom 11, 08222 Terrassa, Spain

F. Xavier Trias
Heat and Mass Transfer Technological Center (CTTC) Universitat Politecnica de Catalunya - BarcelonaTech (UPC) Colom 11, 08222 Terrassa, Barcelona, Spain; and Institute of Mathematics and Computing Science, University of Groningen, The Netherland

Andrey Gorobets
Heat and Mass Transfer Technological Center, Technical University of Catalonia ETSEIAT, C/Colom 11, 08222 Terrassa, Spain; Keldysh Institute of Applied Mathematics, 4A, Miusskaya Sq., Moscow 125047, Russia

Assensi Oliva
Centre Tecnologic de Transferencia de Calor (CTTC), Universitat Politecnica de Catalunya (UPC), Colom 11, 08222 Terrassa, Barcelona, Spain

要約

Several features of the small-scale turbulence in Rayleigh-Benard convection have been studied in this work. Namely, the average rates of change in the invariants of the velocity gradient tensor in the bulk region display the classical tear-drop shape. Moreover, the preferential vorticity alignment with the intermediate eigenvector of the rate-of-strain tensor has also been observed. Apart from this classical analysis, we propose to study the dynamics of the traceless part of the gradient of the velocity times temperature. The invariants of the new tensor are more appropriate to study the dynamics of the thermal plumes and the buoyancy production since they highlight zones with both high thermal and kinetic small-scale interactions.

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