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Temperature statistics in turbulent Rayleigh–Bénard convection

Title data

Lülff, Johannes ; Wilczek, Michael ; Friedrich, Rudolf:
Temperature statistics in turbulent Rayleigh–Bénard convection.
In: New Journal of Physics. Vol. 13 (2011) Issue 1 . - No. 015002.
ISSN 1367-2630
DOI: https://doi.org/10.1088/1367-2630/13/1/015002

Abstract in another language

Rayleigh–Bénard (RB) convection in the turbulent regime is studied using statistical methods. Exact evolution equations for the probability density function of temperature and velocity are derived from first principles within the framework of the Lundgren–Monin–Novikov hierarchy known from homogeneous isotropic turbulence. The unclosed terms arising in the form of conditional averages are estimated from direct numerical simulations. Focusing on the statistics of temperature, the theoretical framework allows us to interpret the statistical results in an illustrative manner, giving deeper insights into the connection between dynamics and statistics of RB convection. The results are discussed in terms of typical flow features and the relation to the heat transfer.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Michael Wilczek
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: No
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 23 Feb 2022 08:15
Last Modified: 23 Feb 2022 08:15
URI: https://eref.uni-bayreuth.de/id/eprint/67559