Scaling and spatial intermittency of thermal dissipation in turbulent convection
Type
ArticleKAUST Department
Fluid and Plasma Simulation Group (FPS)Mechanical Engineering
Mechanical Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
Project No. k1052Date
2019-07-16Preprint Posting Date
2019-04-06Online Publication Date
2019-07-16Print Publication Date
2019-07Embargo End Date
2020-07-16Permanent link to this record
http://hdl.handle.net/10754/656183
Metadata
Show full item recordAbstract
We derive scaling relations for the thermal dissipation rate in the bulk and in the boundary layers for moderate and large Prandtl number (Pr) convection. Using direct numerical simulations of Rayleigh-Bénard convection, we show that the thermal dissipation in the bulk is suppressed compared to passive scalar dissipation. The suppression is stronger for large Pr. We further show that the dissipation in the boundary layers dominates that in the bulk for both moderate and large Pr. The probability distribution functions of thermal dissipation rate, both in the bulk and in the boundary layers, are stretched exponential, similar to passive scalar dissipation.Citation
Bhattacharya, S., Samtaney, R., & Verma, M. K. (2019). Scaling and spatial intermittency of thermal dissipation in turbulent convection. Physics of Fluids, 31(7), 075104. doi:10.1063/1.5098073Sponsors
We thank A. Pandey, A. Guha, and R. Samuel for useful discussions. Our numerical simulations were performed on Shaheen II at Kaust Supercomputing Laboratory, Saudi Arabia, under the Project No. k1052. This work was supported by the research Grant No. PLANEX/PHY/2015239 from Indian Space Research Organisation, India, and by the Department of Science and Technology, India (Grant No. INT/RUS/RSF/P-03), and the Russian Science Foundation, Russia (Grant No. RSF-16-41-02012), for the Indo-Russian project.Publisher
AIP PublishingJournal
Physics of FluidsarXiv
1904.03457Additional Links
http://aip.scitation.org/doi/10.1063/1.5098073ae974a485f413a2113503eed53cd6c53
10.1063/1.5098073