Statistics And Scaling In Turbulent Rayleigh-benard Convection by Emily S.C. ChingStatistics And Scaling In Turbulent Rayleigh-benard Convection by Emily S.C. Ching

Statistics And Scaling In Turbulent Rayleigh-benard Convection

byEmily S.C. Ching

Paperback | August 21, 2013

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This Brief addresses two issues of interest of turbulent Rayleigh-Bénard convection. The ?rst issue is the characterization and understanding of the statistics of the velocity and temperature ?uctuations in the system. The second issue is the revelation and understanding of the nature of the scaling behavior of the velocity temperature structure functions. The problem under the Oberbeck-Boussinesq approximation is formulated. The statistical tools, including probability density functions (PDF) and conditional statistics, for studying fluctuations are introduced, and implicit PDF formulae for fluctuations obeying certain statistical symmetries are derived. Applications of  these PDF formulae to study the fluctuations in turbulent Rayleigh-Bénard convection are then discussed. The phenomenology of the different types of scaling behavior: the Bolgiano-Obhukov scaling behavior when buoyancy effects are significant and the Kolmogorov-Obukhov-Corrsin scaling behavior when they are not, is introduced. A crossover between the two types of scaling behavior is expected to occur at the Bolgiano length scale above which buoyancy is important. The experimental observations are reviewed. In the central region of the convective cell, the Kolmogorov-Obukhov-Corrsin scaling behavior has been observed. On the other hand, the Bolgiano-Obukhov scaling remains elusive only until recently. By studying the dependence of the conditional temperature structure functions on the locally averaged thermal dissipation rate, evidence for the Bolgiano-Obukhov scaling has recently been found near the bottom plate. The different behaviors observed in the two regions could be attributed to the different size of the Bolgiano scale. What physics determines the relative size of the Bolgiano scale remains to be understood. The Brief is concluded by a discussion of these outstanding issues.

Dr. Emily S.C. Ching is a theoretical physicist, and is currently a Professor in the Department of Physics at the Chinese University of Hong Kong. Her general research interests lie in non-equilibrium systems, and particularly on the longstanding problem of fluid turbulence. She received her Ph.D. in Physics from the University of Chic...
Title:Statistics And Scaling In Turbulent Rayleigh-benard ConvectionFormat:PaperbackDimensions:65 pagesPublished:August 21, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814560227

ISBN - 13:9789814560221

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Table of Contents

The Rayleigh-Bénard Convection System.- Statistical Analysis of Turbulent Fluctuations.- Phenomenology and Scaling Theories.- Observed Scaling Behavior.- Summary and Outlook.