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Statistical Analysis of Turbulent Fluctuations

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Statistics and Scaling in Turbulent Rayleigh-Bénard Convection

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSAPPLSCIENCES))

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Abstract

We first introduce the basic statistical tools, including probability density functions (PDF) and conditional statistics, for studying fluctuations in general. Then we discuss the closure problem in turbulence. Because of this closure problem, exact implicit relations between different statistical quantities are useful. We derive two implicit results relating the PDF of fluctuations to two conditional means respectively for stationary and statistically homogeneous fluctuations. Furthermore, we discuss how these implicit PDF formulae have been applied to studying the temperature fluctuations in turbulent Rayleigh–Bénard convection, and the implications of the results obtained.

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Authors and Affiliations

  1. Department of Physics, The Chinese University of Hong Kong, Room G5, G/F, Science Centre North Block, Hong Kong, Hong Kong SAR

    Emily S. C. Ching

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  1. Emily S. C. Ching
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Correspondence to Emily S. C. Ching .

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Ching, E.S.C. (2014). Statistical Analysis of Turbulent Fluctuations. In: Statistics and Scaling in Turbulent Rayleigh-Bénard Convection. SpringerBriefs in Applied Sciences and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-4560-23-8_2

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  • DOI: https://doi.org/10.1007/978-981-4560-23-8_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-4560-22-1

  • Online ISBN: 978-981-4560-23-8

  • eBook Packages: EngineeringEngineering (R0)

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