Applicability of Taylor's hypothesis in thermally driven turbulence

Abhishek Kumar, Mahendra K. Verma

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    Abstract

    In this paper, we show that in the presence of large-scale circulation (LSC), Taylor's hypothesis can be invoked to deduce the energy spectrum in thermal convection using real space probes, a popular experimental tool. We perform numerical simulation of turbulent convection in a cube and observe that the velocity field follows Kolmogorov's spectrum ($k^{-5/3}$). We also record the velocity time series using real space probes near the lateral walls. The corresponding frequency spectrum exhibits Kolmogorov's spectrum ($f^{-5/3}$), thus validating Taylor's hypothesis with the steady LSC playing the role of a mean velocity field. The aforementioned findings based on real space probes provide valuable inputs for experimental measurements used for studying the spectrum of convective turbulence.
    Original languageEnglish
    Article number172152
    Number of pages15
    JournalRoyal Society Open Science
    Volume5
    Early online date18 Apr 2018
    DOIs
    Publication statusPublished - Apr 2018

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    Bibliographical note

    Published by the Royal Society under the terms of the Creative Commons
    Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

    Keywords

    • physics.flu-dyn
    • physics.ao-ph
    • physics.geo-ph

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