Applicability of Taylor's hypothesis in thermally driven turbulence

Kumar, Abhishek ; Verma, Mahendra K. (2018) Applicability of Taylor's hypothesis in thermally driven turbulence Royal Society Open Science, 5 (4). p. 172152. ISSN 2054-5703

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Official URL: http://doi.org/10.1098/rsos.172152

Related URL: http://dx.doi.org/10.1098/rsos.172152

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.

Item Type:Article
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ID Code:121531
Deposited On:19 Jul 2021 06:44
Last Modified:19 Jul 2021 06:44

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