Applicability of Taylor's hypothesis in thermally driven turbulence
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 th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2018-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.172152 |
| _version_ | 1819009331180339200 |
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| author | Abhishek Kumar Mahendra K. Verma |
| author_facet | Abhishek Kumar Mahendra K. Verma |
| author_sort | Abhishek Kumar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T00:54:40Z |
| format | Article |
| id | doaj.art-5a56516495404784a8ae09b7d0d9ba7d |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-21T00:54:40Z |
| publishDate | 2018-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-5a56516495404784a8ae09b7d0d9ba7d2022-12-21T19:21:20ZengThe Royal SocietyRoyal Society Open Science2054-57032018-01-015410.1098/rsos.172152172152Applicability of Taylor's hypothesis in thermally driven turbulenceAbhishek KumarMahendra K. VermaIn 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.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.172152turbulenceturbulent convection |
| spellingShingle | Abhishek Kumar Mahendra K. Verma Applicability of Taylor's hypothesis in thermally driven turbulence Royal Society Open Science turbulence turbulent convection |
| title | Applicability of Taylor's hypothesis in thermally driven turbulence |
| title_full | Applicability of Taylor's hypothesis in thermally driven turbulence |
| title_fullStr | Applicability of Taylor's hypothesis in thermally driven turbulence |
| title_full_unstemmed | Applicability of Taylor's hypothesis in thermally driven turbulence |
| title_short | Applicability of Taylor's hypothesis in thermally driven turbulence |
| title_sort | applicability of taylor s hypothesis in thermally driven turbulence |
| topic | turbulence turbulent convection |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.172152 |
| work_keys_str_mv | AT abhishekkumar applicabilityoftaylorshypothesisinthermallydriventurbulence AT mahendrakverma applicabilityoftaylorshypothesisinthermallydriventurbulence |