A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model
This paper discusses a turbulent intermittency model introduced in 1990, the <i>B</i>-model. It was found that the original manuscript which introduced the <i>B</i>-model contained a couple arithmetic errors in the equations. This work goes over corrections to the original eq...
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MDPI AG
2019-02-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/4/1/35 |
| _version_ | 1818147678124507136 |
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| author | Christopher Locke Laurent Seuront Hidekatsu Yamazaki |
| author_facet | Christopher Locke Laurent Seuront Hidekatsu Yamazaki |
| author_sort | Christopher Locke |
| collection | DOAJ |
| description | This paper discusses a turbulent intermittency model introduced in 1990, the <i>B</i>-model. It was found that the original manuscript which introduced the <i>B</i>-model contained a couple arithmetic errors in the equations. This work goes over corrections to the original equations, and explains where problems arose in the derivations. These corrections cause the results to differ from those in the original manuscript, and these differences are discussed. A generalization of this <i>B</i>-model is then introduced to explore the range of behaviors this style of model provides. To distinguish between the different intermittency models discussed in this paper requires structure function power exponents of order greater than 12. As a source of comparison, data from a flume experiment is introduced, and, with the corrections introduced, this data seems to imply that an intermittency coefficient between <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.17</mn> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.2</mn> </mrow> </semantics> </math> </inline-formula> gives good agreement. Higher quality future measurements of high order moments could help with distinguishing the different intermittency models. |
| first_indexed | 2024-12-11T12:39:04Z |
| format | Article |
| id | doaj.art-3659405b7e4e4d9e84ef62f3923b01bf |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-12-11T12:39:04Z |
| publishDate | 2019-02-01 |
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| series | Fluids |
| spelling | doaj.art-3659405b7e4e4d9e84ef62f3923b01bf2022-12-22T01:07:01ZengMDPI AGFluids2311-55212019-02-01413510.3390/fluids4010035fluids4010035A Correction and Discussion on Log-Normal Intermittency <i>B</i>-ModelChristopher Locke0Laurent Seuront1Hidekatsu Yamazaki2Department of Ocean Sciences, Tokyo University of Marine Science and Technology, 4-5-7 Konan, Minato-ku, Tokyo 108-8477, JapanCNRS, Univ. Lille, Univ. Littoral Côte d’Opale, UMR 8187, LOG, Laboratoire d’Océanologie et de Géosciences, F 62930 Wimereux, FranceDepartment of Ocean Sciences, Tokyo University of Marine Science and Technology, 4-5-7 Konan, Minato-ku, Tokyo 108-8477, JapanThis paper discusses a turbulent intermittency model introduced in 1990, the <i>B</i>-model. It was found that the original manuscript which introduced the <i>B</i>-model contained a couple arithmetic errors in the equations. This work goes over corrections to the original equations, and explains where problems arose in the derivations. These corrections cause the results to differ from those in the original manuscript, and these differences are discussed. A generalization of this <i>B</i>-model is then introduced to explore the range of behaviors this style of model provides. To distinguish between the different intermittency models discussed in this paper requires structure function power exponents of order greater than 12. As a source of comparison, data from a flume experiment is introduced, and, with the corrections introduced, this data seems to imply that an intermittency coefficient between <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.17</mn> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.2</mn> </mrow> </semantics> </math> </inline-formula> gives good agreement. Higher quality future measurements of high order moments could help with distinguishing the different intermittency models.https://www.mdpi.com/2311-5521/4/1/35turbulence theoryintermittencybreakage model |
| spellingShingle | Christopher Locke Laurent Seuront Hidekatsu Yamazaki A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model Fluids turbulence theory intermittency breakage model |
| title | A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model |
| title_full | A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model |
| title_fullStr | A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model |
| title_full_unstemmed | A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model |
| title_short | A Correction and Discussion on Log-Normal Intermittency <i>B</i>-Model |
| title_sort | correction and discussion on log normal intermittency i b i model |
| topic | turbulence theory intermittency breakage model |
| url | https://www.mdpi.com/2311-5521/4/1/35 |
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