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Explicit approximations to estimate the perturbative diffusivity in the presence of convectivity and damping. I. Semi-infinite slab approximations
http://hdl.handle.net/10655/00012866
http://hdl.handle.net/10655/00012866755fc7da-6280-485d-b1ed-040461c7dbad
名前 / ファイル | ライセンス | アクション |
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Phys.Plasmas21_pp112507 (1.7 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2021-12-28 | |||||
タイトル | ||||||
タイトル | Explicit approximations to estimate the perturbative diffusivity in the presence of convectivity and damping. I. Semi-infinite slab approximations | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者 |
BERKEL, Matthijs van
× BERKEL, Matthijs van× ZWART, H.J.× TAMURA, Naoki× HOGEWEIJ, G.M.D.× INAGAKI, Shigeru× DE BAAR, Marco Richard× IDA, Katsumi |
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著者ID | ||||||
内容記述タイプ | Other | |||||
内容記述 | 0000-0001-6574-3823 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, a number of new approximations are introduced to estimate the perturbative diffusivity (v), convectivity (V), and damping (s) in cylindrical geometry. For this purpose, the harmonic components of heat waves induced by localized deposition of modulated power are used. The approximations are based on semi-infinite slab approximations of the heat equation. The main result is the approximation of v under the influence of V and s based on the phase of two harmonics making the estimate less sensitive to calibration errors. To understand why the slab approximations can estimate v well in cylindrical geometry, the relationships between heat transport models in slab and cylindrical geometry are studied. In addition, the relationship between amplitude and phase with respect to their derivatives, used to estimate v, is discussed. The results are presented in terms of the relative error for the different derived approximations for different values of frequency, transport coefficients, and dimensionless radius. The approximations show a significant region in which v, V, and s can be estimated well, but also regions in which the error is large. Also, it is shown that some compensation is necessary to estimate V and s in a cylindrical geometry. On the other hand, errors resulting from the simplified assumptions are also discussed showing that estimating realistic values for V and s based on infinite domains will be difficult in practice. This paper is the first part (Part I) of a series of three papers. In Part II and Part III, cylindrical approximations based directly on semi-infinite cylindrical domain (outward propagating heat pulses) and inward propagating heat pulses in a cylindrical domain, respectively, will be treated. |
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書誌情報 |
Physics of Plasmas 巻 21, 号 11, p. 112507, 発行日 2014-11-24 |
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出版者 | ||||||
出版者 | AIP Publishing | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1070664X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA10987555 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1063/1.4901309 | |||||
権利 | ||||||
権利情報 | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Plasmas 21, 112507 (2014); and may be found at https://aip.scitation.org/doi/abs/10.1063/1.4901309. | |||||
情報源 | ||||||
関連名称 | Physics of Plasmas 21, 112507 (2014); https://doi.org/10.1063/1.4901309 | |||||
関連サイト | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1063/1.4901309 | |||||
関連名称 | Publisher version | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
NAIS | ||||||
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