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弱い一様な乱れの理論Ⅲ
http://hdl.handle.net/10091/10990
http://hdl.handle.net/10091/10990d3b2b583-8e10-4ae1-91b6-6ad2dde497aa
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Engineering33-05.pdf (708.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2011-01-05 | |||||
| タイトル | ||||||
| タイトル | 弱い一様な乱れの理論Ⅲ | |||||
| タイトル | ||||||
| タイトル | Theory of Weak Homogeneous Turbulence Ⅲ | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| 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 | departmental bulletin paper | |||||
| 著者 |
大路, 通雄
× 大路, 通雄 |
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| 出版者 | ||||||
| 出版者 | 信州大学工学部 | |||||
| 引用 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 信州大学工学部紀要 33: 37-54 (1972) | |||||
| 書誌情報 |
信州大学工学部紀要 巻 33, p. 37-54, 発行日 1972-12-25 |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The expansion in powers of Reynolds number R for weak homogeneous turbulence of Burgers' model fluid is extended to the fourth approximation. The solution is composed of the quasi-normal cotribution and the fourth-cumulant contribution. The quasi-normal approximation retains the former only, while Deissler's approximation is solely concerned with the latter. Mathematical procedures are straightforward in principle but exceedingly tedious in practice because of the generation of very many terms representing a complicated structure of higher order interactions. As an accessible example, the case of a line spectrum model (Dirac's δprofile) is worked out. It is thus found that both of the quasi-normal and fourth-cumulant contributions are comparable in magnitude and that they remain essentially positive except in an early stage of decay. This result is in favor of delaying the appearance of negative energy spectra to improve the lower approximations partly, yet may produce a negative decay when the value of R is a little too large. Incidentally, the first-order effect of nonnormality in the initial probability distribution is discussed in some detail. To conclude the paper, a new difficulty associated with the present perturbation scheme is pointed out. All the solutions obtained in this and the preceding reports indicate that the expansion series does not converge at large values of the wave number k. Neither the final period solution is approached as the decay time t tends to infinity. These findings are proved to be inherent in the essential character of the problem, and the need of further studies is suggested. | |||||
| 資源タイプ（コンテンツの種類） | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Article | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0037-3818 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00121228 | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
