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熱層近似の方法 : 熱伝導・熱弾性問題の近似解法
https://jaxa.repo.nii.ac.jp/records/35150
https://jaxa.repo.nii.ac.jp/records/351508af4003b-eca4-4513-af54-6bc203add987
名前 / ファイル | ライセンス | アクション |
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SA4135032.pdf (1.8 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-03-26 | |||||
タイトル | ||||||
タイトル | 熱層近似の方法 : 熱伝導・熱弾性問題の近似解法 | |||||
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 | |||||
その他のタイトル(英) | ||||||
その他のタイトル | Method of Thermal Layer Approximation : An Approximate Method for Transient Thermal and Thermo-Elastic Problems | |||||
著者 |
三浦, 公亮
× 三浦, 公亮× MIURA, Koryo |
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出版者 | ||||||
出版者 | 東京大学航空研究所 | |||||
書誌情報 |
東京大学航空研究所集報 巻 3, 号 2, p. 143-177, 発行日 1962-06 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 固体表面が急激に加熱される場合,その初期において熱は表面から限られた深さしか拡散せず,いわゆる熱層が形成される.これは粘性流体における境界層と類似の概念で,T. R. Goodmanによって提案され,さらに運動量積分と類似の熱平衡積分と結びつけて熱伝導の近似解析に用いられる.本論文はまず熱層概念の理論的根拠を二つの面から示す.一つは境界層とのアナロジー,一つは粒子のBrown運動の確率過程で,共に数学的にFourierの方程式と等価なものである.次に熱層近似の方法の一般的操作を提示し,厚板,円筒,遮熱被膜等の解を得る.次に熱弾性問題の領域における熱層近似の方法の応用性を検討した結果その有用性が認められるので,熱応力,熱衝撃,熱変形及び急速加熱による振動等の問題が解析される.この方法の容易さ,そして解の明白で物理的直観に沿っている点は,熱伝導,熱弾性問題における広い応用性を暗示するものである. | |||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | When the surface of a solid is exposed to a heat input, an increase in internal energy must, in the early stages, be restricted within a short distance δ(τ) from the surface. A quantity δ(τ) is defined to be the thermal layer, which is analogous to the boundary layer in a viscous flow. The concept, proposed by T. R. Goodman, is conveniently used for the approximate analysis of heat conduction problems in connection with his Heat-Balance Integral analogous to the Momentum Integral. This paper presents the theoretical foundation for the concept of the thermal layer, first by its analogy to the boundary layer, and secondly by describing the heat conduction process as the stochastic process of the Brownian motion of the particles, the process is mathematically equivalent to the Fourier's law of heat conduction. Then the general method of thermal layer approximation is presented, and is used for the analysis of heat conduction problems of a slab, a cylinder and a insulation coating. These solution is then used for the analysis of thermo-elastic problems such as thermal stresses, thermal shock, thermally induced vibration and deflection problems. Easiness of the analysis together with an explicit character of the solution suggest the wide applicability of the method in these field. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0563-8097 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00162214 | |||||
資料番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 資料番号: SA4135032000 |