The theory of turbulence : Subrahmanyan Chandrasekhar's 1954 lectures
著者
書誌事項
The theory of turbulence : Subrahmanyan Chandrasekhar's 1954 lectures
(Lecture notes in physics, 810)
Springer, c2011
大学図書館所蔵 全14件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"Notes prepared by E.A. Spiegel"
内容説明・目次
内容説明
In January 1937, Nobel laureate in Physics Subrahmanyan Chandrasekhar was recruited to the University of Chicago. He was to remain there for his entire career, becoming Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics in 1952 and attaining emeritus status in 1985. This is where his then student Ed Spiegel met him during the summer of 1954, attended his lectures on turbulence and jotted down the notes in hand. His lectures had a twofold purpose: they not only provided a very elementary introduction to some aspects of the subject for novices, they also allowed Chandra to organize his thoughts in preparation to formulating his attack on the statistical problem of homogeneous turbulence. After each lecture Ed Spiegel transcribed the notes and filled in the details of the derivations that Chandrasekhar had not included, trying to preserve the spirit of his presentation and even adding some of his side remarks. The lectures were rather impromptu and the notes as presented here are as they were set down originally in 1954. Now they are being made generally available for Chandrasekhar's centennial.
目次
1: The Turbulence Problem. 1.1 The Meaning of 'Turbulence' 1.2 Two Fundamental Aspects of Turbulence 2: The Net Energy Balance. 3: The Interchange of Energy Between States of Motion. 4. Some Remarks. 4.1. On the Harmonic Analysis. 4.2. On the Concept of Isotropy. 4.3. On the Possibility of a Universal Theory. 5: The Spectrum of Turbulent Energy. 5.1 The Spectrum 5.2. An Equation for the Spectrum 6: Some Preliminaries to the Development of a Theory of Turbulence. 7: Heisenberg's Theory of Turbulence. 7.1 The Fundamental Equation of the Theory 7.2 Chandrasekhar's Solution of (7.17) for the Case of Stationary Turbulence 8: Other Derivatives of K-2/3 Law. 8.1 Fermi's Approach 8.2 Kolmogoroff's Theory 8.3 The Method of von Neumann 8.4 Conclusion 9: An Alternate Approach - Correlations. 10: The Equations of Isotropic Turbulence. 10.1 The Concept of Isotropy 10.2 Qij as an Isotropic Tensor 10.3 Solenoidal Isotropic Tensors 11: The Karman-Howarth Equations. 12: The Meanings of the Defining Scalars. 13: Some Results from the Karman-Howarth Equation. 13.1 The Taylor Microscale 13.2 The Study of the Decay of Turbulence 13.3 The Connection between the Karman-Howarth Equation and the Kolmogoroff Theory 14: The Relation Between Fourth Order and Second Order Correlations when the Velocity Follows a Gaussian Distribution. 14.1 Some Properties of the Gaussian Distribution 14.2 Addition Theorem for Gaussian Distributions 14.3 Proof of Equation (14.2) 15: Chandrasekhar's Theory of Turbulence. 16: A More Subjective Approach to the Derivation of Chandrasekhar's Equation. 17: The Dimensionless Form of Chandrasekhar's Equation. 18: Some Aspects and Advantages of the New Theory. 18.1 A Mathematical Justification of the Assumptions of the Heisenberg Theory 18.2 Compatibility with the Kolmogoroff Theory 19: The Problem of Introducing the Boundary Conditions. 20: Discussion of the Case of Negligible Inertial Term. 21: The Case in which Viscosity is Neglected. 22: Solution of the Non-Viscous Case near r = 0. 23: Solution of the Heat Equation. 24: Solution of the Quasi-Wave Equation. 25. The Introduction of Boundary Conditions. 26. Epilogue.
「Nielsen BookData」 より