The theory of turbulence : Subrahmanyan Chandrasekhar's 1954 lectures / notes prepared by E.A. Spiegel.

Format:

Book

Contributor:

Chandrasekhar, S. (Subrahmanyan), 1910-1995.

Spiegel, E. A. (Edward A.)

Series:

Lecture notes in physics ; 810.

Lecture notes in physics, 0075-8450 ; 810

Language:

English

Subjects (All):

Turbulence--Study and teaching.

Turbulence.

Physical Description:

1 online resource (XVII, 117 p.)

Edition:

1st. ed.

Place of Publication:

Dordrecht, the Netherlands ; New York : Springer, 2011.

Language Note:

English

Summary:

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.

Contents:

1: The Turbulence Problem

2: The Net Energy Balance

3: The Interchange of Energy between States of Motion

4

Some Remarks

5: The Spectrum of Turbulent Energy

6: Some Preliminaries to the Development of a Theory of Turbulence

7: Heisenberg's Theory of Turbulence

8: Other Derivatives of K-2/3 Law

9: An Alternate Approach – Correlations

10: The Equations of Isotropic Turbulence

11: The Karman-Howarth Equations

12: The Meanings of the Defining Scalars

13: Some Results from the Karman-Howarth Equation

14: The Relation Between Fourth Order and Second Order Correlations when the Velocity Follows a Gaussian Distribution

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

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

9789400701175

9400701179