نظریه‌های آماری آشفتگی (کتابخانه میراث پرینستون، ۵۰۴۷)

Part of the Princeton Aeronautical Paperback series designed to bring to students and research engineers outstanding portions of the twelve-volume High Speed Aerodynamics and Jet Propulsion series. These books have been prepared by direct reproduction of the text from the original series and no attempt has been made to provide introductory material or to eliminate cross reference to other portions of the original volumes. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 Cover0 Cover1 PREFACE CONTENTS CHAPTER 1. BASIC CONCEPTS 1. Introduction 2. The Mean Flow and the Reynolds Stresses 3. Frequency Distributions and Statistical Averages 4. Homogeneous Fields of Turbulence 5. Conventional Approach to the Statistical Theory of Turbulence CHAPTER 2. MATHEMATICAL FORMULATION OF THE THEORY OF HOMOGENEOUS TURBULENCE 6. Kinematics of Homogeneous Isotropic Turbulence. Corrdation Theory 7. Dynamics of Isotropic Turbulence 8. The Spectral Theory of Isotropic Turbulence 9. Spectral Analysis in One Dimension 10. Spectral Analysis in Three Dinmensions 11. General Theory of Homogeneous Anisotropic Turbulence CHAPTER 3. PHYSICAL ASPECTS OF THE THEORY OF HOMOGENEOUS TURBULENCE 12. Large Scale Structure of Turbulence 13. Small Scale Structure of Turbulence. Kolmogoroff's Theory 14. Considerations of Similarity 15. The Process of Decay 16. The Quasi-Gaussian Approximation 17. Hypotheses on Energy Transfer CHAPTER 4. TURBULENT DIFFUSION AND TRANSFER 18. Diffusion by Continuous Movements 19. Analysis Involving More Than One Particle 20. Temperature Fluctuations in Homogeneous Turbulence 21. Statistical Theory of Shear Flow CHAPTER 5. OTHER ASPECTS OF THE PROBLEM OF TURBULENCE 22. Turbulent Motion in a Compressible Fluid 23. Magneto-Hydrodynamic T urbulence 24. Some Aerodynamic Problems 25. Cited References