The Mathematical Theory of Turbulence

1. Front Matter

   Pages i-xvi

   PDF

2. Introduction

   1. Introduction

      • M. M. Stanišić

      Pages 1-3

3. Onset of Turbulence

   1. Onset of Turbulence

      • M. M. Stanišić

      Pages 3-9

4. Classical Turbulence

   1. Turbulent Flow

      • M. M. Stanišić

      Pages 10-91

5. Statistical Theories in Turbulence

   1. Fundamental Concepts

      • M. M. Stanišić

      Pages 92-160

   2. Basic Theories

      • M. M. Stanišić

      Pages 161-250

   3. Magnetohydrodynamic Turbulence

      • M. M. Stanišić

      Pages 251-382

6. Back Matter

   Pages 383-429

   PDF

"I do not think at all that I am able to present here any procedure of investiga­ tion that was not perceived long ago by aZl men of talent; and I do not promise at all that you can find here anything quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by able men, who in most cases are not even conscious of follow­ ing them. Although I am free from illusion that I shall fully succeed even in doing this, I stiZl hope that the little that is present here may please some people and have some application afterwards. " Bernard Balzano (Wissenschaftslehre, 1929) The following book results from a series of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account viii of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester.

• Dissipation
• Fourier transform
• Navier-Stokes equations
• dynamics
• equilibrium
• flow
• fluid dynamics
• invariant
• material
• mixing
• momentum
• phase
• solution
• turbulence
• turbulent flow
• fluid- and aerodynamics

• School of Aeronautics and Astronautics, Grissom Hall, Purdue University, West Lafayette, USA

  M. M. Stanišić

Policies and ethics