The Mathematical Theory of Turbulence

• M. M. Stanišić
Textbook

Part of the Universitext book series (UTX)

1. Front Matter
Pages i-xvi
2. Introduction

1. M. M. Stanišić
Pages 1-3
3. Onset of Turbulence

1. M. M. Stanišić
Pages 3-9
4. Classical Turbulence

1. M. M. Stanišić
Pages 10-91
5. Statistical Theories in Turbulence

1. M. M. Stanišić
Pages 92-160
2. M. M. Stanišić
Pages 161-250
3. M. M. Stanišić
Pages 251-382
6. Back Matter
Pages 383-429

Introduction

"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.

Keywords

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

Authors and affiliations

• M. M. Stanišić
• 1
1. 1.School of Aeronautics and Astronautics, Grissom HallPurdue UniversityWest LafayetteUSA

Bibliographic information

• DOI https://doi.org/10.1007/978-1-4684-0263-6
• Copyright Information Springer-Verlag New York 1985
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-0-387-96107-1
• Online ISBN 978-1-4684-0263-6
• Series Print ISSN 0172-5939
• Series Online ISSN 2191-6675
• Buy this book on publisher's site
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