This is a graduate text on turbulent flows, an important topic in fluid dynamics. It is up-to-date, comprehensive, designed for teaching, and is based on a course taught by the author at Cornell University for a number of years. The book consists of two parts followed by a number of appendices. Part I provides a general introduction to turbulent flows, how they behave, how they can be described quantitatively, and the fundamental physical processes involved. Part II is concerned with different approaches for modelling or simulating turbulent flows. The necessary mathematical techniques are presented in the appendices. This book is primarily intended as a graduate level text in turbulent flows for engineering students, but it may also be valuable to students in applied mathematics, physics, oceanography and atmospheric sciences, as well as researchers and practising engineers.

• Includes nearly 400 instructional exercises • Provides comprehensive appendices describing the mathematical techniques used • Contains copious figures including experimental results

### Contents

Preface; Nomenclature; Part I. Fundamentals: 1. Introduction; 2. The equations of fluid motion; 3. Statistical description of turbulence; 4. Mean flow equations; 5. Free shear flows; 6. The scales of turbulent motion; 7. Wall flows; Part II. Modelling and Simulation: 8. Modelling and simulation; 9. Direct numerical simulation; 10. Turbulent viscosity models; 11. Reynolds-stress and related models; 12. PDF models; 13. Large-eddy simulation; Part III. Appendices; Bibliography.

### Reviews

'Probably the most popular text in turbulent fluid mechanics for the past thirty years has been Tennekes and Lumley. Now Lumley's colleague Pope has produced a much more complete work and one that is up to date. Designed as a graduate text, it is a massive work that covers most of what an engineer needs to know about the subject … there is no book that provides as broad coverage as this one and yet provides reasonable depth … There are also problems interspersed throughout the book. They make this an excellent textbook that can be heartily recommended to anyone teaching a course in this subject. it is the best book on the market today that covers the entire field and should be adopted for courses, especially since the paperback edition is priced quite reasonably for the size on the book.' Joel H. Ferziger, International Journal of Mutliphase Flows

'The deficiency for students of engineering and applied science is the dearth of material on turbulence modeling. Pope has remedied that situation by adjoining a survey of ideas on closure modeling to an introduction to turbulence theory ... This book is a welcome addition to the literature on turbulence. It will serve well as a textbook.' Journal of Fluid Mechanics

'… excellent and readable treatment of fundamentals … The lucid and up-to-date discussion - which will appeal to researchers and engineers alike - is a bonus.' Peter Lindstedt, New Scientist

'… the text can be classified as one of the pearls in the field.' Applied Mechanical Review

'The engineering student who diligently follows and works through the book should acquire a substantial degree of competence in understanding the behaviour and fundamental physical processes involved in turbulent flows and getting familiar with the various approaches for modelling or stimulating turbulent flows. It shall be valued greatly by students in applied mathematics, physics, oceanography, and atmospheric sciences, as well as researchers, and practicing engineers. Acquainting oneself with this book should be a thoroughly enjoyable and enriching experience. Indeed a welcome and distinct addition to the literature on turbulence. It will serve well as an impressive textbook admirably making up for the dearth of material on turbulence modelling.' Current Engineering Practice

'This is a graduate-level textbook based on a graduate course, and it will be useful for that purpose … what it does it does well. One hopes it will be widely read.' The Times Higher Education Supplement

'… comprehensive textbook … suitable to engineering students at graduate level … this well-organized and clearly written book can be highly recommended to students and researchers with an interest in turbulence, and to all teaching the subject.' Oleg Titow, Zentralblatt MATH

'It was a pleasure to read this important book … exceptionally clear presentation, together with an often penetrating critique of both classical methods and recent developments in the theory and modelling of turbulent flows … I strongly recommend this book to advanced students of fluid mechanics, to their teachers and to all researchers, engineers and others with a professional interest in turbulent flows.' K. N. C. Bray, Measurement, Science & Technology