Theory and Applications of Viscous Fluid Flows

1. Front Matter

   Pages I-XV

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2. Introduction

   • Radyadour Kh. Zeytounian

   Pages 1-9

3. Navier-Stokes-Fourier Exact Model

   • Radyadour Kh. Zeytounian

   Pages 11-33

4. Some Features and Various Forms of NSF Equations

   • Radyadour Kh. Zeytounian

   Pages 35-56

5. Some Simple Examples of Navier, NS and NSF Viscous Fluid Flows

   • Radyadour Kh. Zeytounian

   Pages 57-88

6. The Limit of Very Large Reynolds Numbers

   • Radyadour Kh. Zeytounian

   Pages 89-144

7. The Limit of Very Low Reynolds Numbers

   • Radyadour Kh. Zeytounian

   Pages 145-164

8. Incompressible Limit: Low Mach Number Asymptotics

   • Radyadour Kh. Zeytounian

   Pages 165-189

9. Some Viscous Fluid Motions and Problems

   • Radyadour Kh. Zeytounian

   Pages 191-275

10. Some Aspects of a Mathematically Rigorous Theory

    • Radyadour Kh. Zeytounian

    Pages 277-310

11. Linear and Nonlinear Stability of Fluid Motion

    • Radyadour Kh. Zeytounian

    Pages 311-386

12. A Finite-Dimensional Dynamical System Approach to Turbulence

    • Radyadour Kh. Zeytounian

    Pages 387-448

13. Back Matter

    Pages 449-488

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This book is the natural sequel to the study of nonviscous fluid flows pre­ sented in our recent book entitled "Theory and Applications of Nonviscous Fluid Flows" and published in 2002 by the Physics Editorial Department of Springer-Verlag (ISBN 3-540-41412-6 Springer-Verlag, Berlin, Heidelberg, New York). The physical concept of viscosity (for so-called "real fluids") is associated both incompressible and compressible fluids. Consequently, we have with a vast field of theoretical study and applications from which any subsection could have itself provided an area for a single book. It was, however, decided to attempt aglobaI study so that each chapter serves as an introduction to more specialized study, and the book as a whole presents a necessary broad foundation for furt her study in depth. Consequently, this volume contains many more pages than my preceding book devoted to nonviscous fluid flows and a large number (80) of figures. There are three main models for the study of viscous fluid flows: First, the model linked with viscous incompressible fluid flows, the so-called (dynamic) Navier model, governing linearly viscous divergenceless and homogeneous fluid flows. The second is the sü-called Navier-Stokes model (NS) which is linked to compressible, linearly viscous and isentropic equations für a polytropic viscous gas. The third is the so-called Navier-Stokes-Fourier model (NSF) that gov­ erns the motion of a compressible, linearly viscous, heat-conducting gas.

• Euler equations
• Newtonian fluids
• asymptotics
• dynamical systems
• fluid mechanics
• mechanics
• stability
• viscous fluids
• fluid- and aerodynamics

From the reviews:

"The book is written at the advanced level and it will be useful to somebody with a background in fluid dynamics looking for references or an introduction to a particular topic. The presentation is good … ." (Dr. P. Moresco, Contemporary Physics Vol. 45 (6), 2004)

"This ambitious and on the whole successful book comprises ten main chapters … . all readers will find something of value in the well-chosen examples of specific flows included in the book … . The book can be recommended to advanced students and research workers interested in theoretical fluid dynamics." (Raymond Hide, Journal of Fluid Mechanics, Vol. 526, 2005)

• Paris, France

  Radyadour Kh. Zeytounian

• Université des Sciences et Technologies de Lille, Villeneuve d’Ascq, France

  Radyadour Kh. Zeytounian