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An Informal Conceptual Introduction to Turbulence

Part of the Fluid Mechanics and Its Applications Book Series (volume 92)

Editors: Tsinober, Arkady

DOI: 10.1007/978-90-481-3174-7

ISBN: 978-90-481-3173-0

Publisher: Springer Netherlands - Springer Journals

Jan 1, 2009

1 - 10 of 14 Chapters

Available

Introduction

Pages: 1 –33

[This introductory chapter comprises the basis and to a large extent is a guide for the rest of the book. It starts with a brief discussion of the history of the subject, which is followed by a number of various representative examples. The principal aim of bringing these examples is to...
Available

Origins of Turbulence

Pages: 35 –42

[Yet not every solution of the equation of motion, even if it is exact, can actually occur in Nature. The flow that occurs in Nature must not only obey the equations of fluid dynamics but also be stable (Landau and Lifshits, 1959). Kolmogorov's scenario was based on the complexity of the dynamics...
Available

Methods of Describing and Studying Turbulent Flows

Pages: 43 –73

[While the experimental techniques that have been invaluable in understanding phase transitions promise to be very useful in the study of hydrodynamic phenomena, I suspect that the recent addition to our theoretical arsenal may be less effective than many had hoped (Martin, 1976). I think that...
Available

Kinematics

Pages: 75 –91

[The term kinematic(s) is associated with several issues, all of which have in common things which are not directly related to the (Navier—Stokes) dynamics of turbulence. In other words, the dynamics of fluid motion, except incompressibility, does not enter into the problems in question. The...
Available

Phenomenology

Pages: 93 –122

[There is no definition of what is phenomenology of turbulent flows. In a broad sense, it can be defined by a statement of impotence: it is almost everything except the direct experimental results (numerical, laboratory and field) and/or results (a very small set indeed), which can be obtained...
Available

Dynamics

Pages: 123 –203

[The true problem of turbulence dynamics is the problem of its origin(s) and successive development from some initial conditions and at some boundary conditions to an ultimate (statistical) state1. However, since this route is extremely complicated and involved, a second approach is used quite...
Available

Structure(s) of Turbulent Flows

Pages: 205 –236

[The nature and characterization of the structure(s) of turbulent flows are among the most controversial issues in turbulence research with extreme views on many aspects of the problem – in words of Richard Feynmann (1963, p. 41–12), holding strong opinions either way. For example, as mentioned...
Available

Turbulence Under Various Influences and Physical Circumstances

Pages: 237 –294

[As mentioned in chapter 1, there are many factors and influences which cause a real turbulent flow in nature and technology to deviate from the idealized homogeneous and isotropic state, sometimes strongly. In the latter case, turbulent flows may lose most of their resemblance to the...
Available

Analogies, Misconceptions and Ill-Defined Concepts

Pages: 295 –319

[The above statement by Batchelor is true of far more than just what is called “small-scale” features of turbulence. In other words, analogies in turbulence research have a special status mainly due to unsatisfactory state of not only theory but also of hard evidence on the small-scale...
Available

Conclusion/Close

Pages: 321 –347

[The problem of turbulence is not just to find more accurate formulae for various physical quantities associated with a turbulent fluid, but also to obtain a conceptually satisfactory theory based on first principles … In spite of satisfaction which one may have in writing rigorous inequalities...

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