乱流のエッセンス<br>The Essence of Turbulence as a Physical Phenomenon : With Emphasis on Issues of Paradigmatic Nature

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乱流のエッセンス
The Essence of Turbulence as a Physical Phenomenon : With Emphasis on Issues of Paradigmatic Nature

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  • 製本 Hardcover:ハードカバー版/ページ数 169 p.
  • 言語 ENG,ENG
  • 商品コード 9789400771796
  • DDC分類 621

Full Description


This book critically reexamines what turbulence really is, from a fundamental point of view and based on observations from nature, laboratories, and direct numerical simulations. It includes critical assessments and a comparative analysis of the key developments, their evolution and failures, along with key misconceptions and outdated paradigms. The main emphasis is on conceptual and problematic aspects, physical phenomena, observations, misconceptions and unresolved issues rather than on conventional formalistic aspects, models, etc. Apart from the obvious fundamental importance of turbulent flows, this emphasis stems from the basic premise that without corresponding progress in fundamental aspects there is little chance for progress in applications such as drag reduction, mixing, control and modeling of turbulence. More generally, there is also a desperate need to grasp the physical fundamentals of the technological processes in which turbulence plays a central role.

Table of Contents

Part I The Phenomenon and the Problem of
Turbulence
1 The Phenomenon of Turbulence as Distinct 3 (6)
from the Problem of Turbulence
1.1 Major Qualitative Universal Features of 6 (3)
Turbulent Flows
2 The Problem of Turbulence as Distinct from 9 (6)
the Phenomenon of Turbulence
2.1 On Physics and Mathematics of Turbulence 12 (3)
3 What Equations Describe Turbulence 15 (16)
Adequately?
3.1 Navier-Stokes Equations 16 (2)
3.1.1 On Boundary Conditions 18 (1)
3.2 Large Re, Zero Viscosity Limit and 18 (1)
Relevance of Euler Equations
3.3 Averaged Equations, Filtering, 19 (5)
Decompositions and Similar Approaches/Issues
3.3.1 On the Utility of Various 22 (2)
Decompositions
3.4 Eulerian Versus Lagrangian 24 (2)
Representations
3.5 Final Remarks 26 (5)
Part II Issues of Paradigmatic Nature I:
Origins and Nature of Turbulence
4 Origins of Turbulence 31 (6)
4.1 Instability 32 (1)
4.2 Transition to Turbulence Versus Routes 33 (1)
to Chaos
4.3 Many Ways of Creating 34 (3)
(Arising/Emerging) Turbulent Flows
5 Nature of Turbulence 37 (16)
5.1 Turbulence is Only Apparently Random 39 (2)
5.2 Limitations of Statistical Methods 41 (12)
5.2.1 Statistical Theories 42 (3)
5.2.2 Statistical Methods of Description 45 (2)
and Interpretation of the Data from
Laboratory, Field and Numerical
Experiments
5.2.3 On Particular Tools-Examples 47 (6)
6 Additional Issues of Importance Related to 53 (14)
the Use of Statistical Methods
6.1 Interpretation and Validation or What 54 (7)
About the Right Results for the Right
Reasons or Theories Versus Hard Evidence
6.1.1 Interpretation 54 (3)
6.1.2 Validation or Theories Versus Hard 57 (4)
Evidence
6.2 Ergodicity and Related 61 (6)
Part III Issues of Paradigmatic Nature II:
Specific Features
7 The N's of Turbulence 67 (18)
7.1 Non-integrability 67 (1)
7.2 Nonlinearity 68 (6)
7.2.1 Nonlinearity Plus Decompositions 69 (1)
Gives Birth to "Cascades"
7.2.2 Turbulence Is Essentially 70 (4)
Rotational and Strongly Dissipative
Phenomenon
7.3 Nonlocality 74 (11)
7.3.1 Introductory/General Remarks 74 (3)
7.3.2 A Simple Example 77 (1)
7.3.3 Direct and Bidirectional Coupling 78 (7)
Between Large and Small Scales
8 Large Reynolds Number Behavior, Symmetries, 85 (20)
Universality
8.1 Inertial Range, the Roles of 86 (5)
Viscosity/Dissipation and Related Issues
8.2 Reynolds Number Dependence and Behavior 91 (3)
of Turbulent Flows at Large Reynolds Numbers
8.3 Symmetries 94 (4)
8.4 Universality 98 (7)
8.4.1 Quantitative Universality 99 (2)
8.4.2 Qualitative Universality 101(4)
9 Intermittency and Structure(s) of and/in 105(30)
Turbulence
9.1 Intermittency 107(11)
9.1.1 The External Intermittency and 108(1)
Entrainment
9.1.2 The Small Scale, Internal or 108(3)
Intrinsic Intermittency
9.1.3 Measures/Manifestations of 111(4)
Intermittency
9.1.4 On Possible Origins of Small Scale 115(3)
Intermittency
9.2 What Is(Are) Structure(s) of Turbulent 118(17)
Flows? What We See Is Real. The Problem Is
Interpretation
9.2.1 On the Origins of Structure(s) 119(1)
of/in Turbulence
9.2.2 How Does the Structure of 120(4)
Turbulence 'Look'?
9.2.3 Structure Versus Statistics 124(2)
9.2.4 What Kinds of Statistics Are Most 126(3)
Appropriate to Characterize at Least Some
Aspects for Turbulence Structure
9.2.5 Structure(s) Versus Scales and 129(6)
Decompositions
Part IV Epilogue
10 On the Status 135(8)
10.1 What Next 138(2)
10.2 What to Do 140(3)
11 Appendix. Essential Quotations 143(8)
11.1 To Preface 143(3)
11.1.1 On Absence of Genuine Theory 143(3)
11.2 To Chap. 1 146(2)
11.2.1 On Multitude of "Approaches"; for 146(2)
More See Also Chaps. 3 and 9 in Tsinober
(2009)
11.3 To Epilogue 148(3)
11.3.1 On the Continuing Diversity of 148(3)
Opinions on What Is Important, What Are
the Main Questions and Related
References 151(10)
Author Index 161(6)
Subject Index 167