Turbulence and Random Processes in Fluid Mechanics

By: E. Mollo-Christensen, M. T. Landahl

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Paperback | 15 February 1993 | Edition Number 2

At a Glance

Paperback
184 Pages

Edition Type
Revised

Dimensions(cm)
22.9 x 15.2 x 1.1

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Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science. Turbulence and related areas have continued to be subjects of intensive research over the last century. In this second edition of their successful textbook Professors Landahl and Mollo-Christensen have taken the opportunity to include recent developments in the field of chaos and its applications to turbulent flow. This timely update continues the original theme of the book: presenting the fundamental concepts and basic methods of fluid flow turbulence which enable the reader to follow the literature and understand current research. The emphasis upon the dynamic processes that create and maintain turbulent flows gives this book an original approach. This book should be useful to graduate students and researchers in fluid dynamics and, in particular, turbulence and related fields.

Industry Reviews

"This small book is a gem that should be widely appreciated...It is clean, useful, and almost elegant in its confident approach to the subject." Bulletin of the American Meteorological Society "...an easy to read introduction to turbulence, instabilities and transitions...successfully reviews a large class of nonlinear phenomena in fluids (solitons, deterministic chaos, transitions, fully developed turbulence) without many technical details...provides a good bibliography...very valuable in that it rapidly provides a good fundamental background to engineers who have to cope with realistic problems in fluids." P. L. Sulem, Mathematical Reviews

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Preface to the second edition	p. ix
Preface to the first edition	p. xi
Introduction with historical notes	p. 1
Characteristic scales and nondimensional parameters	p. 6
Basic equations	p. 13
Equations of motion	p. 13
Averaged equations	p. 17
Stability and turbulent energy	p. 19
Statistical tools for description of turbulence	p. 21
Ensemble averages	p. 22
Joint moment, covariance	p. 23
Stationary random functions	p. 23
Properties of the time autocovariances	p. 24
Joint covariance	p. 24
Spectra and cross spectra	p. 25
Space-time covariances	p. 26
Response of linear systems to random excitation	p. 28
Impulse response and superposition	p. 29
Response to a random input	p. 30
Examples of response calculations	p. 31
Distribution function and probability density	p. 32
Characteristic function	p. 33
Joint distributions, conditional probability	p. 34
Central limit theorem	p. 35
The lognormal distribution	p. 38
Flows that are homogeneous in more than one spatial dimension	p. 40
Some spatially homogeneous fields	p. 40
Isotropic turbulence	p. 51
Waves	p. 64
Kinematic wave theory	p. 64
Effects of weak nonlinearity	p. 69
Modulational instability	p. 71
Soliton behavior	p. 73
Surface gravity waves	p. 74
Discussion	p. 77
Instability and transition to turbulence	p. 80
Instability to small disturbances	p. 81
Universality in transition to chaos	p. 92
Shear flow turbulence structure	p. 106
Boundary layer turbulence structure	p. 106
Theoretical model for wall layer bursting	p. 115
Structure of free-shear layers	p. 122
Turbulence modeling and closure schemes	p. 125
Some turbulence models	p. 126
Closure schemes for spectral theories	p. 128
Aerodynamic noise	p. 132
A linear acoustic field excited by turbulent fluctuations	p. 132
The far-field sound	p. 134
Similarity analysis for the emitted sound	p. 135
Effects of source motion and sound advection	p. 136
Effects of a nonuniform flow	p. 137
Instability of a supersonic jet, overreflection	p. 138
Instability of an isolated shear layer	p. 138
Convective transport	p. 141
Nondimensional parameters characterizing convective transport	p. 141
Thermal convection without mean shear	p. 144
Numerical simulation of turbulence	p. 149
Numerical techniques	p. 149
Some results from numerical simulation	p. 150
References	p. 157
Index	p. 167
Table of Contents provided by Syndetics. All Rights Reserved.

Turbulence and Random Processes in Fluid Mechanics

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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