Homogeneous Isotropic Turbulence
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Homogeneous Isotropic Turbulence
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Author : W. David McComb
language : en
Publisher: OUP Oxford
Release Date : 2014-02-27
Homogeneous Isotropic Turbulence written by W. David McComb and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-27 with Mathematics categories.
Fluid turbulence is often referred to as `the unsolved problem of classical physics'. Yet, paradoxically, its mathematical description resembles quantum field theory. The present book addresses the idealised problem posed by homogeneous, isotropic turbulence, in order to concentrate on the fundamental aspects of the general problem. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines. The book is in three parts, and begins with a very simple overview of the basic statistical closure problem, along with a summary of current theoretical approaches. This is followed by a precise formulation of the statistical problem, along with a complete set of mathematical tools (as needed in the rest of the book), and a summary of the generally accepted phenomenology of the subject. Part 2 deals with current issues in phenomenology, including the role of Galilean invariance, the physics of energy transfer, and the fundamental problems inherent in numerical simulation. Part 3 deals with renormalization methods, with an emphasis on the taxonomy of the subject, rather than on lengthy mathematical derivations. The book concludes with some discussion of current lines of research and is supplemented by three appendices containing detailed mathematical treatments of the effect of isotropy on correlations, the properties of Gaussian distributions, and the evaluation of coefficients in statistical theories.
Homogeneous Isotropic Turbulence
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Author : W. D. McComb
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-03
Homogeneous Isotropic Turbulence written by W. D. McComb and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03 with Mathematics categories.
This book addresses the idealised problem posed by homogeneous, isotropic turbulence. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines.
Turbulent Flows
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Author : Jean Piquet
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Turbulent Flows written by Jean Piquet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
obtained are still severely limited to low Reynolds numbers (about only one decade better than direct numerical simulations), and the interpretation of such calculations for complex, curved geometries is still unclear. It is evident that a lot of work (and a very significant increase in available computing power) is required before such methods can be adopted in daily's engineering practice. I hope to l"Cport on all these topics in a near future. The book is divided into six chapters, each· chapter in subchapters, sections and subsections. The first part is introduced by Chapter 1 which summarizes the equations of fluid mechanies, it is developed in C~apters 2 to 4 devoted to the construction of turbulence models. What has been called "engineering methods" is considered in Chapter 2 where the Reynolds averaged equations al"C established and the closure problem studied (§1-3). A first detailed study of homogeneous turbulent flows follows (§4). It includes a review of available experimental data and their modeling. The eddy viscosity concept is analyzed in §5 with the l"Csulting ~alar-transport equation models such as the famous K-e model. Reynolds stl"Css models (Chapter 4) require a preliminary consideration of two-point turbulence concepts which are developed in Chapter 3 devoted to homogeneous turbulence. We review the two-point moments of velocity fields and their spectral transforms (§ 1), their general dynamics (§2) with the particular case of homogeneous, isotropie turbulence (§3) whel"C the so-called Kolmogorov's assumptions are discussed at length.
The Theory Of Homogeneous Turbulence
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Author : G. K. Batchelor
language : en
Publisher: Cambridge University Press
Release Date : 1953
The Theory Of Homogeneous Turbulence written by G. K. Batchelor and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Mathematics categories.
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.
Toward A Theory Of Homogeneous Isotropic Turbulence Of Incompressible Fluids
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Author : Tohru Nakano
language : en
Publisher:
Release Date : 1971
Toward A Theory Of Homogeneous Isotropic Turbulence Of Incompressible Fluids written by Tohru Nakano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Homogeneous Turbulence Dynamics
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Author : Pierre Sagaut
language : en
Publisher: Springer
Release Date : 2018-03-23
Homogeneous Turbulence Dynamics written by Pierre Sagaut and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-23 with Science categories.
This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.
Direct Numerical Simulation Of Homogeneous Isotropic Turbulence
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Author : Sarah Moussa Hussein
language : en
Publisher:
Release Date : 2019
Direct Numerical Simulation Of Homogeneous Isotropic Turbulence written by Sarah Moussa Hussein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Numerical analysis categories.
Turbulence has been a topic of scientific research for years. Characterized by unorganized chaotic motion and irregular fluctuations, it persists as one of the most challenging topics in fluid mechanics despite volumes of documented research and crucial findings. This begs the question: What is turbulence and why is it so challenging? Turbulence research studies cover a wide spectrum of branches from fundamental flow propagation to different turbulence interactions. This research project investigates the simplest class of turbulent flow studies, homogeneous isotropic turbulence. In a quest to advance the fundamental understanding of turbulence physics, a direct numerical simulation tool is developed. The tool generates a turbulent periodic cube with vortical fluctuations and three interaction case studies. The evolution of the velocity in time is derived from the Navier-Stokes equations. These governing equations are integrated, along with initial and boundary conditions, to formulate turbulence. Fully-developed turbulence is achieved when the Tavoularis (1978) criterion of axial velocity variation is met. Output data sets are collected for numerical analysis. The turbulence periodic cube geometry is assessed for its applicability in this study. The simplified structure is found to be efficient and facilitated. The interaction case studies of shock-turbulence and detonation-turbulence are compared to an unforced flow interaction. The case studies are statistically analyzed and visualized yielding important conclusions on the effects of the fluctuations, heat release, detonation inherent length scale, and detonation intrinsic instability on the flow behavior. A mutual interaction is found between the turbulence structures and the strong detonation wave. An extension of the long-standing Tavoularis velocity skewness factor is suggested. The proposed velocity skewness vector quantifies the variation of the three velocity components in the three Cartesian coordinates. This comprehensive expression highlights the contribution of the three-dimensional velocity fluctuations to the turbulence state.
Random Functions And Turbulence
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Author : S. Panchev
language : en
Publisher: Elsevier
Release Date : 2016-10-27
Random Functions And Turbulence written by S. Panchev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Technology & Engineering categories.
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.
Particle Dispersion In Homogeneous Isotropic Turbulence
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Author : Thomas Burgener
language : en
Publisher:
Release Date : 2012
Particle Dispersion In Homogeneous Isotropic Turbulence written by Thomas Burgener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Diffusion By Homogeneous Isotropic Turbulence
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Author : J. C. Schönfeld
language : en
Publisher:
Release Date : 1959
Diffusion By Homogeneous Isotropic Turbulence written by J. C. Schönfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Diffusion in hydrology categories.