Author: Robert G. Deissler
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 36
Book Description
The homogeneous turbulence problem is formulated by first specifying the multipoint velocity correlations or their spectral equivalents at an initial time. Those quantities, together with the correlation or spectral equations, are then used to calculate initial time derivatives of correlations or spectra. The derivatives in turn are used in time series to calculate the evolution of turbulence quantities with time. When the problem is treated in this way, the correlation equations are closed by the initial specification of the turbulence and no closure assumption is necessary. An exponential series which is an iterative solution of the Navier stokes equations gave much better results than a Taylor power series when used with the limited available initial data. In general, the agreement between theory and experiment was good.
Decay of Homogeneous Turbulence from a Specified State
Author: Robert G. Deissler
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 36
Book Description
The homogeneous turbulence problem is formulated by first specifying the multipoint velocity correlations or their spectral equivalents at an initial time. Those quantities, together with the correlation or spectral equations, are then used to calculate initial time derivatives of correlations or spectra. The derivatives in turn are used in time series to calculate the evolution of turbulence quantities with time. When the problem is treated in this way, the correlation equations are closed by the initial specification of the turbulence and no closure assumption is necessary. An exponential series which is an iterative solution of the Navier stokes equations gave much better results than a Taylor power series when used with the limited available initial data. In general, the agreement between theory and experiment was good.
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 36
Book Description
The homogeneous turbulence problem is formulated by first specifying the multipoint velocity correlations or their spectral equivalents at an initial time. Those quantities, together with the correlation or spectral equations, are then used to calculate initial time derivatives of correlations or spectra. The derivatives in turn are used in time series to calculate the evolution of turbulence quantities with time. When the problem is treated in this way, the correlation equations are closed by the initial specification of the turbulence and no closure assumption is necessary. An exponential series which is an iterative solution of the Navier stokes equations gave much better results than a Taylor power series when used with the limited available initial data. In general, the agreement between theory and experiment was good.
Decay of Homogeneous Turbulence from a Specified State
Author: Robert G. Deissler
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
Book Description
Homogeneous Turbulence Dynamics
Author: Pierre Sagaut
Publisher: Springer
ISBN: 3319731629
Category : Science
Languages : en
Pages : 912
Book Description
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.
Publisher: Springer
ISBN: 3319731629
Category : Science
Languages : en
Pages : 912
Book Description
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.
NASA Technical Note
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 466
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 466
Book Description
The Decay of Turbulence
Author: Robert R. Long
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
Solutions are given for the temporal decay of homogeneous turbulence and spatial decay of turbulence induced by a source of energy on a plane z = 0. In the latter case there may be a superimposed basic current W perpendicular to the plane. The initial energy spectrum function (at t = 0 or z = 0) for the idealized source is proportional to the wave number k. With increase of time or distance from the plane, the smaller eddies decay strongly and an energy peak develops. The energy in larger waves is permanent in the sense that the energy in a given wave number divided by the energy at that wave number in the original spectrum is a constant for k
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
Solutions are given for the temporal decay of homogeneous turbulence and spatial decay of turbulence induced by a source of energy on a plane z = 0. In the latter case there may be a superimposed basic current W perpendicular to the plane. The initial energy spectrum function (at t = 0 or z = 0) for the idealized source is proportional to the wave number k. With increase of time or distance from the plane, the smaller eddies decay strongly and an energy peak develops. The energy in larger waves is permanent in the sense that the energy in a given wave number divided by the energy at that wave number in the original spectrum is a constant for k
Monthly Catalog of United States Government Publications
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1932
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1932
Book Description
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 692
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 692
Book Description
The Theory of Homogeneous Turbulence
Author: G. K. Batchelor
Publisher: Cambridge University Press
ISBN: 9780521041171
Category : Mathematics
Languages : en
Pages : 216
Book Description
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.
Publisher: Cambridge University Press
ISBN: 9780521041171
Category : Mathematics
Languages : en
Pages : 216
Book Description
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.
Measurements of Grid-generated, Nearly Isotropic Turbulence at Small Reynolds Numbers
Author: John C. Bennett
Publisher:
ISBN:
Category : Turbulence
Languages : en
Pages : 224
Book Description
Publisher:
ISBN:
Category : Turbulence
Languages : en
Pages : 224
Book Description
Homogeneous, Isotropic Turbulence
Author: W. D. McComb
Publisher: Oxford University Press, USA
ISBN: 0199689385
Category : Mathematics
Languages : en
Pages : 429
Book Description
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.
Publisher: Oxford University Press, USA
ISBN: 0199689385
Category : Mathematics
Languages : en
Pages : 429
Book Description
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.