On The Stability Of Parallel Flows Of Viscoelastic Liquids
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On The Stability Of Parallel Flows Of Viscoelastic Liquids
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Author : DEAN TRITSCHLER MOOK
language : en
Publisher:
Release Date : 1966
On The Stability Of Parallel Flows Of Viscoelastic Liquids written by DEAN TRITSCHLER MOOK and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
A general linear hereditary stress-strain law is used in studying the stability of plane parallel flows of viscoelastic liquids. A stability equation valid for liquids of arbitrary memory is derived by superposing an infinitesimal, two-dimensional, periodic disturbance on the primary flow. It is shown that in the case of liquids with short memory this stability equation reduces to the one given by Walters in 1962. An asymptotic solution to the stability equation is obtained using the method of inner and outer expansions, as presented by Graebel in 1966. Corrections to his expansions are noted, and the results are compared to those obtained by Chan Man Fong and Walters in 1965. The results indicate that the elastic property of the liquid has a destabilizing effect on the flow. In addition the sum of tensor quantities associated with a given particle at various times is discussed. A comparison of the sum obtained by adding corresponding components when they are referred to the same set of material axes and the sum obtained by adding corresponding components when they are referred to the same set of spatial axes is given. (Author).
The Stability Of Parallel Flows Of Viscoelastic Liquids By D T Mook
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Author : Dean T. Mook
language : en
Publisher:
Release Date : 1970
The Stability Of Parallel Flows Of Viscoelastic Liquids By D T Mook written by Dean T. Mook and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Boundary layer categories.
The Stability Of Parallel Flows Of Visco Elastic Liquids Between Plates At Rest
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Author : Dean T. Mook
language : en
Publisher:
Release Date : 1970
The Stability Of Parallel Flows Of Visco Elastic Liquids Between Plates At Rest written by Dean T. Mook and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Boundary layer categories.
On The Stability Of Parallel Flows Of Visoclastis Liquids
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Author : Dean T. Mook
language : en
Publisher:
Release Date : 1966
On The Stability Of Parallel Flows Of Visoclastis Liquids written by Dean T. Mook and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
The Stability Of Parallel Flows Between Plane Boundaries Of Two Superposed Viscoelastic Fluids
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Author : Norman A. Eisenberg
language : en
Publisher:
Release Date : 1974
The Stability Of Parallel Flows Between Plane Boundaries Of Two Superposed Viscoelastic Fluids written by Norman A. Eisenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Fluid dynamics categories.
The Hydrodynamic Stability Of Viscoelastic Fluids In Plane Parallel Flow
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Author : Kenneth Clark Porteous
language : en
Publisher:
Release Date : 1971
The Hydrodynamic Stability Of Viscoelastic Fluids In Plane Parallel Flow written by Kenneth Clark Porteous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Fluid dynamics categories.
The Stability Of Parallel Flows Of Fluids With Memories
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Author : DEAN T. MOOK AND W.P. GRAEBEL
language : en
Publisher:
Release Date : 1967
The Stability Of Parallel Flows Of Fluids With Memories written by DEAN T. MOOK AND W.P. GRAEBEL and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Stability Of Parallel Flows
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Author : R. Betchov
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Stability Of Parallel Flows written by R. Betchov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Stability of Parallel Flows provides information pertinent to hydrodynamical stability. This book explores the stability problems that occur in various fields, including electronics, mechanics, oceanography, administration, economics, as well as naval and aeronautical engineering. Organized into two parts encompassing 10 chapters, this book starts with an overview of the general equations of a two-dimensional incompressible flow. This text then explores the stability of a laminar boundary layer and presents the equation of the inviscid approximation. Other chapters present the general equations governing an incompressible three-dimensional flow, which requires the massive use of a computer. This book discusses as well the experimental studies on the oscillations of the boundary layer wherein the mean flow is affected by the presence of oscillations. The final chapter describes the concept of the stability of turbulent flows found in boundary layers, wakes, and jets. This book is a valuable resource for physicists, mathematicians, engineers, scientists, and researchers.
Fluid Dynamics Of Viscoelastic Liquids
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Author : Daniel D. Joseph
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Fluid Dynamics Of Viscoelastic Liquids written by Daniel D. Joseph 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 2013-11-27 with Science categories.
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
Some Problems In The Stability Of Flows Of Viscoelastic Fluids
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Author : Pijush Kanti Kundu
language : en
Publisher:
Release Date : 1972
Some Problems In The Stability Of Flows Of Viscoelastic Fluids written by Pijush Kanti Kundu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Viscoelasticity categories.
Three problems in the stability of viscoelastic flows have been theoretically investigated. The case of plane Couette flow has been solved by the classical energy method of Orr. For two-dimensional disturbances of any magnitude the presence of elasticity has been found to stabilize the flow. This result suggests that the viscous sublayer thickness must increase during the so-called Toms phenomenon. It has been found that the results are identical for three fluids, namely the second-order fluid and the Walters fluids A' and B', although the normal stress behavior of these fluids are quite different. This insensitivity to the constitutive equation has been shown to be a result of the two-dimensionality of the problem. Linear stability theory has been used to investigate the stability of two flows of the Oldroyd fluid, namely the plane Poiseuille flow and the circular Couette flow. For both flows the presence of elasticity has been found to destabilize the flow and to increase the critical wavenumber.
