Download or read book The Stability of Parallel Flows of Viscoelastic Liquids by D T Mook written by Dean T. Mook and published by . This book was released on 1970 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ON THE STABILITY OF PARALLEL FLOWS OF VISCOELASTIC LIQUIDS written by DEAN TRITSCHLER MOOK and published by . This book was released on 1966 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book On the Stability of Parallel Flows of Visoclastis Liquids written by Dean T. Mook and published by . This book was released on 1966 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Stability of Parallel Flows of Visco elastic Liquids Between Plates at Rest written by Dean T. Mook and published by . This book was released on 1970 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Hydrodynamic Stability of Viscoelastic Fluids in Plane Parallel Flow written by Kenneth Clark Porteous and published by . This book was released on 1971 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Stability of Parallel Flows Between Plane Boundaries of Two Superposed Viscoelastic Fluids written by Norman A. Eisenberg and published by . This book was released on 1974 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability of Parallel Flows written by R. Betchov and published by Elsevier. This book was released on 2012-12-02 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book THE STABILITY OF PARALLEL FLOWS OF FLUIDS WITH MEMORIES written by DEAN T. MOOK AND W.P. GRAEBEL and published by . This book was released on 1967 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fluid Dynamics of Viscoelastic Liquids written by Daniel D. Joseph and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book NBS Special Publication written by and published by . This book was released on 1971 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Report written by United States. National Bureau of Standards and published by . This book was released on 1968 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Problems in the Stability of Flows of Viscoelastic Fluids written by Pijush Kanti Kundu and published by . This book was released on 1972 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Hydrodynamic Instabilities written by François Charru and published by Cambridge University Press. This book was released on 2011-06-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.
Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1967 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Stability of Viscoelastic Fluids written by J. Dunwoody and published by Longman. This book was released on 1989 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Stability of Elongational Flow of Viscoelastic Liquids I written by Hui Chang and published by . This book was released on 1972 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report involves the 'spinnability' of high polymers. A new, simple method of analyzing the stability of elongational flow of a cylindrical liquid filament is presented. At time t, the filament is assumed to be composed of two uniform cylinders, of unequal cross-sectional areas A(1)(t), A(2)(t), connected end to end. A constant, uniform tensile force F is suddenly applied at t = 0. Using the 'rubberlike liquid' constitutive equations, the area ratio A(1)(t)/A(2)(t) can be obtained from solutions of a non-linear Volterra integral equation. Numerical solutions are obtained by two independent methods: a step-by-step integration of the Volterra equation, and a Runge-Kutta solution of the non-linear second-order ordinary differential equation to which the Volterra equation can be reduced.
Download or read book Hydraulic Research in the United States and Canada written by United States. National Bureau of Standards and published by . This book was released on 1968 with total page 1046 pages. Available in PDF, EPUB and Kindle. Book excerpt:
