Download or read book A Class of Non Isothermal Viscoelastic Fluids written by Marcel J. Crochet and published by . This book was released on 1971 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper is concerned mainly with non-isothermal constitutive equations and related thermodynamical results for a class of simple fluids with fading memory. The development is partly motivated by a 'flow-like' behavior of some organic polymers at a sufficiently high temperature and can also be regarded as the counterpart of (and supplementary to) an earlier study of a class of viscoelastic solids. Special cases of our general results pertaining to a finite linear theory and an incompressible viscoelastic fluid, as well as the relationship of the stress constitutive equation in the latter case with the corresponding result for materials of differential type, are discussed. (Author).
Download or read book Numerical Modeling of Non Isothermal Viscoelastic Fluids written by Stefanie Meburger and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal control of non isothermal viscoelastic fluid flow written by Karl Kunisch and published by . This book was released on 1998 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book IUTAM Symposium on Numerical Simulation of Non Isothermal Flow of Viscoelastic Liquids written by J.F. Dijksman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decades a considerable effort has been made on the computation of the isothermal flow of viscoelastic fluids. In fact the activities related to this particular field of non-Newtonian fluid mechanics have focused on the following questions: which type of constitutive equation describes non-Newtonian fluid behaviour; how to measure fluid parameters; and what type of computational scheme leads to reliable, stable and cost-effective computer programs. During the same period, typical non-Newtonian fluid phenomena have been experimentally examined, such as the flow through a `four-to-one' contraction, the flow around a sphere or separation flow, providing fresh challenges for numerical modellers. Apart from momentum transport, however, fluid flow is strongly influenced by heat treansport in most real industrial operations in which non-Newtonian fluids are processed. The IUTAM Symposium on `Numerical Simulation of Nonisothermal Flow of Viscoelastic Liquids' held at Rolduc Abbey in Kerkrade, the Netherlands, November 1--3, 1993, was organised to monitor the state of affairs in regard to the influence of nonisothermal effects on the flow of a viscoelastic liquid. The present collection of papers gives an overview of what has been achieved so far. It is a milestone in the rapidly emerging and exciting new field in non-Newtonian fluid mechanics.
Download or read book On Thermal Effects in a Special Class of Viscoelastic Fluids written by M. J. Crochet and published by . This book was released on 1972 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief account is given of a non-isothermal theory of a restricted class of viscoelastic fluids with fading memory followed by its application to some special viscometric flow. (Author).
Download or read book Creep and Relaxation of Nonlinear Viscoelastic Materials written by William N. Findley and published by Courier Corporation. This book was released on 2013-01-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book.
Download or read book Theoretical Experimental and Numerical Contributions to the Mechanics of Fluids and Solids written by James Casey and published by Birkhäuser. This book was released on 2012-12-06 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special issue of ZAMP is published to honor Paul M. Naghdi for his contributions to mechanics over the last forty years and more. It is offered in celebration of his long, productive career in continuum mechan ics; a career which has been marked by a passion for the intrinsic beauty of the subject, an uncompromising adherence to academic standards, and an untiring devotion to our profession. Originally, this issue was planned in celebration of Naghdi's 70th birthday, which occurred on 29 March 1994. But, as the papers were being prepared for the press, it became evident that the illness from which Professor Naghdi had been suffering during recent months was extremely serious. On 26 May 1994, a reception took place in the Department of Mechanical Engineering at Berkeley, at which Naghdi received The Berkeley Citation (which is given in lieu of an honorary degree) and where he was also presented with the Table of Contents of the present collection. Subse quently, he had the opportunity to read the papers in manuscript form. He was very touched that his colleagues had chosen to honor him with their fine contributions. The knowledge that he was held in such high esteem by his fellow scientists brought a special pleasure and consolation to him in his last weeks. On Saturday evening, 9 July 1994, Paul Naghdi succumbed to the lung cancer which he had so courageously endured.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Viscoelasticity and Rheology written by Arthur S. Lodge and published by Academic Press. This book was released on 2014-06-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.
Download or read book Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids written by A.I. Leonov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents theoretical and experimental studies of flows of elastic liquids. Falling into this category are particularly the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer processing. These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer processing in the usual case of an appreciable nonlinear region of deformation where nonlinear effects of shear and extensional elasticity are very important. Viscoelastic constitut ive equations cited commonly (see, e.g. Refs 5 and 6) do not describe simultaneously even the simplest cases of deformations, viz. simple shear and uniaxial extension. Moreover, some of them are internally inconsist ent and sometimes display highly unstable behaviour in simple flows without any fundamental reasons. Even more respected molecular ap free from these defects.
Download or read book Journal of Rheology written by and published by . This book was released on 2001 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes abstracts from the Journal of the Society of Rheology, Japan.
Download or read book Rheology written by Giovanni Astarita and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the VIIth International Congress on Rheology, which was held in Goteborg in 1976, Proceedings were for the first time printed in advance and distributed to all participants at the time of the Congress. Although of course we Italians would be foolish to even try to emulate our Swedish friends as far as efficiency of organization is concerned, we decided at the very beginning that, as far as the Proceedings were concerned, the VIIIth International Congress on Rheology in Naples would follow the standards of time liness set by the Swedish Society of Rheology. This book is the result we have obtained. We wish to acknowledge the cooperation of Plenum Press in producing it within the very tight time schedule available. Every four years, the International Congress on Rheology represents the focal point where all rheologists meet, and the state of the art is brought up to date for everybody interested; the Proceedings represent the written record of these milestones of scientific progress in rheology. We have tried to make use of the traditions of having invited lectures, and of leaving to the organizing committee the freedom to choose the lecturers as they see fit, in order to collect a group of invited lectures which gives as broad as possible a landscape of the state of the art in every relevant area of rheology. The seventeen invited lectures are collected in the first volume of the proceedings.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Keller Box Method and Its Application written by Kuppalapalle Vajravelu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-19 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the problems arising in science and engineering are nonlinear. They are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation.
Download or read book Stability of Non Linear Constitutive Formulations for Viscoelastic Fluids written by Dennis A. Siginer and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids provides a complete and up-to-date view of the field of constitutive equations for flowing viscoelastic fluids, in particular on their non-linear behavior, the stability of these constitutive equations that is their predictive power, and the impact of these constitutive equations on the dynamics of viscoelastic fluid flow in tubes. This book gives an overall view of the theories and attendant methodologies developed independently of thermodynamic considerations as well as those set within a thermodynamic framework to derive non-linear rheological constitutive equations for viscoelastic fluids. Developments in formulating Maxwell-like constitutive differential equations as well as single integral constitutive formulations are discussed in the light of Hadamard and dissipative type of instabilities.
Download or read book Mathematics of Heat Transfer written by G. E. Tupholme and published by Clarendon Press/Institute of Mathematics and its Applications. This book was released on 1998-07-09 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: During this century, as no other, the two themes of mathematics and heat transfer have become inextricably intertwined, and it was with this underlying sentiment that this volume was conceived. It includes contributions from fifteen countries throughout the world, covering various problems in heat transfer. The contributors work in diverse fields and include mathematicians, theoretical engineers, experimentalists and industrialists.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
