Stochastic Processes in Polymeric Fluids

Stochastic Processes in Polymeric Fluids

Author: Hans C. Öttinger

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 384

ISBN-13: 3642582907

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This book consists of two strongly interweaved parts: the mathematical theory of stochastic processes and its applications to molecular theories of polymeric fluids. The comprehensive mathematical background provided in the first section will be equally useful in many other branches of engineering and the natural sciences. The second part provides readers with a more direct understanding of polymer dynamics, allowing them to identify exactly solvable models more easily, and to develop efficient computer simulation algorithms in a straightforward manner. In view of the examples and applications to problems taken from the front line of science, this volume may be used both as a basic textbook or as a reference book. Program examples written in FORTRAN are available via ftp from ftp.springer.de/pub/chemistry/polysim/.


Book Synopsis Stochastic Processes in Polymeric Fluids by : Hans C. Öttinger

Download or read book Stochastic Processes in Polymeric Fluids written by Hans C. Öttinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two strongly interweaved parts: the mathematical theory of stochastic processes and its applications to molecular theories of polymeric fluids. The comprehensive mathematical background provided in the first section will be equally useful in many other branches of engineering and the natural sciences. The second part provides readers with a more direct understanding of polymer dynamics, allowing them to identify exactly solvable models more easily, and to develop efficient computer simulation algorithms in a straightforward manner. In view of the examples and applications to problems taken from the front line of science, this volume may be used both as a basic textbook or as a reference book. Program examples written in FORTRAN are available via ftp from ftp.springer.de/pub/chemistry/polysim/.


Dynamics of Polymeric Liquids: Bird, R. B., Armstrong, R. C., Hassager, O. Fluid mechanics

Dynamics of Polymeric Liquids: Bird, R. B., Armstrong, R. C., Hassager, O. Fluid mechanics

Author: Robert Byron Bird

Publisher: John Wiley & Sons

Published: 1977

Total Pages: 584

ISBN-13:

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Book Synopsis Dynamics of Polymeric Liquids: Bird, R. B., Armstrong, R. C., Hassager, O. Fluid mechanics by : Robert Byron Bird

Download or read book Dynamics of Polymeric Liquids: Bird, R. B., Armstrong, R. C., Hassager, O. Fluid mechanics written by Robert Byron Bird and published by John Wiley & Sons. This book was released on 1977 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Dynamics of Polymeric Liquids, 2 Volume Set

Dynamics of Polymeric Liquids, 2 Volume Set

Author: R. Byron Bird

Publisher: Wiley-Interscience

Published: 1991-01-16

Total Pages: 1086

ISBN-13: 9780471518440

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This two-volume work is detailed enough to serve as a text and comprehensive enough to stand as a reference. Volume 1, Fluid Mechanics, summarizes the key experiments that show how polymeric fluids differ from structurally simple fluids, then presents, in rough historical order, various methods for solving polymer fluid dynamics problems. Volume 2, Kinetic Theory, uses molecular models and the methods of statistical mechanics to obtain relations between bulk flow behavior and polymer structure. Includes end-of-chapter problems and extensive appendixes.


Book Synopsis Dynamics of Polymeric Liquids, 2 Volume Set by : R. Byron Bird

Download or read book Dynamics of Polymeric Liquids, 2 Volume Set written by R. Byron Bird and published by Wiley-Interscience. This book was released on 1991-01-16 with total page 1086 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work is detailed enough to serve as a text and comprehensive enough to stand as a reference. Volume 1, Fluid Mechanics, summarizes the key experiments that show how polymeric fluids differ from structurally simple fluids, then presents, in rough historical order, various methods for solving polymer fluid dynamics problems. Volume 2, Kinetic Theory, uses molecular models and the methods of statistical mechanics to obtain relations between bulk flow behavior and polymer structure. Includes end-of-chapter problems and extensive appendixes.


Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids

Author: A.I. Leonov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 492

ISBN-13: 9401112584

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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.


Book Synopsis Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids by : A.I. Leonov

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.


Dynamics of Polymeric Liquids

Dynamics of Polymeric Liquids

Author: Robert Byron Bird

Publisher: John Wiley & Sons

Published: 1977

Total Pages: 314

ISBN-13:

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Book Synopsis Dynamics of Polymeric Liquids by : Robert Byron Bird

Download or read book Dynamics of Polymeric Liquids written by Robert Byron Bird and published by John Wiley & Sons. This book was released on 1977 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Bubbles in Polymeric Liquids

Bubbles in Polymeric Liquids

Author: S.P. Levitsky

Publisher: CRC Press

Published: 1995-01-09

Total Pages: 316

ISBN-13: 9781566762472

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From the Authors' Preface The advancements of technology . . . and chemical engineering have brought about extensive use of a wide range of rheologically complex materials, e.g., polymeric solutions and melts, suspensions, mixtures, oil products, fibre-forming substances, etc. that are characterized by diverse and, every so often, significant deviations from classical Newtonian behavior. Such materials are often used in conditions where the formation of vapor-gas bubbles or two-phase flow regimes is possible. This necessitates deep investigations into the thermo-hydrodynamic problems of liquids with bubbles for the case of a continuous phase with anomalous rheological properties. These conditions are typical of a number of applications and manufacturing processes, e.g., gas removal from polymeric solutions or melts in production of film, chemical fibres and other polymeric materials. . . . The bubbles containing gas or vapor-gas mixtures are often present in polymeric systems. This is because of a number of reasons, e.g., a low wettability of solid surfaces by polymers, the use of volatile solvents, abundance of vapor-gas nuclei, the capture of gas by porous or fibre-like polymeric particles during the polymer dissolution or melting, etc. Spontaneous evacuation of bubbles in polymeric media is usually complicated by a high viscosity of the liquid; therefore two-phase polymeric systems possess a higher sedimentation and aggregation stability than bubble mixtures in low-molecular-weight liquids. One of the main problems in the dynamics of vapor-liquid and gas-liquid systems is the investigation of heat and mass transfer and phase interactions in a liquid with bubbles. The decisive importance of this problem in the analysis of various aspects of the bubbly fluid behavior under diverse conditions, in particular, during a sound wave propagation, has given impetus to numerous researches. The current state of art in the investigation of Newtonian liquids with bubbles is described in voluminous literature. However, these problems have been much less studied for non-Newtonian systems. Behavior of bubbles in polymeric liquids is of great interest because of wide application in chemical technology. . . . In a number of processes connected with the application of polymeric fluids, the dynamic interaction of bubbles with liquid phase plays the key role. Such interaction in the case of a polymeric liquid phase are essentially influenced by the specific properties of macromolecular fluids, including primarily the rheological effects. These effects in the bubble dynamics combined with heat and mass transfer between the bubble content and the ambient liquid constitute the main subject of the analysis presented in this book. Macrokinetics Laboratory, and Full Professor at the Byelorussian Polytechnic Institute, Department of Heat and Power Engineering. Dr. Schulman is recognized as a leading authority in his field of investigation. Extensive Bibliography: A valuable feature of this new book is its extensive international bibliography, with 393 references.


Book Synopsis Bubbles in Polymeric Liquids by : S.P. Levitsky

Download or read book Bubbles in Polymeric Liquids written by S.P. Levitsky and published by CRC Press. This book was released on 1995-01-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Authors' Preface The advancements of technology . . . and chemical engineering have brought about extensive use of a wide range of rheologically complex materials, e.g., polymeric solutions and melts, suspensions, mixtures, oil products, fibre-forming substances, etc. that are characterized by diverse and, every so often, significant deviations from classical Newtonian behavior. Such materials are often used in conditions where the formation of vapor-gas bubbles or two-phase flow regimes is possible. This necessitates deep investigations into the thermo-hydrodynamic problems of liquids with bubbles for the case of a continuous phase with anomalous rheological properties. These conditions are typical of a number of applications and manufacturing processes, e.g., gas removal from polymeric solutions or melts in production of film, chemical fibres and other polymeric materials. . . . The bubbles containing gas or vapor-gas mixtures are often present in polymeric systems. This is because of a number of reasons, e.g., a low wettability of solid surfaces by polymers, the use of volatile solvents, abundance of vapor-gas nuclei, the capture of gas by porous or fibre-like polymeric particles during the polymer dissolution or melting, etc. Spontaneous evacuation of bubbles in polymeric media is usually complicated by a high viscosity of the liquid; therefore two-phase polymeric systems possess a higher sedimentation and aggregation stability than bubble mixtures in low-molecular-weight liquids. One of the main problems in the dynamics of vapor-liquid and gas-liquid systems is the investigation of heat and mass transfer and phase interactions in a liquid with bubbles. The decisive importance of this problem in the analysis of various aspects of the bubbly fluid behavior under diverse conditions, in particular, during a sound wave propagation, has given impetus to numerous researches. The current state of art in the investigation of Newtonian liquids with bubbles is described in voluminous literature. However, these problems have been much less studied for non-Newtonian systems. Behavior of bubbles in polymeric liquids is of great interest because of wide application in chemical technology. . . . In a number of processes connected with the application of polymeric fluids, the dynamic interaction of bubbles with liquid phase plays the key role. Such interaction in the case of a polymeric liquid phase are essentially influenced by the specific properties of macromolecular fluids, including primarily the rheological effects. These effects in the bubble dynamics combined with heat and mass transfer between the bubble content and the ambient liquid constitute the main subject of the analysis presented in this book. Macrokinetics Laboratory, and Full Professor at the Byelorussian Polytechnic Institute, Department of Heat and Power Engineering. Dr. Schulman is recognized as a leading authority in his field of investigation. Extensive Bibliography: A valuable feature of this new book is its extensive international bibliography, with 393 references.


Birth-and-growth Stochastic Processes Modelling Polymer Crystallization

Birth-and-growth Stochastic Processes Modelling Polymer Crystallization

Author: Vincenzo Capasso

Publisher:

Published: 1997

Total Pages: 26

ISBN-13:

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Book Synopsis Birth-and-growth Stochastic Processes Modelling Polymer Crystallization by : Vincenzo Capasso

Download or read book Birth-and-growth Stochastic Processes Modelling Polymer Crystallization written by Vincenzo Capasso and published by . This book was released on 1997 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Dynamics of Polymeric Liquids, Kinetic Theory

Dynamics of Polymeric Liquids, Kinetic Theory

Author: R. Byron Bird

Publisher: Wiley-Interscience

Published: 1987-05-04

Total Pages: 464

ISBN-13: 9780471802440

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Book Synopsis Dynamics of Polymeric Liquids, Kinetic Theory by : R. Byron Bird

Download or read book Dynamics of Polymeric Liquids, Kinetic Theory written by R. Byron Bird and published by Wiley-Interscience. This book was released on 1987-05-04 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Models for Polymeric and Anisotropic Liquids

Models for Polymeric and Anisotropic Liquids

Author: Martin Kröger

Publisher: Springer

Published: 2009-09-02

Total Pages: 234

ISBN-13: 9783540811824

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Models should be as simple as possible, but no simpler. For the physics of polymeric liquids, whose relevant lengths and time scales are out of reach for first principles calculations, this means that we have to choose a minimum set of sufficiently detailed descriptors such as architecture (linear, ring, branched), connectivity, semiflexibility, stretchability, excluded volume, and hydrodynamic interaction. These 'universal' fluids allow the prediction of material properties under external flow- or electrodynamic fields, the results being expressed in terms of reference units, specific for any particular chosen material. This book provides an introduction to the kinetic theory and computer simulation methods needed to handle these models and to interpret the results. Also included are a number of sample applications and computer codes.


Book Synopsis Models for Polymeric and Anisotropic Liquids by : Martin Kröger

Download or read book Models for Polymeric and Anisotropic Liquids written by Martin Kröger and published by Springer. This book was released on 2009-09-02 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models should be as simple as possible, but no simpler. For the physics of polymeric liquids, whose relevant lengths and time scales are out of reach for first principles calculations, this means that we have to choose a minimum set of sufficiently detailed descriptors such as architecture (linear, ring, branched), connectivity, semiflexibility, stretchability, excluded volume, and hydrodynamic interaction. These 'universal' fluids allow the prediction of material properties under external flow- or electrodynamic fields, the results being expressed in terms of reference units, specific for any particular chosen material. This book provides an introduction to the kinetic theory and computer simulation methods needed to handle these models and to interpret the results. Also included are a number of sample applications and computer codes.


Multiscale modelling of dilute polymeric fluids with stochastic and Fokker-Planck-based methods

Multiscale modelling of dilute polymeric fluids with stochastic and Fokker-Planck-based methods

Author: Alexander Rüttgers

Publisher:

Published: 2010

Total Pages: 199

ISBN-13:

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Book Synopsis Multiscale modelling of dilute polymeric fluids with stochastic and Fokker-Planck-based methods by : Alexander Rüttgers

Download or read book Multiscale modelling of dilute polymeric fluids with stochastic and Fokker-Planck-based methods written by Alexander Rüttgers and published by . This book was released on 2010 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: