Polymer Dynamics In Dilute Media
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Polymer Dynamics In Dilute Media
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Author : Shikha Somani
language : en
Publisher: Stanford University
Release Date : 2011
Polymer Dynamics In Dilute Media written by Shikha Somani and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Polymers undergo a sharp coil to stretch conformational transition in extension dominated flows when the strain rate exceeds a critical value. Dramatic change in flow behavior is known to occur at the coil-stretch transition, making it useful for several commercial applications. Despite decades of study, this phenomenon remains surrounded with controversy as the effect of solvent properties and fluid flow elements on this transition is not fully understood. In this work, we present a study of the coil-stretch transition and related hysteresis phenomenon using stochastic computer simulations. We first investigate the effect of solvent quality on the coil-stretch transition using Brownian dynamics simulations. Unlike experiments, which are plagued with problems related to polydispersity of polymers and inaccurate control over flow profiles, simulations offer a powerful platform to systematically study the effect of solvent quality while keeping all other parameters in the system constant. The system consists of a polymer subjected to planar elongational flow in both theta solvents and good solvents. The polymer is represented by a bead-spring chain model undergoing elongational flow. Solvent-mediated effects such as fluctuating hydrodynamic interactions (HI) and excluded volume (EV) are included rigorously. Conformational hysteresis is understood in terms of a 1-D energy landscape theory with an activation energy barrier for transition. At steady state, depending upon the flow rate, the energy landscape can either have one or two energy wells. An energy landscape with one well corresponds to the coiled state at low flow rate and stretched state at high flowrate. The double welled landscape corresponds to the hysteretic regime where both coiled and stretched conformational states coexist across the ensemble population. A key factor in determining the effect of solvent quality is the use of a proper measure of solvent quality. In almost all earlier studies, the effect of molecular weight on solvent quality has been neglected, producing inconsistent results. Here, the solvent quality is quantified carefully such that the effect of molecular weight and temperature is taken into account. Contrary to earlier findings, it is observed that with improvement in solvent quality, the chains unravel faster and the critical strain rate at which the coil to stretch transition takes place decreases. Furthermore, the solvent quality has a profound effect on the scaling of the critical strain rate with molecular weight and on both the transient and steady state properties of the system. Universal functions are shown to exist for the observed dynamic and static properties, which will prove useful in determining the operating parameters for experiments. In particular, the ratio of the two different relaxation times (longest relaxation time and zero shear rate viscosity) is found to be a universal function of solvent quality independent of molecular weight. The relaxation times (both the longest relaxation time and the zero shear rate viscosity) increase while the critical strain rate is found to decrease with solvent quality. Next, the study of conformational hysteresis is extended to more complicated 3-D flows to understand the effect of flow vorticity on this phenomenon. Heretofore, there has been no systematic methodology for studying the dynamical interactions between polymer molecules and elementary flow patterns in three-dimensional flows. Such a framework is essential not just for gaining valuable insights into the physics of complex fluids at a fundamental level, but it is also crucial for various important applications like turbulent drag reduction where the underlying physical mechanisms involve dynamical interactions between polymers and turbulence fine scale flow features. Such a study is presented here to provide a framework to interpret complex fluid phenomenon in terms of elementary flow patterns. We investigate the conformational hysteresis using rigorous Brownian dynamics simulations and specifically explore the effect of flow vorticity on the lifetime and width of the hysteresis window in 3-D flows. A systematic procedure is developed with careful eigenvalue analysis to explore the sole effect of vorticity on polymer dynamics keeping the principal strain rate fixed. It is observed that the hysteresis width shrinks due to increase in flow vorticity irrespective of the flow type (bi-extensional, bi-compressional, spiral-inwards, spiral-outwards etc). This is further traced to the alignment of eigenvectors with the principal eigenvector direction leading to enhanced fluctuations. Vorticity is found to have a significant effect on both the transient and the steady state properties. Understanding the effect of vorticity on polymer conformational hysteresis can further help in understanding the fundamental processes in complex flows.
The Theory Of Polymer Dynamics
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Author : Masao Doi
language : en
Publisher: Oxford University Press
Release Date : 1988
The Theory Of Polymer Dynamics written by Masao Doi and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
This book provides a comprehensive account of the modern theory for the dynamical properties of polymer solutions. The theory has undergone dramatic evolution over the last two decades due to the introduction of new methods and concepts that have extended the frontier of theory from dilute solutions in which polymers move independently to concentrated solutions where many polymers converge. Among the properties examined are viscoelasticity, diffusion, dynamic light scattering, and electric birefringence. Nonlinear viscoelasticity is discussed in detail on the basis of molecular dynamical models. The book bridges the gap between classical theory and new developments, creating a consistent picture of polymer solution dynamics over the entire concentration range.
Introduction To Polymer Dynamics
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Author : Pierre-Gilles de Gennes
language : en
Publisher: CUP Archive
Release Date : 1990-09-20
Introduction To Polymer Dynamics written by Pierre-Gilles de Gennes and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-20 with Mathematics categories.
This book, based on lectures given at the Polytechnic of Milan, gives a broad overview of the field of polymer dynamics. In these lectures the aim is to stress the fundamental concepts of the behaviour of polymers without drawing on the more advanced mathematical formalism which often obscures the natural elegance of the subject matter. Professor De Gennes is one of the most distinguished workers in the field of material science. Therefore this book will be welcomed by both the experienced researcher in the area and the interested layman. It will be of particular value to graduate students.
The Mesoscopic Theory Of Polymer Dynamics
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Author : Vladimir N. Pokrovskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-16
The Mesoscopic Theory Of Polymer Dynamics written by Vladimir N. Pokrovskii 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 2009-12-16 with Science categories.
The theory presented in this book explains in a consistent manner all dynamics effects observed in very concentrated solutions and melts of linear polymers from a macromolecular point of view. The presentation is compact and self-contained.
Polymer Dynamics In Confined And Concentrated Media
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Author : Ajey Krishnamurty Dambal
language : en
Publisher:
Release Date : 2009
Polymer Dynamics In Confined And Concentrated Media written by Ajey Krishnamurty Dambal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Phenomenology Of Polymer Solution Dynamics
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Author : George D. J. Phillies
language : en
Publisher:
Release Date : 2011
Phenomenology Of Polymer Solution Dynamics written by George D. J. Phillies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Electronic books categories.
"Presenting a completely new approach to examining how polymers move in non-dilute solution, this book focuses on experimental facts, not theoretical speculations, and concentrates on polymer solutions, not dilute solutions or polymer melts. From centrifugation and solvent dynamics to viscosity and diffusion, experimental measurements and their quantitative representations are the core of the discussion. The book reveals several experiments never before recognized as revealing polymer solution properties. A novel approach to relaxation phenomena accurately describes viscoelasticity and dielectric relaxation and how they depend on polymer size and concentration. Ideal for graduate students and researchers interested in the properties of polymer solutions, the book covers real measurements on practical systems, including the very latest results. Every significant experimental method is presented in considerable detail, giving unprecedented coverage of polymers in solution"--
Stochastic Mechanics Of Discrete Media
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Author : David R. Axelrad
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Mechanics Of Discrete Media written by David R. Axelrad 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 2012-12-06 with Science categories.
For the past three decades the mechanics of structured media, frequently called micromechanics, has been recognized as an important new approach in the analysis of material behaviour. This book discusses the modern use of mathematical analysis to the stochastic mechanics of discrete media. The theoretical study is therefore based on set and measure theory and the application of point processes.
Polymer And Cell Dynamics
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Author : Wolfgang Alt
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Polymer And Cell Dynamics written by Wolfgang Alt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Polymer and cell dynamics play an important role in processes like tumor growth, metastasis, embryogenesis, immune reactions and regeneration. Based on an international workshop on numerical simulations of polymer and cell dynamics in Bad Honnef (Germany) in 2000, this volume provides an overview of the relevant mathematical and numerical methods, their applications and limits. Polymer and Cell Dynamics will be of interest to scientists and advanced undergraduates.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1978
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mechanics, Applied categories.
Molecular Dynamics Of Additives In Polymers
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Author : Alexander Kovarski
language : en
Publisher:
Release Date : 2023
Molecular Dynamics Of Additives In Polymers written by Alexander Kovarski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with SCIENCE categories.
This volume focuses on the dynamical behaviour of low-molecular additives in solid polymer matrixes. It covers: types and models of molecular motion in condensed media; dependence of motional frequency on particle structure and size, temperature, volume and stress; and polymer properties and polymeric structures. Extensive analysis of common regularities of rotational and translational dynamics of molecules introduced into polymers are given. The book also includes experimental techniques for molecular mobility evaluation, and features detailed data on rotational dynamics of additives. It should be of interest to specialists in various fields of polymer physical chemistry and materials science.