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Author: Lothar Schäfer
Publisher: Springer Science & Business Media
ISBN: 364260093X
Category : Science
Languages : en
Pages : 554
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Book Description
Schäfer gives a concise overview of the static equilibrium properties of polymer solutions. In the first part diagrammatic perturbation theory is derived from scratch. The second part illustrates the basic ideas of the renormalization group (RG). The crucial role of dilation invariance is stressed. The more efficient method of dimensional regularization and minimal subtractions is worked out in part three. The fourth part contains a unified evaluation of the theory to the one loop level. All the important experimental quantities are discussed in detail, and the results are compared extensively to experiment. Empirical methods of data analysis are critically discussed. The final (fifth) part is devoted to extensions of theory. The first three parts of this book may serve as the basis of a course. Parts four and five are hoped to be useful for detailed quantitative evaluations of experiments.
Author: Lothar Schäfer
Publisher: Springer Science & Business Media
ISBN: 364260093X
Category : Science
Languages : en
Pages : 554
Get Book Here
Book Description
Schäfer gives a concise overview of the static equilibrium properties of polymer solutions. In the first part diagrammatic perturbation theory is derived from scratch. The second part illustrates the basic ideas of the renormalization group (RG). The crucial role of dilation invariance is stressed. The more efficient method of dimensional regularization and minimal subtractions is worked out in part three. The fourth part contains a unified evaluation of the theory to the one loop level. All the important experimental quantities are discussed in detail, and the results are compared extensively to experiment. Empirical methods of data analysis are critically discussed. The final (fifth) part is devoted to extensions of theory. The first three parts of this book may serve as the basis of a course. Parts four and five are hoped to be useful for detailed quantitative evaluations of experiments.
Author: Lothar Schäfer
Publisher: Springer
ISBN:
Category : Comics & Graphic Novels
Languages : en
Pages : 584
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Book Description
Schäfer gives a concise overview of the static equilibrium properties of polymer solutions. In the first part diagrammatic perturbation theory is derived from scratch. The second part illustrates the basic ideas of the renormalization group (RG). The crucial role of dilation invariance is stressed. The more efficient method of dimensional regularization and minimal subtractions is worked out in part three. The fourth part contains a unified evaluation of the theory to the one loop level. All the important experimental quantities are discussed in detail, and the results are compared extensively to experiment. Empirical methods of data analysis are critically discussed. The final (fifth) part is devoted to extensions of theory. The first three parts of this book may serve as the basis of a course. Parts four and five are hoped to be useful for detailed quantitative evaluations of experiments.
Author: Hiromi Yamakawa
Publisher: Springer
ISBN: 3662487160
Category : Technology & Engineering
Languages : en
Pages : 517
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Book Description
This book presents the "helical wormlike chain" model – a general model for both flexible and semiflexible polymer chains. It explains how statistical-mechanical, hydrodynamic, and dynamic theories of their solution properties can be developed on the basis of this model. This new second edition has been carefully updated and thoroughly revised. It includes a new chapter covering "Simulation and More on Excluded-Volume Effects", as well as the discussion of new experimental data and the application of the theory to ring polymers. The authors provide analysis of important recent experimental data by the use of their theories for flexible polymers over a wide range of molecular weights, including the oligomer region, and for semiflexible polymers, including biological macromolecules such as DNA. This is all clearly illustrated using a reasonable number of theoretical equations, tables, figures, and computer-aided forms, which support the understanding of the basic theory and help to facilitate its application to experimental data for the polymer molecular characterization.
Author: K. Kamide
Publisher: Elsevier
ISBN: 0080538886
Category : Science
Languages : en
Pages : 675
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Book Description
This book is mainly concerned with building a narrow but secure ladder which polymer chemists or engineers can climb from the primary level to an advanced level without great difficulty (but by no means easily, either). This book describes some fundamentally important topics, carefully chosen, covering subjects from thermodynamics to molecular weight and its distribution effects. For help in self-education the book adopts a "Questions and Answers" format. The mathematical derivation of each equation is shown in detail. For further reading, some original references are also given. Numerous physical properties of polymer solutions are known to be significantly different from those of low molecular weight solutions. The most probable explanation of this obvious discrepancy is the large molar volume ratio of solute to solvent together with the large number of consecutive segments that constitute each single molecule of the polymer chains present as solute. Thorough understanding of the physical chemistry of polymer solutions requires some prior mathematical background in its students. In the original literature, detailed mathematical derivations of the equations are universally omitted for the sake of space-saving and simplicity. In textbooks of polymer science only extremely rough schemes of the theories and then the final equations are shown. As a consequence, the student cannot learn, unaided, the details of the theory in which he or she is interested from the existing textbooks; however, without a full understanding of the theory, one cannot analyze actual experimental data to obtain more basic and realistic physical quantities. In particular, if one intends to apply the theories in industry, accurate understanding and ability to modify the theory are essential.
Author: Lothar Schafer
Publisher:
ISBN: 9783642600944
Category : Gardening
Languages : en
Pages : 0
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Book Description
Author: Shikha Somani
Publisher: Stanford University
ISBN:
Category :
Languages : en
Pages : 135
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Book Description
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.
Author: José Miguel Aguilera
Publisher: Springer Science & Business Media
ISBN: 9780834212565
Category : Cooking
Languages : en
Pages : 466
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Book Description
An Aspen Food Engineering Series Book. This new edition provides a comprehensive reference on food microstructure, emphasizing its interdisciplinary nature, rooted in the scientific principles of food materials science and physical chemistry. The book details the techniques available to study food microstructure, examines the microstructure of basic food components and its relation to quality, and explores how microstructure is affected by specific unit operations in food process engineering. Descriptions of a number of food-related applications provide a better understanding of the complexities of the microstructural approach to food processing. Color plates.
Author: H. Fujita
Publisher: Elsevier
ISBN: 0444596631
Category : Science
Languages : en
Pages : 388
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Book Description
Remarkable progress has been made in the last two decades in the study of concentrated polymer solutions leading to many new concepts, theories, and techniques in the field of polymer science. Any description of the theory of polymer solutions is now insufficient unless both concentrated and dilute solutions are given equal attention. This book reviews recent developments in the study of dilute and concentrated polymer solutions, emphasizing mainly the typical equilibrium and steady-state dynamic properties of linear homopolymers. The author strives to clarify the gap which still remains open between current theories and well-documented experimental results, thereby stimulating further efforts toward a more accurate understanding of polymer solutions.The book contains a collection of typical experimental data and their comparison with current theories, molecular or phenomenological, a summary of recent advances in the physics of concentrated polymer solutions and melts, and an elementary account of the renormalization group theory as applied to dilute solutions. Polymer Solutions should prove invaluable as a reference work for graduate students and specialists in this field.
Author: Ronald P. Danner
Publisher: John Wiley & Sons
ISBN: 0470938226
Category : Technology & Engineering
Languages : en
Pages : 194
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Book Description
Created for engineers and students working with pure polymers and polymer solutions, this handbook provides up-to-date, easy to use methods to obtain specific volumes and phase equilibrium data. A comprehensive database for the phase equilibria of a wide range of polymer-solvent systems, and PVT behavior of pure polymers are given, as are accurate predictive techniques using group contributions and readily available pure component data. Two computer programs on diskettes are included. POLYPROG implements procedures given for prediction and correlation for specific volume of pure polymer liquids and calculation of vapor-liquid equilibria (VLE) of polymer solutions. POLYDATA provides an easy method of accessing the data contained in the many databases in the book. Both disks require a computer with a math coprocessor. This handbook is a valuable resource in the design and operation of many polymer processes, such as polymerization, devolatilization, drying, extrusion, and heat exchange. Special Details: Hardcover with Disks. Special offer: Purchase this book along with X-131, Handbook of Diffusion and Thermal Properties of Polymers and Polymer Solutions and receive a 20 percent discount off the list or member price.
Author: Hans C. Öttinger
Publisher: Springer Science & Business Media
ISBN: 3642582907
Category : Technology & Engineering
Languages : en
Pages : 384
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Book Description
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/.
