A Fractional Step Theta-Method for Viscoelastic Fluid Flow Using a UPG Approximation PDF Download
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 101
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Book Description
In this article a fractional step theta-method is described and studied for the approximation of time dependent viscoelastic fluid flow equations, using the Johnson-Segalman constitutive model. The theta-method implementation allows the velocity and pressure approximations to be decoupled from the stress, reducing the number of unknowns resolved at each step of the method. The constitutive equation is stabilized using a Streamline Upwinded Petrov-Galerkin "SUPG"--Method. A priori error estimates are given for the approximation scheme. Numerical computations supporting the theoretical results and demonstrating the theta-method are also presented.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 101
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Book Description
In this article a fractional step theta-method is described and studied for the approximation of time dependent viscoelastic fluid flow equations, using the Johnson-Segalman constitutive model. The theta-method implementation allows the velocity and pressure approximations to be decoupled from the stress, reducing the number of unknowns resolved at each step of the method. The constitutive equation is stabilized using a Streamline Upwinded Petrov-Galerkin "SUPG"--Method. A priori error estimates are given for the approximation scheme. Numerical computations supporting the theoretical results and demonstrating the theta-method are also presented.
Author: J.A. Covas
Publisher: Springer Science & Business Media
ISBN: 9401585717
Category : Technology & Engineering
Languages : en
Pages : 470
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Book Description
Experts in rheology and polymer processing present up-to-date, fundamental and applied information on the rheological properties of polymers, in particular those relevant to processing, contributing to the physical understanding and the mathematical modelling of polymer processing sequences. Basic concepts of non-Newtonian fluid mechanics, micro-rheological modelling and constitutive modelling are reviewed, and rheological measurements are described. Topics with practical relevance are debated, such as linear viscoelasticity, converging and diverging flows, and the rheology of multiphase systems. Approximation methods are discussed for the computer modelling of polymer melt flow. Subsequently, polymer processing technologies are studied from both simulation and engineering perspectives. Mixing, crystallization and reactive processing aspects are also included. Audience: An integrated and complete view of polymer processing and rheology, important to institutions and individuals engaged in the characterisation, testing, compounding, modification and processing of polymeric materials. Can also support academic polymer processing engineering programs.
Author: National Research Council
Publisher: National Academies Press
ISBN: 030903793X
Category : Science
Languages : en
Pages : 236
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Book Description
In the next 10 to 15 years, chemical engineers have the potential to affect every aspect of American life and promote the scientific and industrial leadership of the United States. Frontiers in Chemical Engineering explores the opportunities available and gives a blueprint for turning a multitude of promising visions into realities. It also examines the likely changes in how chemical engineers will be educated and take their place in the profession, and presents new research opportunities.
Author: L. A. Utracki
Publisher:
ISBN: 9789400760653
Category : Polymer engineering
Languages : en
Pages : 1800
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Book Description
Written by an international group of highly respected contributors, this fundamental reference work covers all aspects of polymer blends: science, engineering, technology and applications.
Author: J. Sabatier
Publisher: Springer Science & Business Media
ISBN: 1402060424
Category : Technology & Engineering
Languages : en
Pages : 550
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Book Description
In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.
Author: Richard L. Magin
Publisher:
ISBN: 9781567004953
Category :
Languages : en
Pages :
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Book Description
"This book is written for bioengineers who wish to learn more about fractional calculus (integration and differentiation of arbitrary order) and the ways in which it can be used to solve biomedical problems. However, the text covers a wide range of topics (bioelectrodes, biomaterials, neural networks, etc.) that I hope will be of interest to other scientists and engineers as well as to bioengineers. Examples and exercises show that with only a small change in notation and perspective, fractional calculus extends many of the modeling capabilities of conventional calculus and integer order differential equations. By combining an "engineer's" approach to fractional calculus - largely through using the Laplace transform - with examples taken from a variety of biomedical applications, this book will help new students learn to use the techniques of fractional calculus. The second edition of this book contains updates and corrections to equations and descriptions from the first edition"--
Author: L. A. Utracki
Publisher:
ISBN: 9781569901045
Category : Science
Languages : en
Pages : 367
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Book Description
An introduction to polymer alloys and blends.
Author: Mohan Lal Kolhe
Publisher: Springer
ISBN: 9811361487
Category : Technology & Engineering
Languages : en
Pages : 801
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Book Description
This book comprises select proceedings of the International Conference on Smart Technologies for Energy, Environment, and Sustainable Development (ICSTEESD 2018). The chapters are broadly divided into three focus areas, viz. energy, environment, and sustainable development, and discusses the relevance and applications of smart technologies in these fields. A wide variety of topics such as renewable energy, energy conservation and management, energy policy and planning, environmental management, marine environment, green building, smart cities, smart transportation are covered in this book. Researchers and professionals from varied engineering backgrounds contribute chapters with an aim to provide economically viable solutions to sustainable development challenges. The book will prove useful for academics, professionals, and policy makers interested in sustainable development.
Author: David Ronald Kincaid
Publisher: American Mathematical Soc.
ISBN: 0821847880
Category : Mathematics
Languages : en
Pages : 810
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Book Description
This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Author: Morton E. Gurtin
Publisher: Cambridge University Press
ISBN: 1139482157
Category : Science
Languages : en
Pages : 721
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Book Description
The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.
