{"product_id":"practical-aspects-of-finite-element-modelling-of-polymer-processing-isbn-9780471490425","title":"Practical Aspects of Finite Element Modelling of Polymer Processing","description":"Authored by a respected scientist with a growing international reputation this is a self-contained text that can be used by the beginners and the experts alike, to study the basic aspects of finite element modelling. It provides a sound physical understanding of the basis on which mathematical models of polymer processes are built.\u003cbr\u003e * Written from a chemical engineering rather then a mathematical perspective it enables the reader to get up to speed in a relatively short time\u003cbr\u003e * Provides the 'parts and tools' required to assemble finite element models, applicable to situations that arise under realistic conditions\u003cbr\u003e * Discusses and compares specific finite element schemes that provide the most reliable and robust numerical solution procedures for polymer processing models\u003cbr\u003e * Practical examples give a wide ranging view of the application of finite element analysis to industrial problems\u003cbr\u003e * Describes non-Newtonian fluid mechanics equations in a self-contained, concise and clear manner\u003cbr\u003e * Includes clear and simple readily compiled code to model simple problems that can be extended to solve more complex polymer processing problems\u003cbr\u003e This book makes the subject accessible to a wide audience ranging from senior under-graduate to post-graduate engineering students, as well as, researchers and practising engineers involved in polymer industry.Mit diesem Buch lernen Sie, die physikalischen Grundlagen der mathematischen Modelle von Polymerprozessen zu durchschauen! Die in gestraffter Form abgefasste Einführung wendet sich weniger an den Mathematiker als an den praktisch tätigen Chemieingenieur. Spezielle Schemata der Finite-Elemente-Methode, die besonders zuverlässige und robuste numerische Lösungen von Polymerverarbeitungsmodellen liefern, werden ausführlich besprochen. Die Gleichungen der nicht-Newtonschen Strömungsmechanik werden in sich geschlossen, klar und eingängig beschrieben. Gut verständliche, einfache Codebeispiele können zur Modellierung einfacher Probleme verwendet oder für die Lösung komplexerer Aufgaben erweitert werden.  1. The Basic Equations of Non-Newtonian Fluid Mechanics.\u003cbr\u003e \u003cbr\u003e 1.1 Governing Equations of Non-Newtonian Fluid Mechanics\u003cbr\u003e \u003cbr\u003e 1.2 Classification of Inelastic Time-Independent Fluids\u003cbr\u003e \u003cbr\u003e 1.3 Inelatic Time-Dependent Fluids\u003cbr\u003e \u003cbr\u003e 1.4 Viscoelastic Fluids\u003cbr\u003e \u003cbr\u003e 2. Weighted Residual Finite Element Methods -\u003cbr\u003e An Outline.\u003cbr\u003e \u003cbr\u003e 2.1 Finite Element Approximation\u003cbr\u003e \u003cbr\u003e 2.2 Numerical Solutions of Differential Equations by the Weighted Residual Method\u003cbr\u003e \u003cbr\u003e 3. Finite Element Modelling of Polymeric Flow Processes.\u003cbr\u003e \u003cbr\u003e 3.1 Solution of the Equations of Continuity and Motion\u003cbr\u003e \u003cbr\u003e 3.2 Modelling of Viscoelastic Flow\u003cbr\u003e \u003cbr\u003e 3.3 Solution of the Energy Equation\u003cbr\u003e \u003cbr\u003e 3.4 Imposition of Boundary Conditions in Polymeric Processing Models\u003cbr\u003e \u003cbr\u003e 3.5 Free Surface and Moving Boundary Problems\u003cbr\u003e \u003cbr\u003e 4. Working Equations of the Finite Element Schemes.\u003cbr\u003e \u003cbr\u003e 4.1 Modelling of Steady State Stokes Flow of a Generalized Newtonian Fluid\u003cbr\u003e \u003cbr\u003e 4.2 Variations of Viscosity\u003cbr\u003e \u003cbr\u003e 4.3 Modelling of Steady State Viscometric Flow -\u003cbr\u003e Working Equations of the Continuous Penalty Scheme in Cartesian Coordinate Systems\u003cbr\u003e \u003cbr\u003e 4.4 Modelling of Thermal Energy Balance\u003cbr\u003e \u003cbr\u003e 4.5 Modelling of Transient Stokes Flow of Generalized Newtonian and Non-Newtonian Fluids\u003cbr\u003e \u003cbr\u003e 5. Rational Approximations and Illustrative Examples.\u003cbr\u003e \u003cbr\u003e 5.1 Models based on Simplified Domain Geometry\u003cbr\u003e \u003cbr\u003e 5.2 Models based on Simplified Governing Equations\u003cbr\u003e \u003cbr\u003e 5.3 Models representing Selected Segments of a Large Domain\u003cbr\u003e \u003cbr\u003e 5.4 Models based on Decoupled Flow Equations -\u003cbr\u003e Simulation of the Flow inside a Cone-and-Plate Rheometer\u003cbr\u003e \u003cbr\u003e 5.5 Models based on Thin Layer Approximation\u003cbr\u003e \u003cbr\u003e 5.6 Stiffness Analysis of Solid Polymeric Materials\u003cbr\u003e \u003cbr\u003e 6. Finite Element Software -\u003cbr\u003e Main Components.\u003cbr\u003e \u003cbr\u003e 6.1 General Consideration to Finite Element Mesh Generation\u003cbr\u003e \u003cbr\u003e 6.2 Main Components of Finite Element Processor Programs\u003cbr\u003e \u003cbr\u003e 6.3 Numerical Solution of the Global Systems of Algebraic Equations\u003cbr\u003e \u003cbr\u003e 6.4 Solutions Algorithms based on the Gaussian Elimination Method\u003cbr\u003e \u003cbr\u003e 6.5 Computation Errors\u003cbr\u003e \u003cbr\u003e 7. Computer Simulations -\u003cbr\u003e Finite Element Program.\u003cbr\u003e \u003cbr\u003e 7.1 Program Structure and Algorithm\u003cbr\u003e \u003cbr\u003e 7.2 Program Specifications\u003cbr\u003e \u003cbr\u003e 7.3 Input Data File\u003cbr\u003e \u003cbr\u003e 7.4 Extension of PPVN.f to Axisymmetric Problems\u003cbr\u003e \u003cbr\u003e 7.5 Circulatory Flow in a Rectangular Domain\u003cbr\u003e \u003cbr\u003e 7.6 Source Code of PPVN.f\u003cbr\u003e \u003cbr\u003e References\u003cbr\u003e \u003cbr\u003e 8. Appendix -\u003cbr\u003e Summary of Vector and Tensor Analysis.\u003cbr\u003e \u003cbr\u003e 8.1 Vector Algebra\u003cbr\u003e \u003cbr\u003e 8.2 Some Vector Calculua Relations\u003cbr\u003e \u003cbr\u003e 8.3 Tensor Algebra\u003cbr\u003e \u003cbr\u003e 8.4 Some Tensor Calculus Relations\u003cbr\u003e \u003cbr\u003e Author Index.\u003cbr\u003e \u003cbr\u003e Subject Index. Vahid Nassehi is internationally renowned for his work in the field of computer modelling of complex flow processes. He is currently a Reader in Process Modelling in the Chemical Engineering Department of Loughborough University.  Providing a detailed reference that explains methodology and practice, Practical Aspects of Finite Element Modeling of Polymer Processing facilitates the transition from the theoretical treatment of the subject through to practical procedure via:\u003cbr\u003e * a descriptive approach that does not require knowledge of advanced mathematical topics\u003cbr\u003e \u003cbr\u003e * a detailed methodology for finite element modeling of various polymer processing flows\u003cbr\u003e \u003cbr\u003e * working equations of various polymeric flow models in co-ordinate systems, which can be directly translated into computer code\u003cbr\u003e \u003cbr\u003e * modelling methods illustrated by worked examples.\u003cbr\u003e Computational fluid dynamics is a major investigative tool in the design and analysis of complex flow processes encountered in modern industrial operations. At the core of every computational analysis is a numerical method that determines its accuracy, reliability speed and cost effectiveness. The finite element method has been established as a powerful technique that provides these requirements in the solution of fluid flow and heat transfer problems.\u003cbr\u003e \u003cbr\u003e This book develops finite element solution schemes for the governing equations of polymer processing flows and provides coverage of:\u003cbr\u003e * Equations of non-Newtonian fluids mechanics\u003cbr\u003e \u003cbr\u003e * Weighted residual finite element methods\u003cbr\u003e \u003cbr\u003e * Polymeric flow process modeling\u003cbr\u003e \u003cbr\u003e * Working equations of finite element schemes\u003cbr\u003e \u003cbr\u003e * Finite element software\u003cbr\u003e \u003cbr\u003e * Computer simulations","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989828976869,"sku":"NP9780471490425","price":373.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471490425.jpg?v=1761785602","url":"https:\/\/k12savings.com\/es\/products\/practical-aspects-of-finite-element-modelling-of-polymer-processing-isbn-9780471490425","provider":"K12savings","version":"1.0","type":"link"}