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Mathematical Modelling for Polymer Processing

Polymerization, Crystallization, Manufacturing

  • Vincenzo Capasso

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 2)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Polymerization

    1. Front Matter
      Pages 1-1
  3. Nucleation

    1. Front Matter
      Pages 29-29
    2. J. C. Neu, Luis L. Bonilla
      Pages 31-58
    3. Andrzej Ziabicki
      Pages 59-117
    4. D. Reguera, J. M. Rubí, L. L. Bonilla
      Pages 119-163
  4. Crystallization

    1. Front Matter
      Pages 165-165
    2. Vincenzo Capasso, Martin Burger, Alessandra Micheletti, Claudia Salani
      Pages 167-242
    3. Vincenzo Capasso, Daniela Morale, Claudia Salani
      Pages 243-259
  5. Manufacturing

    1. Front Matter
      Pages 261-261
  6. Back Matter
    Pages 311-320

About this book

Introduction

Polymers are substances made of macromolecules formed by thousands of atoms organized in one (homopolymers) or more (copolymers) groups that repeat themselves to form linear or branched chains, or lattice structures. The concept of polymer traces back to the years 1920's and is one of the most significant ideas of last century. It has given great impulse to indus­ try but also to fundamental research, including life sciences. Macromolecules are made of sm all molecules known as monomers. The process that brings monomers into polymers is known as polymerization. A fundamental contri­ bution to the industrial production of polymers, particularly polypropylene and polyethylene, is due to the Nobel prize winners Giulio Natta and Karl Ziegler. The ideas of Ziegler and Natta date back to 1954, and the process has been improved continuously over the years, particularly concerning the design and shaping of the catalysts. Chapter 1 (due to A. Fasano ) is devoted to a review of some results concerning the modelling of the Ziegler- Natta polymerization. The specific ex am pie is the production of polypropilene. The process is extremely complex and all studies with relevant mathematical contents are fairly recent, and several problems are still open.

Keywords

Extrusion color crystal crystallization mathematics polymer polymers stochastics

Editors and affiliations

  • Vincenzo Capasso
    • 1
  1. 1.MIRIAM - Milan Research Centre for Industrial and Applied Mathematics and Department of MathematicsUniversity of MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-55771-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62810-8
  • Online ISBN 978-3-642-55771-2
  • Series Print ISSN 1612-3956
  • Buy this book on publisher's site