Title | Mathematical Modelling for Polymer Processing [electronic resource] : Polymerization, Crystallization, Manufacturing / edited by Vincenzo Capasso |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003 |

Connect to | http://dx.doi.org/10.1007/978-3-642-55771-2 |

Descript | XIV, 320 p. online resource |

SUMMARY

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 indusยญ 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 contriยญ 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

CONTENT

Polymerization -- 1 Mathematical Models for Polymerization Processes of Ziegler-Natta Type -- Nucleation -- 2 Classical Kinetic Theory of Nucleation and Coarsening -- 3 Multidimensional Theory of Crystal Nucleation -- 4 Kinetic Theory of Nucleation in Polymers -- Crystallization -- 5 Mathematical Models for Polymer Crystallization Processes -- 6 Polymer Crystallization Processes via Many Particle Systems -- Manufacturing -- 7 Modelling of Industrial Processes for Polymer Melts: Extrusion and Injection Moulding -- Appendix. Color Plates

Mathematics
Polymers
Chemical engineering
Partial differential equations
Applied mathematics
Engineering mathematics
Condensed matter
Statistical physics
Dynamical systems
Mathematics
Partial Differential Equations
Applications of Mathematics
Polymer Sciences
Condensed Matter Physics
Industrial Chemistry/Chemical Engineering
Statistical Physics Dynamical Systems and Complexity