Mathematical Modeling: Case Studies from Industry

by Ellis Cumberbatch, Alistair Fitt

Overview

Industrial Mathematics is growing enormously in popularity around the world. This book deals with real industrial problems from real industries. Presented as a series of case studies by some of the world's most active and successful industrial mathematicians, this volume shows clearly how the process of mathematical collaboration with industry can not only work successfully for the industrial partner, but also lead to interesting and important mathematics. The book begins with a brief introduction, where the equations that most of the studies are based upon are summarized. Thirteen different problems are then considered, ranging from the cooking of cereal to the analysis of epidemic waves in animal populations. Throughout the work the emphasis is on telling industry what they really want to know. This book is suitable for all final year undergraduates, master's students, and Ph.D. students who are working on practical mathematical modeling.

Product Details

ISBN-13:	9780521650076
Publisher:	Cambridge University Press
Publication date:	10/01/2001
Pages:	316
Product dimensions:	5.98(w) x 9.02(h) x 0.87(d)

Table of Contents

Introduction; 1. Fluid mechanical modeling of the scroll compressor Peter D. Howell; 2. Determining the viscosity of a carbon paste used in smelting Alistair Fitt; 3. The vibrating element densitometer Ellis Cumberbatch; 4. Acoustic emission from FRP damages hoop-wrapped cylinders D. Rex Westbrook; 5. Modeling the cooking of a single cereal grain Kerry A. Landman and Mark J. McGuinness; 6. Epidemic waves in animal populations: a case study Britta Basse and Graeme C. Wake; 7. Dynamics of automotive catalytic converters Donald Schwendeman; 8. Analysis of an endothermic reaction in a packed column Andrew C. Fowler; 9. Simulation of the temperature behavior of hot glass during cooling Helmut Neunzert, Norbert Siedow and Frank Zingsheim; 10. Water equilibration in vapor-diffusion crystal growth Arnon Chait, Elizabeth Gray and Gerald W. Young; 11. Modeling of quasi-static and dynamic load responses of filled viscoelastic materials H. T. Banks, Gabriella A. Pintér, Laura K. Potter, Michael J. Gaitens and Lynn C. Yanyo; 12. A gasdynamic-acoustic model of a bird scare gun Sjoerd W. Rienstra; 13. Paper tension variations in a printing press Colin P. Please.

What People are Saying About This

From the Publisher

"The editors have done an impressive job of unifying the style, notation, and presentation of these reports, and many read as good short stories for the mathematically initiated....the book is a must for an academic library." Choice

Editorial Reviews

"The editors have done an impressive job of unifying the style, notation, and presentation of these reports, and many read as good short stories for the mathematically initiated....the book is a must for an academic library." Choice

From the Publisher

This volume presents actual industrial problems in order to expose students of high-level modeling courses to the modeling process, as well as to impress them with the diverse nature of applied math in technology transfer. These 13 contributions are products of study groups with industry and math clinics or similar interactions. Following an introduction to the continuum model employed by many of the authors, case studies focus on such areas as the dynamics of automotive catalytic converters, densitometers, and simulation of temperature behavior of hot glass during cooling. Cumberbatch directs the Mathematics Clinic at Claremont Graduate U. Fitt teaches math at the U. of Southampton. Annotation c. Book News, Inc., Portland, OR (booknews.com)