This is the tenth volume in the series "Mathematics in Industrial Prob lems. " The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots level;" that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subse quent discussions. Each chapter is devoted to one of the talks and is self contained. The chapters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the previous volume, as well as references to papers in which such solutions have been published. The speakers in the Seminar on Industrial Problems have given us at the IMA hours of delight and discovery.
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This is the tenth volume in Avner Friedman's collection of "Mathematics in Industrial Problems". These books aim to foster interaction between industry and mathematics at the "grass roots" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Motorola, IBM, Ford Motor Company, Eastman Kodak, 3M, AT&T Labs, Honeywell, and Schlumberger-Doll Research. The topics explored in this volume include semiconductor devices and microaccelerometers, computational aeroacoustics, coating flows, coalescence, electrorheological fluids, mass transport in particle-loaded beds, metal cutting processes, network traffic analysis, risk management, micromagnetics, and cooling systems. Open problems and references to mathematical literature are incorporated into most of the chapters. The final chapter contains solutions to problems raised in previous parts of the series, "Mathematics in Industrial Problems", published in the "IMA Volumes in Mathematics and its Applications".
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