Mathematics in Industrial Problems: Part 10

ISBN-13: 9780387985183 / Angielski / Twarda / 1998 / 189 str.

Friedman; Avner Friedman

Opis

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.

Spis treści

1 Simulation and modeling of updrain TMOS devices.- 1.1 Applications.- 1.2 Structure of a smart power device.- 1.3 Mathematical models.- 1.4 Solution to problem (1).- 1.5 Partial solution to problem (3).- 1.6 References.- 2 Strategic risk management using stochastic programming.- 2.1 Dynamic programming.- 2.2 Stochastic programming.- 2.3 Bundling.- 2.4 Epiconsistency.- 2.5 Future directions.- 2.6 References.- 3 Discrete fluids using lattice gas methods.- 3.1 Computational aeroacoustics.- 3.2 Lattice gas methods.- 3.3 Hypercubic lattice.- 3.3.1 Aerodynamic studies.- 3.3.2 Acoustic study.- 3.4 Open opportunities.- 3.5 References.- 4 Computer-aided design of developable surfaces.- 4.1 Developable surfaces.- 4.2 Properties of developable surfaces.- 4.3 Developable Bézier surfaces.- 4.4 Open problems.- 4.5 References.- 5 Modeling techniques for computation of coating flows.- 5.1 Coating configuration.- 5.2 The governing equations.- 5.3 Fluid flow in a slot.- 5.4 Inclined boundary.- 5.5 References.- 6 Measuring coalescence rates.- 6.1 The coalescence problem.- 6.2 Introducing chemiluminescent species.- 6.3 Results and open problems.- 6.4 Partial solutions.- 6.5 References.- 7 The light field for diffusely scattering media.- 7.1 The problem.- 7.2 Radiation transfer.- 7.3 Modulation transfer function.- 7.4 Solving for I.- 7.5 Further questions.- 7.6 References.- 8 The changing nature of network traffic analysis and modeling.- 8.1 Motivation.- 8.2 Changes and challenges.- 8.3 Self-similar processes.- 8.4 An example.- 8.5 Open problems.- 8.6 References.- 9 Stress-induced warpage in micro-accelerometers.- 9.1 Micro-accelerometers.- 9.2 Warping in micro-accelerometers.- 9.3 Buckling of micromachined structure.- 9.4 Solution to problem (1).- 9.5 References.- 10 Exchange energy representations in computational micromagnetics.- 10.1 Micromagnetic structure.- 10.2 The Landau-Lifshitz-Gilbert equation.- 10.3 Numerical methods.- 10.4 Open problem.- 10.5 References.- 11 Nonlinear effects in electrorheological fluids.- 11.1 Elect rorheological fluids.- 11.2 An integral equation approach.- 11.3 A time dependent model.- 11.4 Open problems.- 11.5 Solution to problems (1)(2).- 11.6 References.- 12 Modeling of a building cooling system.- 12.1 Cooling systems terminology.- 12.2 A cooling system diagram.- 12.3 Statement of the problem.- 12.4 Dynamic equations.- 12.5 Open problems.- 12.6 References.- 13 Mass transport and adsorption in particle-loaded beds.- 13.1 Adsorption measurements.- 13.2 A mathematical model.- 13.3 A simplified model.- 13.4 Numerical and experimental results.- 13.5 References.- 14 Growth instability in metal electrodeposition.- 14.1 The Hull cell.- 14.2 Model equations.- 14.3 Open problems.- 14.4 References.- 15 Simulation of production metal cutting processes.- 15.1 Metal cutting process.- 15.2 Model equations.- 15.3 Numerical results.- 15.4 References.- 16 Application of inverse scattering to oil field evaluation problems.- 16.1 Extended Born approximation.- 16.2 An inversion approach.- 16.3 Imaging pits in corroded steel casings.- 16.4 References.- 17 Solutions to problems from previous parts.- 17.1 Part 5.- 17.2 Part 7.- 17.3 Part 9.- 17.4 References.