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MATHEMATICAL MODELING OF PROCESSES IN FOOD INDUSTRIES (Modellistica matematica dei processi dellindustria alimentare) Prof. Michele MICCIO Prof. Gianpiero PATARO a.a. 2012-13

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Course Syllabus Modeling General Classification of models 2

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Course Syllabus M athematical Modeling General Classification of mathematical models 3

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Course Syllabus Mathematical Modeling Solution of mathematical models 4 Numerical Methods for parabolic PDEs Finite differences Finite elements Collocation Methods

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Course Syllabus Mathematical modeling and optimization Intro to Optimization General definitions Linear Programming (LP) theory The graphical method The simplex algoritm Optimization 5

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Objectives of the Course To provide the basic knowledge, methods and software instruments in order to: 1)discriminate the complexity of the systems of process engineering and meet the possibilities of abstract representation; 2)classify the models, particularly the ones related to processes; 3)handle the Matlab® software to develop or obtain some classes of models; 4)numerically solve the parabolic partial differential equations; 5)understand and solve Linear Programming problems. 6

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Recommended readings and Study materials Textbook Himmelblau D.M. e Bischoff K.B., Process Analysis and Simulation, John Wiley & Sons Inc., 1967 (Collocazione: 660.281 HIM 1) Consultation book Snieder R., A Guided Tour of Mathematical Methods For the Physical Sciences, 2nd Edition, Cambridge University Press, ISBN-13: 9780521834926, ISBN-10: 0521834929, 2004 (Collocazione: 515 SNI - Inv: 19569 Ing. Bcode: 00118373 ) Other Teaching aids provided by the lecturer Examination texts, lecture slides and other learning material can be retrieved from the web: http://comet.eng.unipr.it/~miccio http://comet.eng.unipr.it/~miccio 7

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Assessment method software-based test ½ score oral colloquium ½ score 8

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EXTRA 9

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Fluidized bed dryer an example 10

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Proprietà fluidodinamiche dei letti fluidi. Comportamento simile ad un liquido Tratto da Kunii and Levenspiel, Fluidization Engineering (1991) 11

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Fenomenologia del letto fluido bollente 12

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ERGUN s/w for fluidized bed design 13 http://www.utc.fr/ergun/

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PARABOLIC PDE SOLVER A project by Ugo AVAGLIANO and Caterina SOMMA

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Advanced Engineering Mathematics by Erwin Kreyszig Copyright 2007 John Wiley & Sons, Inc. All rights reserved. Page 334.

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