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

3. Course Syllabus Modeling General Classification of models 2

4. Course Syllabus M athematical Modeling General Classification of mathematical models 3

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

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

7. 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

8. 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

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

10. EXTRA 9

11. Fluidized bed dryer an example 10

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

13. Fenomenologia del letto fluido bollente 12

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

15. PARABOLIC PDE SOLVER A project by Ugo AVAGLIANO and Caterina SOMMA