Process Calculations for Chemical Engineering Flavio Manenti CMIC Dept. ‘Giulio Natta’ 2 Contacts • Flavio Manenti Alexander von Humboldt Professor of Chemical Plants and Operations POLITECNICO DI MILANO Dipartimento di Chimica, Materiali e Ingegneria Chimica "Giulio Natta" SuPER (Sustainable Process Engineering Research) Team Piazza Leonardo da Vinci, 32 - I-20133 Milano, ITALY TECHNISCHE UNIVERSITAT BERLIN DBTA (Dynamic und Betrieb Technischer Anlagen) Faculty Sekt. KWT 9, Strasse des 17.Juni, 135 - D-10623 Berlin, GERMANY Phone IT +39.(0)2.2399.3273 - DE +49 (0)30 314 26905 Fax IT +39.(0)2.2399.3280 Email flavio.manenti@polimi.it Web http://super.chem.polimi.it Excellence Cluster: www.reinforce.polimi.it Students: Wednesday 10:15 – 11:15 (please, ask via email for) MSc and PhD students and visiting: no limitations Flavio Manenti – Dipartimento CMIC “Giulio Natta” People 3 Staff: • Claudia Bianchi, Giulia Bozzano, Flavio Manenti, Sauro Pierucci, Carlo Pirola • Guido Buzzi Ferraris Collaborators: • • • • • • • • • • • • André Furtado Amaral, Brazil-Italy, Coal/biomass Gassification Andrea Bassani, Italy, Sulfur Recovery Units Lorenzo Cabianca, Belgium-Italy, Multiobjective Optimization Michele Corbetta, Italy-USA, Biorefineries Andres Ricardo Garzon-Leon, Colombia-Italy, Polymer Science Ergys Pahija, Hong Kong, 3rd generation biorefinery Davide Papasidero, Italy-The Netherlands, Food Engineering Francesco Rossi, Italy-USA, Process Optimization Mattia Vallerio, Belgium, Optimal Control Sergei Mikhalevitz, Russian Fed., Process Control Eva M. Speelmanns, Germany, catalytic Reactors Sandra Fillinger, Germany, MOSAIC platform Industrial Consultants: • Maria Grazia Grottoli, Lucio Molinari Students: 16 ongoing thesis projects Flavio Manenti – Dipartimento CMIC “Giulio Natta” Goal of the course • Use of foundations of numerical analysis • Solve common problems of chemical engineering • Examples: Linear systems overall mass balances Root-finding Bubble temperature Optimization Process yield … • Use of programming languages MS Visual C++ • Use of numerical libraries BzzMath library • Map 2014 • Practical solutions • Real problems Flavio Manenti – Dipartimento CMIC “Giulio Natta” 4 Course program 5 • Lectures Basic Concepts (V1C1) • Error Sources, Approximation Error, Error Propagation • Decision-Making for an Optimal Program Square Linear Systems (V1C4) • Gauss, Alternative Methods • Conditioning of Linear Systems • Pivoting, Determinant, Inverse Matrix Structured Linear Systems (V1C5) • Symmetric Sparse Matrices, Band Matrices, Diagonal Block Matrices • Foundations of Iterative Methods Overdimensioned Linear Systems (V1C6) • Orthogonal Matrices, QR Factorization, SVD Factorization, Null Space Underdimensioned Linear Systems (V1C7) • LQ Factorization, Null Space, Concepts of Minimization Eigenvalues and Eigenvectors (V1C8) Flavio Manenti – Dipartimento CMIC “Giulio Natta” Course program Interpolation (V2C1) • Polynomial, Cubic Spline, Chebyshev Fundamentals of Statistics (V2C2, V2C3) • Indices, concepts of data analysis, robustness Function Root-finding (V3C1) • Bolzano, Newton, Secants, Regula Falsi… • Basic for Zero-Crossing Problems One-dimensional Optimization (V3C2) Definite Integrals (V4C1) Ordinary Differential Equations (ODEs) Systems (V4C2) • Methods, Stiffness Differential-Algebraic Equations Systems (V4C4) • Multivalue methods Flavio Manenti – Dipartimento CMIC “Giulio Natta” 6 Course plan • Week 1 – Week 3 Theory and practice in MS Visual C++ • Week 4 – Week 12 Lectures • Theory • Very foundation of programming Labs • • • • Library use Solution of real problems Implementation tricks Code debugging • Final exam Preliminary test Practical test (mandatory) Oral test (optional) Flavio Manenti – Dipartimento CMIC “Giulio Natta” 7 8 References • Vol. 1 Buzzi-Ferraris, Manenti, Fundamentals and Linear Algebra for the Chemical Engineer: Solving Numerical Problems, WILEYVCH, Weinheim, Germany, 2010 • Vol. 2 Buzzi-Ferraris, Manenti, Interpolation and Regression Models for the Chemical Engineer: Solving Numerical Problems, WILEY-VCH, Weinheim, Germany, 2010 • Vol. 3 Buzzi-Ferraris, Manenti, Nonlinear Systems and Optimization for the Chemical Engineer: Solving Numerical Problems, WILEY-VCH, Weinheim, Germany, 2013 • Vol. 4 Buzzi-Ferraris, Manenti, Differential and Differential-Algebraic Systems for the Chemical Engineer: Solving Numerical Problems, WILEY-VCH, Weinheim, Germany, 2014 http://super.chem.polimi.it Flavio Manenti – Dipartimento CMIC “Giulio Natta”
© Copyright 2024 Paperzz