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Step by Step Approach to the Modeling of Chemical Engineering Processes: Using Excel for simulation 1st ed. 2018 [Hardback]

  • Formāts: Hardback, 173 pages, height x width: 235x155 mm, weight: 522 g, 33 Illustrations, color; 72 Illustrations, black and white; XVII, 173 p. 105 illus., 33 illus. in color., 1 Hardback
  • Izdošanas datums: 09-Jan-2018
  • Izdevniecība: Springer International Publishing AG
  • ISBN-10: 3319660462
  • ISBN-13: 9783319660462
  • Hardback
  • Cena: 73,68 €*
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  • Formāts: Hardback, 173 pages, height x width: 235x155 mm, weight: 522 g, 33 Illustrations, color; 72 Illustrations, black and white; XVII, 173 p. 105 illus., 33 illus. in color., 1 Hardback
  • Izdošanas datums: 09-Jan-2018
  • Izdevniecība: Springer International Publishing AG
  • ISBN-10: 3319660462
  • ISBN-13: 9783319660462
This book treats modeling and simulation in a simple way, that builds on the existing knowledge and intuition of students. They will learn how to build a model and solve it using Excel.

Most chemical engineering students feel a shiver down the spine when they see a set of complex mathematical equations generated from the modeling of a chemical engineering system. This is because they usually do not understand how to achieve this mathematical model, or they do not know how to solve the equations system without spending a lot of time and effort.

Trying to understand how to generate a set of mathematical equations to represent a physical system (to model) and solve these equations (to simulate) is not a simple task. A model, most of the time, takes into account all phenomena studied during a Chemical Engineering course. In the same way, there is a multitude of numerical methods that can be used to solve the same set of equations generated from the modeling, and many different computational languages can be adopted to implement the numerical methods. As a consequence of this comprehensiveness and combinatorial explosion of possibilities, most books that deal with this subject are very extensive and embracing, making need for a lot of time and effort to go through this subject. 









It is expected that with this book the chemical engineering student and the future chemical engineer feel motivated to solve different practical problems involving chemical processes, knowing they can do that in an easy and fast way, with no need of expensive software.
1 Introduction
1(4)
2 The Recipe to Build a Mathematical Model
5(8)
2.1 The Recipe
6(2)
2.2 The Recipe Applied to a Simple System
8(5)
3 Lumped-Parameter Models
13(36)
3.1 Some Introductory Examples
13(8)
3.2 Some Concepts About Convective Heat Exchange
21(7)
3.3 Some Concepts About Chemical Kinetics and Reactors
28(21)
3.3.1 Some Concepts About Kinetics of Chemical Reactions
29(1)
3.3.2 Some Concepts About Chemical Reactors
30(17)
References
47(2)
4 Distributed-Parameter Models
49(40)
4.1 Some Introductory Examples
49(9)
4.2 Concepts About Transfer by Diffusion
58(19)
4.2.1 Diffusive Transport of Heat
58(1)
4.2.2 Diffusive Transport of Mass
59(1)
4.2.3 Diffusive Transport of Momentum
60(2)
4.2.4 Analogies Among All Diffusive Transports
62(1)
4.2.5 Examples Considering the Diffusive Effects on the Modeling
62(15)
4.3 Examples Considering Variations in More than One Dimension
77(12)
References
87(2)
5 Solving an Algebraic Equations System
89(24)
5.1 Problems Involving Linear Algebraic Equations
89(7)
5.2 Problems Involving Nonlinear Algebraic Equations
96(8)
5.2.1 Demonstration of the NR Method to Solve a Nonlinear Algebraic Equations System
97(4)
5.2.2 Numerical Differentiation
101(1)
5.2.3 Using Excel to Solve a Nonlinear Algebraic Equation Using the NR Method
102(2)
5.3 Solving Linear and Nonlinear Algebraic Equations Using the Solver Tool
104(9)
References
111(2)
6 Solving an Ordinary Differential Equations System
113(32)
6.1 Motivation
113(3)
6.2 Runge--Kutta Numerical Methods
116(6)
6.2.1 First Order Runge--Kutta Method, or Euler Method
116(1)
6.2.2 Second Order Runge--Kutta Method
117(3)
6.2.3 Runge--Kutta Method of the Fourth Order
120(2)
6.3 Solving ODEs Using an Excel Spreadsheet
122(7)
6.3.1 Solving a Single ODE Using Runge--Kutta Methods
122(4)
6.3.2 Solving a System of Interdependent ODEs Using Runge--Kutta Methods
126(3)
6.4 Solving ODEs Using Visual Basic
129(16)
6.4.1 Enabling Visual Basic in Excel
130(1)
6.4.2 Developing an Algorithm to Solve One ODE Using the Euler Method
130(5)
6.4.3 Developing an Algorithm to Solve One ODE Using the Runge--Kutta Fourth-Order Method
135(1)
6.4.4 Developing an Algorithm to Solve a System of ODEs Using the Euler and Fourth-Order Runge--Kutta Methods
136(8)
References
144(1)
7 Solving a Partial Differential Equations System
145(20)
7.1 Motivation
145(1)
7.2 Finite Difference Method
146(2)
7.3 Introductory Example of Finite Difference Method Application
148(1)
7.4 Application of the Finite Difference Method
149(16)
7.4.1 PDEs Transformed into an Algebraic Equations System
150(4)
7.4.2 PDEs Transformed into an ODE System
154(1)
7.4.3 Solving a System of PDEs
155(5)
7.4.4 PDEs with Flux Boundary Conditions
160(5)
Appendix 7.1 165(3)
Appendix 7.2 168(1)
References 169(2)
Index 171
Liliane Lona has degree (1991), master's (1994) and PhD (1996) in Chemical Engineering from the University of Campinas (Unicamp). She developed postdoctoral studies at the Institute for Polymer Research at the University of Waterloo - Canada (2002). Her master's and PhD were related to modelling and simulation of petrochemical processes and her post-doctoral studies in the area of modelling, simulation and optimization of polymerization reactors. In 1996 Liliane became professor at School of Chemical Engineering - Unicamp and in 2010 she became full professor in the area of analysis and simulation of chemical process. Liliane Lona taught for more than 20 times an undergraduate course related to the area of this book. She supervised dozens of grade and undergraduate students in the modeling and simulation area, and many of this works received awards, such as i) BRASKEM/ Brazilian Association of Chemical Engineering Award (2007), ii) Petrobras Award Pipeline Technology (2000 and 2003), iii) Regional Council of Chemistry Award (2000). Liliane published many scientific papers in qualified journals and was postgraduate coordinator (2006-2010) and Director (2010-2014) of the Chemical Engineering School Unicamp.