The aim of studying and bibliography

The main aim of study: Students obtain theoretical and practical knowledge in the field of the use of modeling to simulation, design and optimization of technological processes.

The general information about the module: Cours include topics: 1. Introduction to modeling. The importance of modeling. The use of a mathematical model for simulation, design, optimization and scale up. 2. Types of mathematical models. Black-box model, neural networks. Deterministic model. Stochastic model. Continuous and discrete models. Steady state and dynamics models. 3. Modeling of physicochemical phenomena, processes and technology systems. 4. Building a deterministic model of the process. The equations, inequalities, and variables of the model. 5. Technological systems modeling methods, acyclic and cyclic systems. 6. Computational techniques to solve mathematical models. 7. Optimization models and optimization techniques. 8. Verification of the mathematical model. 9. Estimation of the model parameters based on experimental data. 10. Examples of biotechnological processes models.

Teaching materials: Strona domowa koordynatora

Bibliography required to complete the module

Bibliography used during lectures

1	Bałdyga. M. Henczka, W. Podgórska	Obliczenia w inżynierii bioreaktorów	Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa.	1996
2	Z.Pakowski, M.Głębowski	Symulacja procesów inżynierii chemicznej	Wydawnictwo Politechniki Łódzkiej, Łódź.	2001
3	K.W. Szewczyk	Bilansowanie i kinetyka procesów biochemicznych	Oficyna Wydawnicza Politechniki Warszawskiej.	2000
4	E.Slaviček	Technika obliczeniowa dla chemików	WNT, Warszawa.	1991
5	J. Jeżowski,	Wprowadzenie do projektowania systemów technologii chemicznej. Cz. I. Teoria, skrypt	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2001
6	Ashok Kumara Verma	Process Modelling and Simulation in Chemical, Biochemical and Environmental Engineering	CRC Press.	2015
7	A. Rasmuson, B. Andersson, L. Olsson, R. Andersson	Mathematical Modeling in Chemical Engineering	Cambrige University Press.	2014
8	S. Ledakowicz	Inżynieria biochemiczna	Wydawnictwo WNT, Warszawa.	2012

Bibliography used during classes/laboratories/others

1	Kamal I. M. Al-Malah	Matlab Numerical Methods with Chemical Engineering Application	McGraw-Hill Education.	2014
2	P. Krzyżanowski	Obliczenia inżynierskie i naukowe	Wydawnictwo Naukowe PWN.	2012
3	Rudra Pratap	Matlab 7 dla naukowców i inżynierów	Wydawnictwo Naukowe PWN, Warszawa.	2007

Basic requirements in category knowledge/skills/social competences

Formal requirements: Completed undergraduate degree in chemical and process engineering, chemical technology or biotechnology

Basic requirements in category knowledge: Basic knowledge of unit operations

Basic requirements in category skills: Basic knowledge of Matlab computational software

Basic requirements in category social competences: No requirements

Module outcomes

MEK	The student who completed the module	Types of classes / teaching methods leading to achieving a given outcome of teaching	Methods of verifying every mentioned outcome of teaching	Relationships with KEK	Relationships with PRK
01	Knowledge about the possibilities of specialized computer programs to simulate the processes and technological installations, as well as programs to supporting mathematical engineering calculations	lecture	written exam	K_W02+++	P7S_WG
02	Knowledge about the construction of basic mathematical models of process and bioprocess equipment	lecture	written exam	K_W04+	P7S_WG
03	Knowledge about the construction of simple optimization models and methods of solving them	lecture	written exam	K_W04+	P7S_WG
04	Ability to use mathematical software for supporting engineering calculations	lab	written test, observation of performance	K_U07+ K_U09+	P7S_UW
05	Ability to use commercial simulation software to computer aided process design	lab	written test, observation of performance	K_U07+ K_U09+	P7S_UW
06	The ability to determine the optimum operating conditions and design variables of process equipment or flowsheet	lab	written test, observation of performance	K_U13++ K_U16+	P7S_UW
07	Awareness of the need for continuous training to explore new methods for solving engineering problems	lecture	written exam	K_K01++	P7S_KK

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem.	TK	The content	realized in	MEK
1	TK01	The importance of modeling. The use of a mathematical model for simulation, design, optimization and scale transfer	W01	MEK01
1	TK02	Types of mathematical models. Buildings of a deterministic process model. Equations, inequalities, and variables of the model.	W02-03	MEK02
1	TK03	Computational techniques for solving mathematical models.	W04	MEK01
1	TK04	Methods of modeling technological systems, acyclic and cyclic systems.	W05-06	MEK01
1	TK05	Buildings of the optimization model. Basics of mathematical optimization. Nondeterministic optimization methods. Application of mathematical optimization.	W07-09	MEK03 MEK07
1	TK06	Reminder basics in Matlab.	L01-02	MEK04
1	TK07	Modeling of vapor-liquid equilibrium.	W10, L03-04	MEK02 MEK04 MEK05
1	TK08	Mixers and splitters modeling.	W11, L05-06	MEK02 MEK04 MEK05
1	TK09	Heat exchangers modeling.	W11, L07-09	MEK02 MEK04
1	TK10	Modeling of mixtures separations units.	W12, L10-16	MEK02 MEK04 MEK05
1	TK11	Reactors and bioreactors modeling.	W13-14, L17-23	MEK02 MEK04 MEK05
1	TK12	Buildings and solutions of optimization models.	L24-L30	MEK06 MEK07

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Lecture (sem. 1)		contact hours: 15.00 hours/sem.	complementing/reading through notes: 5.00 hours/sem. Studying the recommended bibliography: 5.00 hours/sem.
Laboratory (sem. 1)	The preparation for a Laboratory: 10.00 hours/sem. The preparation for a test: 5.00 hours/sem.	contact hours: 30.00 hours/sem.	Finishing/Making the report: 15.00 hours/sem.
Advice (sem. 1)	The preparation for Advice: 5.00 hours/sem.	The participation in Advice: 5.00 hours/sem.
Exam (sem. 1)	The preparation for an Exam: 10.00 hours/sem.	The written exam: 2.00 hours/sem.

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Lecture	Written exam after getting ranking from laboratory exercises - (OW). Scopes of points corresponding to individual evaluations: 3.0 - 60%, 3.5 - 70%, 4.0 - 80%, 4.5 - 90%, 5.0 - 95%.
Laboratory	Performing all laboratory exercises, obtaining positive assessments from final writting test (OL). Scopes of points corresponding to individual evaluations: 3.0 - 60%, 3.5 - 70%, 4.0 - 80%, 4.5 - 90%, 5.0 - 95%.
The final grade	Final rating (OK) OK = 0.5 * OW * ws + 0.5 * OL * ws OW - exam grade OL - grade from passing the laboratory ws - coefficient taking into account the date of passing the exam or exam, ws = 1.0 the first term, ws = 0.9 the second term, ws = 0.8 the third term. When rounding the averages, the following rules apply: up to 3.30 - dst (3.0), 3.31 to 3.75 - + dst (3.5), from 3.76 to 4.25 - db (4.0 ), from 4.26 to 4.70 - + db (4.5), from 4.71 - very good (5.0).

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile: yes

1	D. Antos; R. Bochenek; B. Filip; W. Marek	Flow behavior of protein solutions in a lab-scale chromatographic system	2023
2	D. Antos; K. Baran; R. Bochenek; B. Filip; D. Strzałka	Influence of the geometry of extra column volumes on band broadening in a chromatographic system. Predictions by computational fluid dynamics	2021
3	D. Antos; P. Antos; M. Balawejder; R. Bochenek; J. Gorzelany; K. Kania; M. Kołodziej; N. Matłok; M. Olbrycht; W. Piątkowski; M. Przywara; G. Witek	Sposób wytwarzania nawozu wieloskładnikowego o kontrolowanym uwalnianiu składników	2021
4	D. Antos; P. Antos; M. Balawejder; R. Bochenek; M. Kołodziej; N. Matłok; M. Olbrycht; W. Piątkowski; M. Przywara	Mechanism of nutrition activity of a microgranule fertilizer fortified with proteins	2020
5	D. Antos; P. Antos; M. Balawejder; R. Bochenek; J. Gorzelany; K. Kania; M. Kołodziej; N. Matłok; M. Olbrycht; W. Piątkowski; M. Przywara; G. Witek	Sposób wytwarzania nawozu wieloskładnikowego o kontrolowanym uwalnianiu składników	2019