The aim of studying and bibliography

The main aim of study: Provide to students the knowledge essential to understand individual operations of the chemical engineering.

The general information about the module: The student is getting the knowledge in the scope of fluid mechanics, the heat and mass transport.

Bibliography required to complete the module

Bibliography used during lectures

1	Tadeusz Hobler	Ruch ciepła i wymienniki	WNT .	1976
2	Tadeusz Hobler	Dyfuzyjny ruch masy i absorbery	WNT.	1979
3	Z. Kembłowski; St. Michałowski; Cz. Strumiłło; R. Zarzycki	Teoretyczne podstawy inżynierii chemicznej	WNT.	1985
4	E. Tuliszka	Mechanika płynów	PWN.	1980
5	Praca zbiorowa pod red. Zdzisława Ziółkowskiego	Podstawowe procesy inżynierii chemicznej. Przenoszenie pędu, ciepła i masy,	PWN, W-wa.	1982
6	R. Gryboś	Podstawy mechaniki płynów	PWN.	1989
7	K.Kaczmarski	Mechanika płynów - materiały pomocnicze	Polit. Rzeszowska.	2011
8	Dorota Antos, Krzysztof Kaczmarski, Wojciech Piątkowski	Wymiana ciepła - materiały pomocnicze	Pol. Rzeszowska.	2011
9	Krzysztof Kaczmarski i Wojciech Piątkowski	Przenoszenie masy - materiały pomocnicze	Politechnika Rzeszowska.	2011

Bibliography used during classes/laboratories/others

1	Roman Zarzycki	Zadania rachunkowe z inżynierii chemicznej	PWN.	1980
2	K.F.Pawłow; P.G. Romankow; A.A. Noskow	Przykłady i zadania z zakresu aparatury i inżynierii	WNT.	1988
3	Zdzisław Kawala; Maksymilian Pająk; Jan Szust	Zbiór zadań z podstawowych procesów inżynierii, część I,II,III	Pol. Wrocławska.	1980
4	praca zbiorowa pod redakcją T.Kudry	Zbiór zadań z podstaw teoretycznych inżynierii chemicznej i procesowej	WNT.	1985
5	Praca zbiorowa pod red. Jana Bandrowskiego	Materiały pomocnicze do ćwiczeń i projektów z inżynierii chemicznej”	skrypt Pol. Śląska.

Bibliography to self-study

1

Literatura do wykładów

.

Basic requirements in category knowledge/skills/social competences

Formal requirements: registration for the given semester

Basic requirements in category knowledge: Student has knowledge from the range of mathematics on the level of the basic courses of mathematics at the universities.

Basic requirements in category skills: Student has a skill for self-education.

Basic requirements in category social competences: Has the knowledge from mathematics in the range allowing to application of mathematical methods to the description of chemical and physical processes and making necessary calculations in the engineer

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	Student has an elementary knowledge about laws ruling the equilibrium conditions and the flow of ideal and real fluids, Newtonian and not Newtonian fluids, in the laminar as well as turbulent flows, taking into account the flows through porous bed as well as interaction with surfaces of solid bodies.	lecture	exam	K_W09++ K_W13+	P6S_WG
02	Student has an elementary knowledge about laws ruling the heat and mass transport within one phase as well as between not mixing phases. He knows basic equations for the energy and mass. balance. He has elementary knowledge of the method of designing periodic and continuous mass and heat exchangers.	lecture	exam	K_W09+ K_W13++	P6S_WG
03	He is able to use basic mathematical relations to calculations of the flow rate and pressures drops for simple and commonly met fluid flows as well as for static conditions.	exercises for lectures	colloquium	K_U12+ K_U18+	P6S_UW
04	Student is able to use methods of dimentional analysis for modeling the processes of fluid mechanic, heat and mass transport.	exercises for lectures	Colloquium	K_U12+ K_U18+	P6S_UW
05	Student is able to solve equations of the heat and mass balance for simple problems.	exercises for lectures	Colloquium	K_U12+ K_U18+	P6S_UW

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
5	TK01	Momentum transport. Ideal and real fluids, forces acting in fluids. Fluid statics, equilibrium conditions, Pascal, Euler, Archimedes laws. Fluid kinematics. Analytical methods of fluid kinetic. Continuity equation, Euler equation of motion. Laminar and turbulent flow. Boundary layer. General and differential momentum and mass balances. Navier-Stokes equation. Selected analytical solution of Navier-Stokes equation. Theory of turbulence- elements. Elements of rheology. Flow through porous media. Dimensionless analysis: Rayleigh method, Buckingham theorem, method of differential equations. Energy transport. Steady and unsteady heat conduction. First Fourier low and its application. Differential energy balance, method of solution of energy balance equation. Heat convection, heat transfer, Newton equation, overall heat transfer. Energy transport by radiation. Energy transport by convection and radiation. Basics rules of heat exchanger designing. Mass transport. Steady and unsteady diffusion. First and second Fick law. Maxwell-Stefan equations for multicomponent diffusion. Differential mass balance. Exemplary analytical solution of mass balance equation. Estimation of diffusion coefficients. Mass convection, single-phase, two-phase mass transfer. Basics rules of mass exchanger designing. Theoretical one stage exchanger, multi stage exchanger, exchanger with continuous phase contact. Axial dispersion.	W30, C60	MEK01 MEK02 MEK03 MEK04 MEK05

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Lecture (sem. 5)		contact hours: 30.00 hours/sem.	complementing/reading through notes: 20.00 hours/sem.
Class (sem. 5)	The preparation for a Class: 20.00 hours/sem. The preparation for a test: 10.00 hours/sem.	contact hours: 60.00 hours/sem.
Advice (sem. 5)		The participation in Advice: 5.00 hours/sem.
Exam (sem. 5)	The preparation for an Exam: 30.00 hours/sem.	The oral exam: 1.00 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	exam - final grade - arithmetic mean of the grades obtained for each question
Class	Test from momentum, heat and mass transport. Final grade - arithmetic mean of the grades obtained for each test.
The final grade	((exam grade)*0.7+( exercises grade)*0.3)*w, but not less than 3 w - coefficient taking into account the term when positive final grade was obtained, w = 1,0 first term, w = 0,9 second term, w = 0,8 third term.

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	K. Kaczmarski; M. Szukiewicz	Analytical and numerical solutions of linear and nonlinear chromatography column models	2024
2	T. Fornstedt; K. Kaczmarski; M. Leśko; J. Samuelsson	Prediction of overloaded concentration profiles under ultra-high-pressure liquid chromatographic conditions	2024
3	W. Czechtizky; T. Fornstedt; M. Jora; K. Kaczmarski; T. Leek; M. Leśko; J. Samuelsson; K. Stavenhagen	Strategies for predictive modeling of overloaded oligonucleotide elution profiles in ion-pair chromatography	2023
4	K. Kaczmarski; E. Lorenc-Grabowska; M. Przywara	Advanced modelling of adsorption process on activated carbon	2022
5	T. Fornstedt; K. Kaczmarski; M. Leśko; J. Samuelsson	A closer study of overloaded elution bands and their perturbation peaks in ion-pair chromatography	2022
6	K. Kaczmarski; M. Szukiewicz	An efficient and robust method for numerical analysis of a dead zone in catalyst particle and packed bed reactor	2021
7	K. Kaczmarski; M. Szukiewicz	Modeling of a Real-Life Industrial Reactor for Hydrogenation of Benzene Process	2021
8	M. Chutkowski; K. Kaczmarski	Impact of changes in physicochemical parameters of the mobile phase along the column on the retention time in gradient liquid chromatography. Part A – temperature gradient	2021
9	T. Fornstedt; E. Glenne; K. Kaczmarski; M. Leśko; J. Samuelsson	Predictions of overloaded concentration profiles in supercritical fluid chromatography	2021
10	T. Fornstedt; K. Kaczmarski; M. Leśko; J. Samuelsson	Experimental and theoretical investigation of high- concentration elution bands in ion-pair chromatography	2021
11	D. Asberg; T. Fornstedt; K. Kaczmarski; M. Leśko; J. Samuelsson	Evaluating the advantages of higher heat conductivity in a recently developed type of core-shell diamond stationary phase particle in UHPLC	2020
12	M. Chutkowski; K. Kaczmarski	Note of solving Equilibrium Dispersive model with the Craig scheme for gradient chromatography case	2020
13	E. Chmiel-Szukiewicz; K. Kaczmarski; A. Szałek; M. Szukiewicz	Dead zone for hydrogenation of propylene reaction carried out on commercial catalyst pellets	2019