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Course info
KKE / PTH
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Course description
Department/Unit / Abbreviation
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KKE
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PTH
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Heat and Mass Transfer
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
6
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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Czech, English
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Occ/max
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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12 / -
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0 / -
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1 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Summer semester
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Semester taught
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Summer semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech, English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
Yes
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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KKE/TM2
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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Student will be aquanted with solution of simple conductive, convective and radiative heat transfer tasks by analytical or numerical calculation, and by experiment as well. He will understand the mathematical description principles of the more complex problems of flow and heat transfer, which form a core of commercial programmes. On the basis of that to operate them qualifiedly and verify truthfulness of the results.
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Requirements on student
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Credit: Successful going through 6 simple control tests and working out 2 semestrial reports on assigned technical problems.
Examination: oral - theory delivered by lectures
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Content
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Topics of lectures by weeks:
1st week: Thermal energy, heat, temperature. Basic relations and equations for laminar flow and convection: tensor of tension in fluid, state-, Navier-Stokes-, continuity equation and derivation of energy equation. Simplification of energy equation to Fourier-Kirchhof equation, temperature field, Biot-Fourier law and heat conductivity.
2nd week: Newton´s law for convective heat transfer. Equations describing turbulent flow and heat transfer working with fluctuations of velocity, temperature, pressure and density (Van Driest and Reynolds modifications). Prandtl´s model for turbulent shear stress and heat flux.
3rd week Geometric, time, physical and boundary conditions. Derivation of similarity criterions. Process of criterion equation preparation.
4th week: Heat conduction in a body of simple geometry at steady conditions. Thermal insulation. The thermal balances method of elementary volumes. Steady heat conduction in a thin metal bar and in a cylindrical cross rib.
5th week: Unsteady heat conduction solved by analytical methods: aperiodic and periodic cases. Unsteady temperature field solved numerically and graphically.
6th week: Convection. Velocity and temperature boundary layer. Definitions of substitute layers. Distribution of velocity and temperature in boundary layer (Pohlhausen method). Integral equation of temperature boundary layer.
7th week: Calculation of heat transfer coefficient on a plate by using integral equations for velocity and temperature boundary layer. Calculation of heat transfer at a high temperature gradient. Natural convection: derivation of appropriate similarity criterions and implementation of valid criterion equation for some frequent cases: vertical wall, horizontal cylinder and some gaps.
8th week: Forced convection in tubes and channels. Derivation of corresponding similarity criterions and presentation of criterion equations for channels, cross flown tubes and tube bundles. Problems of channels inlet parts. Heat transfer in boiling liquid and in condensing steam.
9th week: Heat exchangers including special ones (heat tube, vortex tube..). Diffusion of mass, Fick´s law, similarity of the heat convection equations and mass diffusion.
10th week: Heat radiation. Basic 4 principles: Planck´s-, Stefan-Boltzmann's-, Kirchhof´s- and Lambert´s law. Radiation between parallel plates and between walls, one of which surrounds the other. Radiation between generally orientated surfaces is solved as well. Emissivity of gases.
Topics of seminars by weeks
1st week: Steady temperature profile in a plate and a cylindrical wall with internal heat source and conductivity depending on temperature at different boundary conditions.
2nd week: 1st test (10 min.). Unsteady temperature field in a body solved by Fourier method.
3rd week: Numerical solution of 2D temperature field by net method and method of heat balances.
4th week: 2nd test. 2-D steady tasks solved by approximate method utilizing shape factor. Assignment of the 1st semester work. Solution of the laminar boundary layer.
5th week: 3rd test. Calculation of the turbulent boundary layer.
6th week: 4th test. Natural convection on a horizontal and vertical cylinder.
7th week: Heat transfer in the cross flown tube bundle. Thermal design of a horizontal steam condenser.
8th week: 5th test. Boiling liquid. Descending of condensate film on a vertical surface. Assignment of the 2nd semester work.
9th week: Mass transfer in a calm and in a flowing 2-phase medium
10th week: 6th test. Radiant heat exchange among surfaces of stiff bodies.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Graduate study programme term essay (40-50)
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40
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Preparation for formative assessments (2-20)
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12
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Contact hours
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65
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Preparation for an examination (30-60)
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40
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Total
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157
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
rozumět matematickým úkonům a řešením úloh na úrovni vysokoškolské matematiky pro strojní inženýry |
vysvětlit běžné jevy mechaniky tekutin a termomechaniky |
pochopit fyzikální popis stavu nebo procesu mechaniky tekutin daný algebraickou nebo diferenciální rovnicí |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
naprogramovat výpočet jednodušší fyzikální úlohy |
pracovat s některým z komerčních výpočtových či konstrukčních programů pro strojírenství nebo energetiku |
provést analytický výpočet jednodušší obyčejné diferenciální rovnice nebo soustavy lineárních algebraických rovnic |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
odvodit a vysvětlit výchozí parciální diferenciální rovnice proudění a sdílení tepla |
řešit úlohy kondukce, konvekce a radiace vhodnými metodami |
specifikovat kriteria podobnosti a kriteriální rovnice v konvekci pro výpočet součinitele přestupu tepla |
rozumět problematice varu kapalin v nádobách a varných trubkách, vysvětlit krizi varu |
optimalizovat kondenzaci při různé orientaci chlazené plochy (vodorovné a svislé trubkové svazky) |
přenášet kriteriální rovnice konvekce na přenos hmotnosti při sublimaci a odpařování |
Skills - skills resulting from the course: |
vyřešit teplotní pole v pevném tělese numericky při různých okrajových podmínkách, a to metodou síťovou nebo tepelných bilancí |
analyticky vypočítat teploty a tepelné toky v jednoduchých pevných tělesech při stacionárních nebo nestacionárních okrajových podmínkách |
umět pracovat s kriteriálními rovnicemi pro stanovení součinitele přestupu tepla nebo přenos hmotnosti |
navrhnout různé typy výměníků tepla (regenerátory, rekuperátory, směšovací atd), určit jejich parametry, např. součinitel prostupu tepla, střední teplotní rozdíl, průtočné hmotnosti, výkon aj. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
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