# 635-0401/01 – Heat Transfer and Fluid Mechanics (STP)

 Gurantor department Department of Thermal Engineering Credits 8 Subject guarantor prof. Ing. Miroslav Příhoda, CSc. Subject version guarantor prof. Ing. Miroslav Příhoda, CSc. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester winter Study language Czech Year of introduction 2004/2005 Year of cancellation Intended for the faculties FMT Intended for study types Bachelor
Instruction secured by
BUR19 Ing. Jiří Burda
MAH46 doc. Ing. Adéla Macháčková, Ph.D.
MAC589 Ing. Mario Machů, Ph.D.
MER128 Ing. Lucie Mervová
MON036 Ing. Sylva Moniaková
PR150 prof. Ing. Miroslav Příhoda, CSc.
PYS30 prof. Dr. Ing. René Pyszko
VEL37 doc. Ing. Marek Velička, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Combined Credit and Examination 24+0

### Subject aims expressed by acquired skills and competences

- to demonstrate the feature of criteria of similarity, - to solve the pressure losses during the flow of fluids, - to describe the fundamental principle in hydromechanics, - to solve simple examples focused on heat transfer (conduction, convection, radiation).

### Teaching methods

Lectures
Seminars
Individual consultations
Tutorials

### Summary

Theory of similarity, criterion equations. Flow: statics and dynamics of fluids, flow of real fluids, pressure losses, flow of gases in furnace systems. Conduction heat transfer: analytical and numerical solution of steady and unsteady problems. Convection heat transfer: natural, forced, heat transfer between fluid and solid body. Radiation heat transfer: general laws, radiation properties of bodies, exchange of radiation energy between solid bodies, radiation of gases, vapours and their mixtures.

### Compulsory literature:

KREITH., F., BLACK, W. Z. Basic heat transfer. New York : Harper and Row, 1980. KRAUSE, E. Fluid Mechanics. Springer Verlag. Berlin, Heidelberg, New York, 2005. 355 p. ISBN 3-540-22981-7.

### Recommended literature:

LIENHARD IV, J. H., LIENHARD V, J. H. A Heat Transfer Textbook, 4th edition. http://web.mit.edu/lienhard/www/ahtt.html

### Way of continuous check of knowledge in the course of semester

Two points assessment of check exams.

### E-learning

http://katedry.fmmi.vsb.cz/635/; www.person.vsb.cz; There is a continuous adding of e-learning elements into teaching

Other requirements for students are not

### Prerequisities

Subject codeAbbreviationTitleRequirement
516-0611 FYI Physics I Recommended
516-0612 FYII Physics II Recommended
617-0402 CH-I. Chemistry I. Recommended
617-0403 CH-II. Chemistry II. Recommended
714-0665 M I Mathematics I Recommended
714-0666 M II Mathematics II Recommended
714-0667 M III Mathematics III Recommended

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

Lecture: Theory of similarity. Similarity. Similarity constant, an indicator of similarity, the similarity criterion. Criterion equations. Analysis of basic equations. Flow. Basic terms. Physical properties of fluids. The basic types of pressure - geometric, static, dynamic and loss. Fluid Statics. Statics of one gas. Calculation of atmospheric pressure. Statics of two gases. Euler's equation of fluid statics. Differential equations for the pressure function. Fluid Dynamics. Flow of fluids - classification. General equation of continuity, the continuity equation for one-way flow. Euler's equation of motion, the substance's derivation. Equation Navier - Stokes. Bernoulli's equation. Types of real fluid flow. Reynolds criterion. Laminar flow in pipes. Velocity profile, Hagen-Poiseulle law. Turbulent flow. Boundary layer. Hydraulic losses - loss of pressure, height loss. Friction - Darcy-Weisbach relation. Types of roughness. Effect of roughness on hydraulic resistance. Friction coefficient at circular pipes - 5 areas. Friction coefficient at noncircular pipes. Local losses. Outflow of gas holes. Gas discharge at low speeds. Gas discharge at high speeds. Critical pressure, density, temperature, speed. Critical mass flow. Flow in high speed. Easy jet, Laval nozzle. Exhaust gas - stack height. Heat transfer - basic mechanisms. Heat conduction. Basic concepts. Fourier's first law. The thermal conductivity of gases, liquids, solids. Fourier heat equation. Conditions of uniformity. Steady-state heat conduction through plane wall - surface condition of the 1st, 2nd, 3rd kind. Multi-layer plane wall. Steady-state heat conduction through cylindrical wall - surface condition of the 1st, 2nd, 3rd kind. Multi-layer cylindrical wall. Multidirectional steady-state tasks: analytical solutions - a method of separation of variables, numerical solutions. Unsteady heat conduction - numerical solution. Heat convection. Fourier-Kirchhoff equation. Heat transfer between fluid and solid body surface. The actual values of the coefficient of heat transfer by convection. Mean coefficient of heat transfer by convection. Using similarity theory for solving convection heat transfer. Heat transfer by free and forced convection. Effect of fluid temperature change on heat convection. Heat radiation. Physical principles of radiation. Planck's law. Wien's displacement law. Stefan-Boltzmann law. Lambert's law. Radiation properties. Kirchhoff's law. Spectral radiation properties. Grey body. Radiation between the bodies. View factor (angular coefficient). Radiation between two parallel flat surfaces, the effect of shielding. Radiation between two curved surfaces. Radiation of gases and their mixtures. Tutorials: The basic thermodynamic parameters, physical properties of fluids. Basic laws of ideal gases, statics and dynamics of fluid. Calculation loss of pressure, loss of friction, local resistance and buoyancy. Outflow of gas holes at low and high speeds with a simple and Laval nozzles. Natural exhaust gas, calculate the basic parameters of the stack. Check exam. Heat conduction, Fourier's first law, plane and cylindrical wall. Heat convection, the basic criteria of similarity, free and forced convection. Heat radiation, heat exchange between the two flat surfaces, the effect of shading area, radiation of gases. Combined heat transfer. Check exam. Credit.

### Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester, validity until: 2011/2012 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 25 (25) 0
Project Project 25  0
Examination Examination 75 (75) 0
Written examination Written examination 10  0
Oral Oral examination 65  0
Mandatory attendence parzicipation:

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2015/2016 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2008/2009 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - FMMI - P - cs 2016/2017 Full-time Czech Optional FMT - Faculty of Materials Science and Technology stu. block
Subject block without study plan - FMMI - P 2014/2015 Full-time Czech Optional FMT - Faculty of Materials Science and Technology stu. block
FMMI 2013/2014 Full-time Czech Compulsory 601 - Study Office stu. block
FMMI 2012/2013 Full-time Czech Compulsory 601 - Study Office stu. block
FMMI_ECTS 2011/2012 Full-time Czech Compulsory 600 - Faculty of Materials Science and Technology - Dean's Office stu. block