Course detail

Methods of Heat Transfer Solution

FSI-9PPTAcad. year: 2023/2024

The mechanisms of heat transfer typical for technical applications are discussed in the introductory part. Further heat transfer of solids is discussed: differential equation of heat transfer, analytical and advanced numerical methods for solving the equations. Lectures include characterization of temperature dependent material properties, boundary conditions necessary for the determination of the task. Two lectures are devoted to inverse thermal problems and their importance for refining thermal computations. The closing lecture is focused on typical technical applications requiring the determination of unsteady temperature and tension fields, summarizing the knowledge of the given chapters, mechanisms of heat transfer, numerical solution of the thermal tasks and inverse computations.

Language of instruction


Number of ECTS credits


Mode of study

Not applicable.

Entry knowledge

Student should understand basic physical principles on the level of subject studies at technical universities and should have basic knowledge of thermal processes again on the level typical for master study programs at technical universities.

Rules for evaluation and completion of the course

Students are initially informed about demanded knowledge in the studied subject. Teacher specify individual demands based on theme of doctoral study.


Student should understand the most frequent ways how to get boundary conditions for engineering applications. Preparation of thermal technical experiment and its evaluation is described. Student should be able to use mathematical modelling for thermal problems that uses data from real measurements.
Ability to solve thermal technical problems requiring knowledge of heat transfer, temperature fields and transient temperature processes.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

F. P. Incropera, D. P. DeWitt: Fundamentals of Heat and Mass Transfer. Wiley (EN)
S. V. Patankar: Numerical Heat Transfer and Fluid Flow. Hemisphere Publishing Corporation (EN)
M. Pohanka: Technical experiment based inverse tasks in mechanics. VUT v Brně (EN)
K. A. Woodbury: Inverse Engineering Handbook. CRC Press (EN)
M. Pohanka, P. Kotrbáček: Design of Cooling Units for Heat Treatment, Heat Treatment - Conventional and Novel Applications, s 1-20, InTech (EN)
V. Hřibová: Vývoj inverzní sub-doménové metody pro výpočet okrajových podmínek vedení tepla. VUT v Brně (CS)

Recommended reading

M. Jícha: Přenos tepla a látky. VUT v Brně

Classification of course in study plans

  • Programme D-IME-K Doctoral, 1. year of study, winter semester, recommended
  • Programme D-IME-P Doctoral, 1. year of study, winter semester, recommended

Type of course unit



20 hours, optionally

Teacher / Lecturer


1. Mechanisms of heat transfer
2. Thermal conduction
3. Equation of heat transfer
4. Numerical methods for solving heat conduction tasks
5. Material characteristics for thermal models
6. Inverse heat conduction problems
7. Technical applications