Course detail

Heat Transfer and Fluid Flow Simulations

FSI-ITMAcad. year: 2025/2026

The course consists of with theoretical and practical parts. The following topics are dealt with in the theoretical part: Fundamentals of numerical modelling. Heat conduction in one- and two-dimensional coordinate systems. Control-volume discretisation method. Source linearisation, boundary conditions, solution of algebraic equations systems (TDMA algorithm). Computation schemes for unsteady conduction. Equations of viscous laminar flow, general transport equation. Discretisation of convection-diffusion problems. Pressure-velocity field solution algorithm. The following topics are dealt with in the practical part: CFD-code Star-CD practice (steady 2-D flow with heat transfer, natural convection, unsteady problems).

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Jaroslav Katolický, Ph.D.

Department

Energy Institute (EÚ)

Entry knowledge

Theoretical basis of heat transfer, thermomechanics and fluid mechanics.

Rules for evaluation and completion of the course

The graded course-unit credit awarding is based on the results of the semester project.
Attendance at seminars is required. Absence from seminars can be compensated by attending seminars with other group of students or for via a make-up project.

Aims

The course objective is to provide student with principles of computational modelling of fluid flow and heat transfer, using both theoretical and practical approaches.
Students will acquire the theoretical basis of computational modelling of fluid flow and heat transfer (discretization methods, transient solution, convective-diffusion problems, algorithms). In the practical part they will experience work with CFD codes (set up of models, discretization of solution domain, boundary conditions, management of calculations, postprocessing.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

H.K.Verseeg, W.Malalasekera: An introduction to computational fluid dynamics. The finite volume method
S. V. Patankar: Computation of Conduction and Duct Flow Heat Transfer, , 0
S. V. Patankar: Numerical Heat Transfer and Fluid Flow, , 0

Recommended reading

M. Jícha: Počítačové modelování úloh vedení tepla a proudění, , 0

Classification of course in study plans

  • Programme N-ETI-P Master's

    specialization TEP , 1 year of study, summer semester, compulsory

  • Programme N-IMB-P Master's

    specialization IME , 2 year of study, summer semester, compulsory-optional
    specialization BIO , 2 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Jaroslav Katolický, Ph.D.

Syllabus

1. Contents and objectives of numerical modelling
2. Overview of numerical methods. Finite Difference Method
3. Finite Volume Method, Apply the FVM to the 1D diffusion equation
4. Apply the FVM to the 2D diffusion equation. Discretization of governing equations.
5. Source term linearization.
6. Discretization of boundary conditions.
7. Solution of the system of discretization equations. Tri-Diagonal Matrix Algorithm (TDMA)
8. Relaxation technique, Correction technique
9. Solution of the unsteady problems, Explicit, Implicit and Crank Nicholson schemes
10.Convection-Diffusion equation
11.Discretization of the convection-diffusion equation
12.SIMPLE and SIMPLER algorithms

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Jaroslav Katolický, Ph.D.

Syllabus

1) To make the acquaintance of UNIX and software Star-CD
2) Mesh generation
3) Techniques of a computational model generation
4) Determination of boundary condition and thermophysical properties
5) Analyzes of natural convection, post-processing
6) Working out of semester project