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F7AMBMTB - Fluid Mechanics in Biomedicine

Code Completion Credits Range Language
F7AMBMTB Z,ZK 5 2P+1C+1L English
Karel Roubík (guarantor), Václav Ort
Matouš Brunát, Václav Ort, Šimon Walzel
Department of Biomedical Technology

The course deals with the following topics - modelling and measurement of fluid flow in respiratory care and cardiovascular system, creation of models of respiratory and cardiovascular system, application of fluid mechanics principles in research and development as well as in clinical practice.


Credit requirements:

Attendance is mandatory, absences must be properly excused and made up. A maximum of two unexcused and unexcused absences are allowed.

Exam grading:

The exam will be administered in the form of a test with questions for students to answer. Some questions may carry more weight in the assessment than others, for example those involving a numerical problem or requiring a complex approach to solving. The assessment will be based on the percentage of passes exactly according to the ECTS grading scale in force.

Syllabus of lectures:

1. Introduction to fluid mechanics, fluid statics.

2. Classification, visualization and equations of fluid flow I.

3. Classification, visualization and equations of fluid flow II.

4. Fluid flow in a circular tube I.

5. Fluid flow in a circular tube II.

6. Electroacoustic and electromechanical analogies.

7. Acoustic waveguides, acoustic systems with concentrated parameters and their models.

8. Cardiac cycle and mechanics, ventricular output.

9. Newtonian flow and wave phenomena in the vascular system.

10. Non-Newtonian flow in the vascular system.

11. Measurement of pressure, measurement of volume flow.

12. Benveniste's principle, Venturi effect, Coanda effect, Fluidic elements.

Syllabus of tutorials:

1. Experimental measurement of the pressure differential in a circular tube.

2. Basics of COMSOL Multiphysics.

3. Stationary and time-dependent simulations of incompressible laminar flow in COMSOL Multiphysics.

4. Stationary simulation of incompressible turbulent flow in COMSOL Multiphysics.

5. Multiphysics modelling and use of the Pipe Flow module in COMSOL Multiphysics.

6. Application of electroacoustic analogies in functional investigation of the respiratory system.

7. Identification of pneumatic systems using electroacoustic analogy.

8. Basic fluid flow analysis.

9. Development of a nonlinear mathematical model of the cardiovascular system.

10. Measurement of pressure and volume flow of gas by obstructive flowmeters, comparison of properties of flowmeters based on different methods of volume flow measurement.

11. Penetration of aerosol into the respiratory system.

12. Application of the principles of fluid mechanics in practice.

Study Objective:
Study materials:


1.TEZDUYAR, Tayfun E., ed. Frontiers in Computational Fluid-Structure Interaction and Flow Simulation: Research from Lead Investigators under Forty - 2018 [online]. Cham: Springer International Publishing, 2018. Modeling and Simulation in Science, Engineering and Technology [cit. 2018-12-28]. Dostupné z: <>. ISBN 9783319964690.

2.ÇENGEL, Yunus A. a John M. CIMBALA. Fluid mechanics: fundamentals and applications. 3rd ed. in SI units. Boston: McGraw-Hill, ©2014. xxiv, 986 s. ISBN 978-1-259-01122-1.

3.NICHOLS, Wilmer W., Michael F. O'ROURKE a Charalambos VLACHOPOULOS. McDonald's blood flow in arteries: theoretical, experimental and clinical principles. 6th ed. London: Hodder Arnold, c2011. ISBN 978-0-340-98501-4.


-ESCUDIER, M. P. Introduction to engineering fluid mechanics. First edition. Oxford, United Kingdom: Oxford University Press, 2017. xxx, 577 stran. ISBN 978-0-19-871988-5.

The course is a part of the following study plans:

Exercises - link: