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Course detail
FSI-LFIAcad. year: 2024/2025
The purpose of the Fluid Engineering subject is to inform about the use of fluid properties and their flow in various industrial technologies. The starting point are the basic differential equations of motion, and based on their analysis, various principles of hydraulic and pneumatic elements, machines and mechanisms are explained.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Basics of Hydrostatics, Hydrodynamics, Thermomechanics, partial differential equations calculus, vector and matrix calculus, integration
Rules for evaluation and completion of the course
Credit and Examination (written exam - without practical credits not possible to appoach), ECTS evaluation
Seminars and written tasks on the excercises
Aims
Extend the knowledge gained from the basic Hydromechanics course. To learn how to work with different notations of differential equations describing the flow of fluids and their use in solving appropriately chosen problems. Connecting the mathematical description with the physical nature of the phenomena connected with the flow of fluids. Obtaining a theoretical basis for computational flow modeling.
Study aids
E-learning:
- pdf of lecture presentations
- supporting texts for lectures and exercises
- solved typical examples
References:
White, F. M.: Fluid Mechanics. McGraw-Hill, New York, NY, 2011, 7th edition, ISBN 978-0-07-352934-9.
Prerequisites and corequisites
Basic literature
Recommended reading
Elearning
Classification of course in study plans
specialization TEP , 1 year of study, winter semester, compulsoryspecialization ENI , 1 year of study, winter semester, compulsoryspecialization FLI , 1 year of study, winter semester, compulsory
specialization CZS , 1 year of study, winter semester, elective
Lecture
Teacher / Lecturer
Syllabus
1. Overview repetition of physical laws related to fluid mechanics, overview of practical applications, mathematical introduction
2. Description of the continuum, movement of the continuum. Euler's and Lagrange's concept of continuum. Parametric curve/surface entry.
3. Bezier curve/surface. Law of conservation of mass. The speed of sound.
4. The force acting on a solid surface and a solid particle surrounded by a liquid. Direct/indirect method of force calculation.
5. Interaction of the body and the liquid examples
6. Cavitation.
7. Bernoulli's equation. Additional effects on the body from the liquid
8. Disc/centrifugal pump principle. Principle of plain bearing. Hydraulic ram.
9. Similarity numbers. Pi-theorem.
10. Pressure and flow wave propagation.
11. Self-excited oscillations.
12. Forced oscillations.
13. Lecture by an external expert. Repetition.
Exercise
1. Matrix/vector calculus. Einstein's summation symbolism.
2. Einstein's summation symbology - conversions from/to vector notation.
3. Parametric entry of the curve/surface. Bezier curve/surface.
4. The force acting on a rigid body - the motionless bucket of the Pelton turbine. Archimedes' law for a partially submerged body.
5. The force acting on the moving body - the moving bucket of the Pelton turbine. The force acting on the rotating channel of the impeller.
6. Written test.
7. Segner's wheel - force acting on the rotating channel, calculation of discharge velocity. Additional weight of the pin in the case.
8. Ejector. U-tube, fluid motion, force effects on the tube wall.
9. Derivation of similarity numbers from the definition of power. Dependence of flow, torque and power on revolutions, change of pump characteristics.
10. Determination of the flow rate from the hydraulic ram, model of the gas accumulator.
11. Eigenvalues, eigenvalues of a matrix. Oscillation of the balancing chamber
12. Pulsations forced by the pump at the shut-off point. Stable/unstable characteristics of the pump.
13. Thermal wave oscillation. Remedial written test.