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Applied Fluid Mechanics

Type of study Follow-up Master
Language of instruction Czech
Code 338-0538/02
Abbreviation AMT-FBI
Course title Applied Fluid Mechanics
Credits 4
Coordinating department Department of Hydromechanics and Hydraulic Equipment
Course coordinator Ing. Jana Jablonská, Ph.D.

Osnova předmětu

Lectures
1. Physical properties of liquids and their measurement (density, viscosity of liquids), to dependence on temperature and pressure. State variables, state equation.
2. Momentum of a water jet - force effects of fluid on surfaces and bodies, Archimedes' law, theorem on change of momentum, application of theorem on change of momentum - force effects of flowing fluid on general surfaces and bodies, pressure forces on the plate caused by the flow of liquid from the nozzle - examples, presentation of the experiment.
3. Flow of liquid from a container, parabolic theory of water jet, mathematical model of fluid flow, transfer of mass, momentum, boundary conditions, methods of mathematical modeling of turbulent flow,
4. Static characteristics of hydraulic systems, simple pipelines, resistance to movement, frictional resistance, local resistance, pressure drop and static characteristics of pipelines, measurement of pipeline characteristics. Elements in Matlab-Simulink.
5. Pressure drop - Matlab-Simulink, application of Bernoulli's equation - pressure line
6. Calculation of the static characteristics of a branched or circuited network, numerical solution - Matlab-Simulink.
7. Pumps, basic parameters, pumps in Matlab-Simulink.
8. Serial, parallel, circuit pumps. Application in Matlab Simulink
9. Circuit solution with pumps, centrifugal pump in SimHydraulics, 1D and 2D characteristics.
10. Dynamic flow characteristics, steady flow, resistance to movement, resistance to acceleration, resistance to deformation and hydraulic capacity, marking of hydraulic resistances.
11. Solution of hydraulic shock, T - link, segmented pipeline, distributor, distributor control, numerical solution - Matlab-Simulink, speed of sound in pipeline.
12. Simulation of pressure drop and static characteristics in the Matlab-Simulink program, calculation of pressure drop, calculation of static characteristics.
13. Solving the dynamics of a complex hydraulic circuit using Matlab-Simulink.
14. Consultation

Exercises
1. Physical properties of liquids, equation of state.
2. Pressure forces on surfaces, momentum.
3. Bernoulli's equation for an ideal liquid, outflow of liquid from a container, parabolic theory of a water jet.
4. Bernoulli's equation for a real liquid, calculation of losses, Re numbers, friction coefficients.
5. Introduction to Matlab-Simulink. Static characteristics of one pipeline – program 1 (measurement). Calculation of pressure drop on 1 pipe.
6. Series and parallel pipelines – program 1, branch and circuit networks, examples in the Matlab-Simulink program, definition of local resistances.
7. Calculation of pumps – suction height of the pump, input power, power, specific energy of the pump, operating point of the system. Measurement and evaluation of measurement of pump characteristics - program 2.
8. Measurement and evaluation of serial and parallel arrangement of pumps in Excel - program 2. Modeling of the characteristics of one pump in Matlab-Simulink, its input options - 1D characteristic, polynomial. Modeling of series and parallel pipelines in Matlab-Simulink and comparison with Excel.
9. Calculation of parameters for hydraulic shock, measurement of hydraulic shock - program 3. Evaluation of data from measurements in Excel - evaluation of hydraulic shock - determination of the modulus of elasticity from measurements, steady state modeling for hydraulic shock in the Matlab-Simulink program.
10. Modeling of the hydraulic shock in the Matlab-Simulink program for theoretical and measured values - modeling of the hydraulic shock for a steady state, determining the effect of the equivalent length, the valve discharge coefficient and the amount of air on the hydraulic shock.
11. Entering 1D characteristics of pumps in Matlab-Simulink. At steady state determination of constants – valve discharge coefficient, equivalent pipe length. Entering the characteristics of pumps using a polynomial. Comparison of the pump characteristic with the characteristic from the manufacturer, affine relations for the basic parameters of the pump.
12. Solving the dynamics of a complex hydraulic circuit using Matlab-Simulink.
13. Consultation on programs.
14. Consultation.

Povinná literatura

MILLER, D.S. Internal Flow Systems. BHRA (Information Servis). 1990. ISBN 0-947711-77-5 .

Doporučená literatura

MATLAB User's Guide. The Mathworks, Inc., USA, www.mathworks.com