Applied Fluid Mechanics

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.
5. Pressure drop, application of Bernoulli's equation - pressure line
6. Calculation of the static characteristics of a branched or circuited network.
7. Pumps, basic parameters.
8. Serial, parallel, circuit pumps. Application.
9. Circuit solution with pumps.
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-section, speed of sound in pipes.
12. Simulation of pressure drop and static characteristics in Matlab-Simulink, calculation of pressure drop, calculation of static characteristics.
13. Solution of dynamics of complex hydraulic circuit using Matlab-Simulink.

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. Static characteristics of one pipeline – program 1 (measurement). Calculation of pressure drop on 1 pipeline.
6. Series and parallel pipelines – program 1, branched and looped networks, definition of local resistances.
7. Measurements in the laboratory.
8. Calculation of pumps – pump suction head, power input, output, specific energy of the pump, system operating point. Evaluation of pump characteristics measurements – program 2.
9. Evaluation of series and parallel arrangement of pumps in Excel – program 2. Examples and applications of series and parallel pipelines.
10. Comparison of pump characteristics with the manufacturer’s characteristics, affine relations for basic pump parameters.
11. Calculation of parameters for water hammer, measurement of water hammer – program 3. Evaluation of measurement data in Excel – evaluation of water hammer – determination of the elastic modulus from measurements, evaluation of the steady state for water hammer.
12. Determination of equivalent length, valve flow coefficient. Consultation on programs.
13. Modeling the characteristics of one pump in Matlab-Simulink. Consultation.