The program of lectures
1. Overview of mathematical models, numerical methods and programs for solving fluid systems dynamics. One-dimensional pipeline model with lumped parameters - segmented pipeline, program Matlab - Fluids.
2. One-dimensional pipeline model with continuously distributed parameters - quasi-stationary velocity profile, unsteady velocity profile.
3. Method of characteristics and Laplace transform method for solving pipeline with continuously distributed parameters. Software Flowmaster, Circuit and F-achar.
4. Modulus of elasticity of hydraulic lines: calculation equations, the effect of fluid compressibility, pipe walls, amount of air bubbles. Bulk modulus for liquid and gas mixture. Experimental determination of liquid bulk modulus and hose modulus of elasticity.
5. Methods for determination of air content in the liquid. The speed of sound in the hydraulic line. Evaluation of wave runtime. Industrial tomograph.
6. Eigenfrequency of hydraulic system with a long pipeline. Influence of line elasticity module, line length, boundary conditions and liquid viscosity on dynamics. Pulsating flow.
7. Experimental evaluation of the frequency and transient response of long pipeline. Method of measurement and evaluation variables, the frequency spectrum of the measured signal.
8. Simulation of transient and frequency responses of the hydraulic system with a long pipeline in the software Fluids. Modeling of hydraulic systems with proportional directional control valves and hydraulic cylinders with a mass load.
9. Influence of accumulator in the pipeline during pulsating flow. Comparison of numerical models and software for modeling unsteady fluid flow in a long pipeline.
Program of exercises and seminars
1. Hydraulic system for measurement of transient and frequency response of a long pipeline. Structure, control of the proportional directional control valve in the software Matlab. Used sensors, measuring device. Project assignment Measurement and numerical simulation of frequency responses of the hydraulic system with a long pipeline.
2. Transient responses measurements of hydraulic shock in a long pipeline. Frequency response measurement in the long pipeline with throttle valve at its end.
3. Evaluation of measured dynamic properties of a long pipeline. Numerical modeling of the hydraulic system with a long pipeline in software Matlab Fluids. Segmented pipeline model, proportional directional control valve and throttle valve.
4. Numerical modeling of the hydraulic system with a long pipeline in software Matlab Fluids. Numerical simulation of the dynamic properties of hydraulic system with a long pipeline in software Matlab Fluids - comparison of simulated time dependencies of pressure with an experiment.
5. Simulation of the influence of individual parameters (pipeline length, viscosity, amount of air bubbles) on dynamics of hydraulic system – time dependencies of pressure for the simulated hydraulic system. Project assignment Measurement and numerical simulation of long pipeline and hydraulic cylinder with mass load.
6. Hydraulic system with proportional directional control valve and hydraulic cylinder. Structure of hydraulic system, measuring device, sensors. Measurement of time dependencies of pressure and position of a hydraulic cylinder.
7. Numerical modeling of hydraulic system with a hydraulic cylinder and proportional directional control valve.
8. Numerical modeling of hydraulic system with a hydraulic cylinder and proportional directional control valve. Comparison of simulated time dependencies of position and pressure with experiment. Influence of piston diameter and mass load on time responses of pressure and position.
9. Numerical modeling of hydraulic system with a hydraulic cylinder and proportional directional control valve. Credit.
1. Overview of mathematical models, numerical methods and programs for solving fluid systems dynamics. One-dimensional pipeline model with lumped parameters - segmented pipeline, program Matlab - Fluids.
2. One-dimensional pipeline model with continuously distributed parameters - quasi-stationary velocity profile, unsteady velocity profile.
3. Method of characteristics and Laplace transform method for solving pipeline with continuously distributed parameters. Software Flowmaster, Circuit and F-achar.
4. Modulus of elasticity of hydraulic lines: calculation equations, the effect of fluid compressibility, pipe walls, amount of air bubbles. Bulk modulus for liquid and gas mixture. Experimental determination of liquid bulk modulus and hose modulus of elasticity.
5. Methods for determination of air content in the liquid. The speed of sound in the hydraulic line. Evaluation of wave runtime. Industrial tomograph.
6. Eigenfrequency of hydraulic system with a long pipeline. Influence of line elasticity module, line length, boundary conditions and liquid viscosity on dynamics. Pulsating flow.
7. Experimental evaluation of the frequency and transient response of long pipeline. Method of measurement and evaluation variables, the frequency spectrum of the measured signal.
8. Simulation of transient and frequency responses of the hydraulic system with a long pipeline in the software Fluids. Modeling of hydraulic systems with proportional directional control valves and hydraulic cylinders with a mass load.
9. Influence of accumulator in the pipeline during pulsating flow. Comparison of numerical models and software for modeling unsteady fluid flow in a long pipeline.
Program of exercises and seminars
1. Hydraulic system for measurement of transient and frequency response of a long pipeline. Structure, control of the proportional directional control valve in the software Matlab. Used sensors, measuring device. Project assignment Measurement and numerical simulation of frequency responses of the hydraulic system with a long pipeline.
2. Transient responses measurements of hydraulic shock in a long pipeline. Frequency response measurement in the long pipeline with throttle valve at its end.
3. Evaluation of measured dynamic properties of a long pipeline. Numerical modeling of the hydraulic system with a long pipeline in software Matlab Fluids. Segmented pipeline model, proportional directional control valve and throttle valve.
4. Numerical modeling of the hydraulic system with a long pipeline in software Matlab Fluids. Numerical simulation of the dynamic properties of hydraulic system with a long pipeline in software Matlab Fluids - comparison of simulated time dependencies of pressure with an experiment.
5. Simulation of the influence of individual parameters (pipeline length, viscosity, amount of air bubbles) on dynamics of hydraulic system – time dependencies of pressure for the simulated hydraulic system. Project assignment Measurement and numerical simulation of long pipeline and hydraulic cylinder with mass load.
6. Hydraulic system with proportional directional control valve and hydraulic cylinder. Structure of hydraulic system, measuring device, sensors. Measurement of time dependencies of pressure and position of a hydraulic cylinder.
7. Numerical modeling of hydraulic system with a hydraulic cylinder and proportional directional control valve.
8. Numerical modeling of hydraulic system with a hydraulic cylinder and proportional directional control valve. Comparison of simulated time dependencies of position and pressure with experiment. Influence of piston diameter and mass load on time responses of pressure and position.
9. Numerical modeling of hydraulic system with a hydraulic cylinder and proportional directional control valve. Credit.