The program of lectures
1 Overview of mathematical models, numerical methods and programs to solve the dynamics of fluid systems. Dimensional pipe model with lumped parameters - segmented pipeline, the program Matlab - SimHydraulics.
2 One-dimensional line model with continuously distributed parameters - quasistationary velocity profile, unsteady flow profile.
3 Method of characteristics and the method of Laplace transformation for solving of pipe with continuously distributed parameters. Flowmaster program, program circuit, program F-achar.
4 Modulus of elasticity for hydraulic lines: calculation relations, the effect of compressibility of fluid, pipe wall, the amount of air bubbles. Modulus of elasticity for mixture of liquid and gas. Experimental determination of the modulus of elasticity for fluid and hose.
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 Natural frequency of hydraulic system with long pipeline. The influence line modulus of elasticity, line length, boundary conditions and viscosity of the fluid on dynamics. Pulsating flow.
7 Experimental evaluation of the frequency and transient response of long pipe. Method of measurement and evaluation values, the frequency spectrum of the measured signal.
8 Simulation of transient and frequency characteristics of the circuit with a long pipe in the program SimHydraulics. Modeling of circuits with proportional distributors and linear hydraulic motors with mass load.
9 Influence of the accumulator in the pipe at pulsating flow. Comparison of numerical models and programs for modeling unsteady fluid flow in a long pipe.
Program of exercises and seminars + individual students' work
1 Circuit for measuring the transient and frequency characteristics of the long pipeline. Structure, control of the proportional distributor in the medium Matlab. Used sensors, measuring instrument. Task of project Measurement and numerical simulation of frequency characteristics of the circuit with a long pipeline.
2 Measurement of transient response - hydraulic shock in the circuit with a long pipeline. Measuring the frequency response in a long pipeline with throttle valve at its end.
3 Evaluation of measured dynamic properties of long line. Modelling circuit with a long pipeline in medium Matlab SimHydraulics. Model of segmented pipeline, elements proportional distributor and throttle valve.
4 Modeling a circuit with a long pipeline in medium Matlab SimHydraulics. Numerical simulation of the dynamic properties of the circuit with a long pipeline in Matlab SimHydraulics - comparison of calculated pressure time profiles with experiment.
5 Simulation of influence of individual parameters (pipeline length, viscosity, amount of air bubbles) on the dynamics of the circuit – time profiles of pressure for simulated circuit. Task of project Measurement and numerical simulation of the circuit with a long pipeline and hydraulic motor with mass load.
6 Circuit with proportional distributor and linear hydraulic motor. Structure of the circuit, the measuring instrument, sensors. Measurement of pressure time profiles on the cylinder and position time profile.
7 Numerical modeling of circuit with linear hydraulic motor and proportional distributor.
8 Numerical modeling of circuit with linear hydraulic motor and proportional distributor. Comparison of simulated position and pressure profiles in time with the experiment. Effect of piston diameter size and weight on the response of pressure and position.
9 Numerical modeling of circuit with linear hydraulic motor and proportional distributor. Credit.
List of questions to test
1st The mathematical model of the segmented pipeline with lumped parameters, structure and definition of R, H, D resistances.
2nd One-dimensional model of pipeline with continuously distributed parameters - quasistationary velocity profile. The equation of motion and the continuity equation.
3rd One-dimensional model of pipeline with continuously distributed parameters – nonstationary speed profile.
4th Method of characteristics for solving of pipeline with continuously distributed parameters.
5th Laplace transform method for solving of pipeline with continuously distributed parameters.
6th Modulus of elasticity of hydraulic line: calculation relations, the influence of fluid compressibility, elastic pipeline and the amount of air bubbles. Modulus of elasticity for mixture of liquid and gas.
7th Experimental determination of the modulus of elasticity for fluid and hose including the influence of air content.
8th Determination methods of the air amount in the liquid.
9th Experimental evaluation of hydraulic shock in the pipeline. Structure of circuit, measurement methodology, control of valves, sensors, measuring instrument.
10th Experimental determination of the speed of sound in the line.
11th The natural frequency of line - influence of pipeline length and boundary conditions.
12th Dynamic properties of hydraulic line - the influence of fluid modulus of elasticity, elasticity of line and the amount of air in the liquid. Effect of viscosity on the dynamics of the circuit with a long pipeline.
13th Circuits with hydraulic motor, mass load, long hydraulic line and proportional distributor. Influence of line parameters, dimensions of hydraulic motor and size of mass load.
14th Pulsating flow in line, pulsating number, the phase velocity of wave transmission. Amplitude and phase frequency characteristics of pipeline.
15th Experimental determination of the frequency characteristics of the pipeline pressure. Structure of circuit, measurement methodology, control of proportional distributor, sensors, measuring instrument.
16th The influence of the accumulator in the pipeline at the pulsating flow.
17th Unsteady flow simulation with software Flowmaster. Options, mathematical model, numerical method, entering the computational network.
18th Unsteady flow simulation with software Matlab SimHydraulics. Options, mathematical model, numerical method, entering the computational network – definition of throttle valve and proportional distributor.
19th Simulation of pipeline frequency characteristics with software Hydroobvod and software F-achar. Options, mathematical model, numerical method, entering the computational network.
20th Comparison of softwares Flowmaster, Matlab - SimHydraulics, Hydroobvod, F-achar for modeling of unsteady oil flow in a long pipeline.
1 Overview of mathematical models, numerical methods and programs to solve the dynamics of fluid systems. Dimensional pipe model with lumped parameters - segmented pipeline, the program Matlab - SimHydraulics.
2 One-dimensional line model with continuously distributed parameters - quasistationary velocity profile, unsteady flow profile.
3 Method of characteristics and the method of Laplace transformation for solving of pipe with continuously distributed parameters. Flowmaster program, program circuit, program F-achar.
4 Modulus of elasticity for hydraulic lines: calculation relations, the effect of compressibility of fluid, pipe wall, the amount of air bubbles. Modulus of elasticity for mixture of liquid and gas. Experimental determination of the modulus of elasticity for fluid and hose.
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 Natural frequency of hydraulic system with long pipeline. The influence line modulus of elasticity, line length, boundary conditions and viscosity of the fluid on dynamics. Pulsating flow.
7 Experimental evaluation of the frequency and transient response of long pipe. Method of measurement and evaluation values, the frequency spectrum of the measured signal.
8 Simulation of transient and frequency characteristics of the circuit with a long pipe in the program SimHydraulics. Modeling of circuits with proportional distributors and linear hydraulic motors with mass load.
9 Influence of the accumulator in the pipe at pulsating flow. Comparison of numerical models and programs for modeling unsteady fluid flow in a long pipe.
Program of exercises and seminars + individual students' work
1 Circuit for measuring the transient and frequency characteristics of the long pipeline. Structure, control of the proportional distributor in the medium Matlab. Used sensors, measuring instrument. Task of project Measurement and numerical simulation of frequency characteristics of the circuit with a long pipeline.
2 Measurement of transient response - hydraulic shock in the circuit with a long pipeline. Measuring the frequency response in a long pipeline with throttle valve at its end.
3 Evaluation of measured dynamic properties of long line. Modelling circuit with a long pipeline in medium Matlab SimHydraulics. Model of segmented pipeline, elements proportional distributor and throttle valve.
4 Modeling a circuit with a long pipeline in medium Matlab SimHydraulics. Numerical simulation of the dynamic properties of the circuit with a long pipeline in Matlab SimHydraulics - comparison of calculated pressure time profiles with experiment.
5 Simulation of influence of individual parameters (pipeline length, viscosity, amount of air bubbles) on the dynamics of the circuit – time profiles of pressure for simulated circuit. Task of project Measurement and numerical simulation of the circuit with a long pipeline and hydraulic motor with mass load.
6 Circuit with proportional distributor and linear hydraulic motor. Structure of the circuit, the measuring instrument, sensors. Measurement of pressure time profiles on the cylinder and position time profile.
7 Numerical modeling of circuit with linear hydraulic motor and proportional distributor.
8 Numerical modeling of circuit with linear hydraulic motor and proportional distributor. Comparison of simulated position and pressure profiles in time with the experiment. Effect of piston diameter size and weight on the response of pressure and position.
9 Numerical modeling of circuit with linear hydraulic motor and proportional distributor. Credit.
List of questions to test
1st The mathematical model of the segmented pipeline with lumped parameters, structure and definition of R, H, D resistances.
2nd One-dimensional model of pipeline with continuously distributed parameters - quasistationary velocity profile. The equation of motion and the continuity equation.
3rd One-dimensional model of pipeline with continuously distributed parameters – nonstationary speed profile.
4th Method of characteristics for solving of pipeline with continuously distributed parameters.
5th Laplace transform method for solving of pipeline with continuously distributed parameters.
6th Modulus of elasticity of hydraulic line: calculation relations, the influence of fluid compressibility, elastic pipeline and the amount of air bubbles. Modulus of elasticity for mixture of liquid and gas.
7th Experimental determination of the modulus of elasticity for fluid and hose including the influence of air content.
8th Determination methods of the air amount in the liquid.
9th Experimental evaluation of hydraulic shock in the pipeline. Structure of circuit, measurement methodology, control of valves, sensors, measuring instrument.
10th Experimental determination of the speed of sound in the line.
11th The natural frequency of line - influence of pipeline length and boundary conditions.
12th Dynamic properties of hydraulic line - the influence of fluid modulus of elasticity, elasticity of line and the amount of air in the liquid. Effect of viscosity on the dynamics of the circuit with a long pipeline.
13th Circuits with hydraulic motor, mass load, long hydraulic line and proportional distributor. Influence of line parameters, dimensions of hydraulic motor and size of mass load.
14th Pulsating flow in line, pulsating number, the phase velocity of wave transmission. Amplitude and phase frequency characteristics of pipeline.
15th Experimental determination of the frequency characteristics of the pipeline pressure. Structure of circuit, measurement methodology, control of proportional distributor, sensors, measuring instrument.
16th The influence of the accumulator in the pipeline at the pulsating flow.
17th Unsteady flow simulation with software Flowmaster. Options, mathematical model, numerical method, entering the computational network.
18th Unsteady flow simulation with software Matlab SimHydraulics. Options, mathematical model, numerical method, entering the computational network – definition of throttle valve and proportional distributor.
19th Simulation of pipeline frequency characteristics with software Hydroobvod and software F-achar. Options, mathematical model, numerical method, entering the computational network.
20th Comparison of softwares Flowmaster, Matlab - SimHydraulics, Hydroobvod, F-achar for modeling of unsteady oil flow in a long pipeline.