# 338-0513/03 – Applied Fluid Mechanics (AplMT)

 Gurantor department Department of Hydromechanics and Hydraulic Equipment Credits 4 Subject guarantor prof. RNDr. Milada Kozubková, CSc. Subject version guarantor doc. Dr. Ing. Lumír Hružík Study level undergraduate or graduate Study language Czech Year of introduction 2013/2014 Year of cancellation Intended for the faculties FS Intended for study types Follow-up Master
Instruction secured by
HRU38 doc. Dr. Ing. Lumír Hružík
KOZ30 prof. RNDr. Milada Kozubková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 8+2

### Subject aims expressed by acquired skills and competences

The aim of the course is to acquaint students with the mathematical models, numerical methods and programs for the solution of unsteady flow in fluid systems. They will gain knowledge about the possibilities, advantages and limitations of using various mathematical models, numerical methods and programs, especially for circuits with long hydraulic circuits. Students gain experience in the field of experimental determination of dynamic properties of fluid systems. Will be evaluated transient and frequency response of long hydraulic lines. They will gain practical experience in numerical modeling of the dynamics of the hydraulic circuit with a long pipe in Matlab SimHydraulics.

### Teaching methods

Lectures
Tutorials
Experimental work in labs
Project work

### Summary

In the course of Applied Fluid Mechanics, students learn about mathematical models, numerical methods and programs for the solution of unsteady fluid flow. They will learn methods of experimental evaluation of dynamic properties of fluid systems. They will know the effects of various parameters on the dynamics of fluid systems. Will be evaluated transient and frequency response of the hydraulic lines.

### Compulsory literature:

[1] MATLAB User's Guide. The Mathworks, Inc., USA, www.mathworks.com [1] GOLDSTEIN, R. J. Fluid Mechanics Measurements. Washington : Hemisphere Publishing Corporation. 1983. 647 p. ISBN 0-89116-244-5.

### Recommended literature:

[1] MILLER, D. S. Internal Flow System, BHRA UK, 396 s., ISBN 0-947711-77-5 [2] EXNER, H. et al. Basic Principles and Components of Fluid Technology. Lohr am Main, Germany: Rexroth AG., 1991. 344 p. ISBN 3-8023-0266-4.

### E-learning

There are no other requirements for student.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

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.

### Conditions for subject completion

Full-time form (validity from: 2013/2014 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 35  18
Examination Examination 65  33
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2013/2014 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 35  18
Examination Examination 65  33
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner