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Damping of Pressure Pulsations in Elastic Pipes
Panko, Martin ; Pochylý, František (referee) ; Habán, Vladimír (advisor)
This diploma thesis deals with numerical simulation of pressure pulsations in elastic pipes. Continuity relation of fluid in elastic pipes, when calculating some damping in pipe material, is derived into practice. Rheological model of such a pipe corresponds to Voigt (Kelvin) model. For analysing dynamic effects in time periods are used numerical methods that deal with flow of compressible fluid: FTCS, Lax-Friedrichs and Lax-Wendroff method. The numerical results are confronted with the experiment. During the experiment simulation the method considers speed of sound in liquid like a function of pressure. This diploma thesis lays partial principles for finding elastic constants for describing dynamic characteristics of elastic pipes by measuring the pressure pulsations.
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Modelling of pressure pulsations in pipes
Hofírek, Michal ; Havlásek, Michal (referee) ; Himr, Daniel (advisor)
This diploma thesis deals with problem of water hammer in pipes affected by viscoelastic behavior of pipe material. Mathematical model uses pressure dependent speed of sound in water air mixture. For purpose of numerical solution the Method of Characteristics with independent time step is introduced. This method is compared with commonly used methods such as Method of Characteristics (MOC) and Lax Wendroff scheme. Derived model, solved with Method of Characteristics with independent time step, is verified with experimental simulation.
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Modelling of pressure pulsations in pipes
Hofírek, Michal ; Havlásek, Michal (referee) ; Himr, Daniel (advisor)
This diploma thesis deals with problem of water hammer in pipes affected by viscoelastic behavior of pipe material. Mathematical model uses pressure dependent speed of sound in water air mixture. For purpose of numerical solution the Method of Characteristics with independent time step is introduced. This method is compared with commonly used methods such as Method of Characteristics (MOC) and Lax Wendroff scheme. Derived model, solved with Method of Characteristics with independent time step, is verified with experimental simulation.
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Damping of Pressure Pulsations in Elastic Pipes
Panko, Martin ; Pochylý, František (referee) ; Habán, Vladimír (advisor)
This diploma thesis deals with numerical simulation of pressure pulsations in elastic pipes. Continuity relation of fluid in elastic pipes, when calculating some damping in pipe material, is derived into practice. Rheological model of such a pipe corresponds to Voigt (Kelvin) model. For analysing dynamic effects in time periods are used numerical methods that deal with flow of compressible fluid: FTCS, Lax-Friedrichs and Lax-Wendroff method. The numerical results are confronted with the experiment. During the experiment simulation the method considers speed of sound in liquid like a function of pressure. This diploma thesis lays partial principles for finding elastic constants for describing dynamic characteristics of elastic pipes by measuring the pressure pulsations.
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Detection of the pulse wave velocity in an elastic tube
Chlup, Hynek ; Macková, H. ; Vilímek, M. ; Žitný, R. ; Konvičková, S.
The velocity of the pulse wave in blood vessels is one of the important hemodynamical parameters to detect health condition or a degree of damage of a diseased artery. To understand the problem, the physiological values must be known. In our laboratory, the velocity of pulsewave in elastic tubes and arteries is measured in vitro by non-invasive method. The method is based on optical measurements of displacement of the pulsating pipe wall. A crash test camera with high frame rate of 1000 Hz (fps) was used.
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