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Numerical Study Of Pulsating Jet At Moderately Small Reynolds Numbers
Dolinský, Jiří ; Doupník, Petr (oponent) ; Popela, Robert (vedoucí práce)
This numerical study is focused on axisymmetric pulsatile jets of moderately small Reynolds numbers and their physics which has not been fully understood so far. The main goal of the thesis is to investigate and assess the effect of introducing time-harmonic velocity component onto the steady velocity component. At first, the steady case was resolved and verified, afterwards the pulsation was introduced and the unsteady solution was carried out. The numerical solution for steady axisymmetric jet has been verified based on asymptotic solution obtained by Hermann Schlichting [44]. Moreover, an original Schlichting's solution was corrected according to an experimental observation obtained by Andrade and Tsien [1], which reduces solution singularity in the near-nozzle area. This correction was proven to be a first-order correction of the original asymptotic solution from a mathematical standpoint by Revuelta et al [36]. The analytical solution was developed in MATLAB while for the numerical simulation, the Ansys Fluent was used and the time-accurate integration of the Navier-Stokes equations based on pressure-correction approach was employed in order to solve the problem. The pulsatile jet was calculated for a set of different parameters in order to assess their impact on the jet evolution. Finally, the possible application in the industry with regards to elimination of pollutants emerging during the combustion process was discussed.
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Popis rozložení napětí v blízkosti kořene ostrého vrubu
Ostratický, Jakub ; Hrstka, Miroslav (oponent) ; Profant, Tomáš (vedoucí práce)
Vrub je z hlediska teorie pružnosti koncentrátorem napětí a znalost popisu tohoto napětí v okolí jeho vrcholu je zásadní pro správnou funkčnost celé škály součástí a výrobků. Napětí ve vrcholu vrubu má singulární charakter a je technicky nemožné zabránit vzniku trhlin v jeho okolí. Avšak z lomové mechaniky je známo, že iniciace a šíření trhlin není ovlivněna velikostí napětí na jejich čelech, ale jeho intenzitou reprezentovanou tzv. součinitelem intenzity napětí. V případě vrubu hovoříme o zobecněném součiniteli intenzity napětí nebo jednoduše o amplitudách singulárních částí napětí. Tyto součinitele není možné stanovit přímo z výsledků dnes běžných numerických metod jako je např. MKP, ale je nutné použít metody lineární lomové mechaniky založené na asymptotickém řešení rovnic rovnováhy pružnosti. Předkládaná práce se zabývá případem symetrického ostrého vrubu v izotropním materiálu zatíženém v módu I nebo II. V práci je analyzován charakter singularity napětí na čele vrubu a vyjádřen odpovídající součinitel intenzity napětí. Získané asymptotické řešení je srovnáno s numerickým řešením MKP.
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Numerical Study Of Pulsating Jet At Moderately Small Reynolds Numbers
Dolinský, Jiří ; Doupník, Petr (oponent) ; Popela, Robert (vedoucí práce)
This numerical study is focused on axisymmetric pulsatile jets of moderately small Reynolds numbers and their physics which has not been fully understood so far. The main goal of the thesis is to investigate and assess the effect of introducing time-harmonic velocity component onto the steady velocity component. At first, the steady case was resolved and verified, afterwards the pulsation was introduced and the unsteady solution was carried out. The numerical solution for steady axisymmetric jet has been verified based on asymptotic solution obtained by Hermann Schlichting [44]. Moreover, an original Schlichting's solution was corrected according to an experimental observation obtained by Andrade and Tsien [1], which reduces solution singularity in the near-nozzle area. This correction was proven to be a first-order correction of the original asymptotic solution from a mathematical standpoint by Revuelta et al [36]. The analytical solution was developed in MATLAB while for the numerical simulation, the Ansys Fluent was used and the time-accurate integration of the Navier-Stokes equations based on pressure-correction approach was employed in order to solve the problem. The pulsatile jet was calculated for a set of different parameters in order to assess their impact on the jet evolution. Finally, the possible application in the industry with regards to elimination of pollutants emerging during the combustion process was discussed.
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