Vasculature Optimization of Actively-Cooled Materials Gonçalo Ferreira Nunes Gouveia Valente Thesis to obtain the Master of Science Degree in Aerospace Engineering Supervisor(s): Prof. Alejandro M. Aragón (TU Delft) Prof. André Calado Marta (IST) Examination Committee Chairperson: Prof. Filipe Szolnoky Ramos Pinto Cunha Supervisor: Prof. André Calado Marta Member of the Committee: Prof. João Orlando Marques Gameiro Folgado June 2016 ii Dedicatedtomybelovedfamilyandfriends iii iv Acknowledgments First and foremost, I would like to thank my supervisors Professor Alejandro M. Arago´n and Professor Andre´ Calado Marta, the first for the guidance and support that allowed me to reach as far as I did in this project, the second for the constant feedback and interest in the project and this document as well asinmyconcerns,andbothfortheirpatienceduringthemonthsittookmetocompletethisthesis. Next, I would like to thank the TU Delft university and more specifically the Mechanical, Maritime andMaterialsEngineering (3mE)Departmentforprovidingmetheresearchtopicandtheinfrastructure neededforthisproject. Thefeedbackprovidedinmyprogresspresentationswasalsoveryhelpful. IwouldalsoliketothankmylabmatesatTUDelft forbeingsupportiveandalwaysupforabrainstorm sessionthathasalwaysbeencrucialinsolvingtheissuesthatappearedduringthecourseofthiswork. Finally, I would like to thank all my friends and family for their love and support ever since I needed it. Their help has been important for my entire academic path but the remote support over the last few monthsofcompletingthisthesiswascrucial. Withoutthehelpandsupportfromthisbiggroupofpeople,thisprojectandmyacademicpathwould nothavebeenpossible. Thankyoueveryone! v vi Resumo Com a vontade de explorar todas as possibilidades do imagina´rio da humanidade surgiu o mundo da engenharia. Emaplicac¸o˜esdeengenhariaondeosprocessosdetransfereˆnciadecaloresta˜opresentes surgemosmateriaisvascularesarrefecidosactivamente,quefornecemmotivac¸a˜oparaestatese. O objetivo deste trabalho e´ implementar as ferramentas necessa´rias para modelar e optimizar problemas de transfereˆncia de calor conjugados (o calor dispersa-se pelo dom´ınio na˜o so´ atrave´s de conduc¸a˜omastambe´mdeconvecc¸a˜o). Comodesejodeumaimplementac¸a˜oindependentedaconfigurac¸a˜odoscanaisassociadoaopro- cessodeoptimizac¸a˜o,e´ necessa´rioencontrarumasoluc¸a˜odediscretizac¸a˜oinovadora,te´cnicaquefoi encontradanoInterface-enrichedFiniteElementMethod. Asequac¸o˜esquedefinematransfereˆnciadecalornasduasfasesdemateriaisvascularessa˜odifer- entes. Nas regio˜es dominadas por convecc¸a˜o, as formulac¸o˜es de elementos finitos padra˜o sa˜o inefi- cazesee´ necessa´rioencontrarumasoluc¸a˜odiferente,tendo-seescolhidooStreamlineUpwind/Petrov- Galerkin. EstandointegradosnumgrupodetrabalhonaTUDelft,todososaspectosdeimplementac¸a˜ofazem partedeumaferramentacomputacionaldesenvolvidapeloreferidogrupo(hybrida). Seguindo as premissas acima, foi poss´ıvel comparar resultados com testes de verificac¸a˜o para os me´todosdiscutidosetambe´moptimizargeometriasvasculares,minimizandoatemperaturamaximano seudom´ınio. Usando a abordagem e resultados descritos, foi poss´ıvel concluir que o trabalho desenvolvido re- sultou na aplicac¸a˜o correcta de cada me´todo e tambe´m que a sua combinac¸a˜o e´ eficiente e eficaz na modelac¸a˜o e optimizac¸a˜o de problemas de transfereˆncia de calor conjugados definidos por dom´ınios vascularesarrefecidosactivamente. Palavras-chave: Interface-enrichedFiniteElementMethod,StreamlineUpwind/Petrov-Galerkin, Convecc¸a˜odeCalor,Optimizac¸a˜o. vii viii Abstract Associated with an eagerness to explore every possibility from humankind imagination came the field of engineering. In engineering applications where heat transfer processes are present arise vascular actively-cooledmaterials,whichprovidemotivationforthisthesis. The goal of this work is to implement the tools required to model and optimize conjugated heat transferproblems(heatdispersesthroughthedomainnotonlyvia. heatconductionbutalsoconvection). Inordertoobtainanimplementationthatisindependentoftheconfigurationofthecoolingchannels (important for the optimization process), an innovative solution for the discretization method is in order, whichcanbefoundintheInterface-enrichedFiniteElementMethod. The equations that define heat transfer in the two phases of vascular materials are different. In the convectiondominatedregions,thestandardfiniteelementformulationsareineffectiveanditisnecessary tofindadifferentsolution,beingtheStreamlineUpwind/Petrov-Galerkintechiquethechosenone. BeingdevelopedinaworkgroupatTUDelft,allimplementationaspectsareintegratedinhybrida,a computationaltooldevelopedbysaidgroup. Following this procedure made it possible to match results with verification tests for the discussed methodsandalsotooptimizevasculargeometriesbyminimizingtheirmaximumdomaintemperature. Using the approach and results described above, it has been possible conclude that the developed work resulted in the correct implementation of each method and also that their combination is effective and efficient modeling and optimizing conjugated heat transfer problems defined by vascular actively- cooleddomains. Keywords: Interface-enrichedFiniteElementMethod,StreamlineUpwind/Petrov-Galerkin,Heat Convection,Optimization. ix x
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