{"id":86354,"date":"2018-03-10T00:10:54","date_gmt":"2018-03-10T00:10:54","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/models-de-camp-de-fase-per-a-fenomens-de-digitacio-viscosa\/"},"modified":"2018-03-10T00:10:54","modified_gmt":"2018-03-10T00:10:54","slug":"models-de-camp-de-fase-per-a-fenomens-de-digitacio-viscosa","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/models-de-camp-de-fase-per-a-fenomens-de-digitacio-viscosa\/","title":{"rendered":"Models de camp de fase per a fen\u00f3mens de digitaci\u00f3 viscosa"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Roger Folch Manzanares <\/strong><\/h2>\n<p>Hemos desarollado un modelo de phase-field para el problema de saffaman-taylor, y lo hemos usado para estudiar aspectos abiertos de los fen\u00f3menos de crecimiento de interfases. Concretamente, hemos obtenido el modelo para contraste de viscosidades arbitrario. El modelo es v\u00e1lido porque hemos comprobado  que tiene el l\u00edmite de sharp interface correcto y que es viable num\u00e9ricamente. su precisi\u00f3n est\u00e1 controlada, ya que hemos calculado anal\u00edticamente las correcciones al problema de free boundary y hemos comprobado  su efecto anal\u00edtica y num\u00e9ricamente en el regimen lineal y num\u00e9ricamente en la din\u00e1mica no lineal y el estado estacionario. Hemos descubierto que el modelo tiene dos par\u00e1metros peque\u00f1os independietes, as\u00ed como las condiciones sobre \u00e9stos que controlan la convergencia al problema original. Hemos comprobado num\u00e9ricamente esta convergencia  y hemos hallado valores concretos de los par\u00e1metros para garantizar cotas m\u00e1ximas para cada tipo de error en cada situaci\u00f3n f\u00edsica. El modelo resultante es perfectamente aplicable, como demuestran los siguientes resultados origianles: la anisotrop\u00eda en la viscosidad de un nem\u00e1tico se puede mapear a la de la surface stiffness y reproducir as\u00ed la transici\u00f3n morfol\u00f3gica entre tipo splitting y side branching observada en experimentos en que el fluido m\u00e1s viscoso es un cristal l\u00edqudio, pero tambi\u00e9n en experimentos con celas rayadas y en solidificaci\u00f3n. En un canal, la anisotrop\u00eda sobre la l\u00ednea de transici\u00f3n disminuye con la tensi\u00f3n superifcial adimensional y se anula para un valor cr\u00edticio de \u00e9sta, por debajo del cual s\u00f3lo observamos side branching. Esta dependencia implica una transaci\u00f3n entre moroflog\u00edas en el caso circular. Hemos estudiado el forzamiento peri\u00f3dico de la din\u00e1mica al variar un par\u00e1metro de cotnrol, concretamente la anisotrop\u00eda, cosa que se consigue experiemntalmente en gemotr\u00eda ciruclar al conectar y desconectar peri\u00f3dicamente un campo el\u00e9ctri<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Models de camp de fase per a fen\u00f3mens de digitaci\u00f3 viscosa<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Models de camp de fase per a fen\u00f3mens de digitaci\u00f3 viscosa <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Roger Folch Manzanares <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 15\/09\/2000<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jaume Casademunt Viader<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ra\u00fal Toal garc\u00e9s <\/li>\n<li>mathis Plapp (vocal)<\/li>\n<li>laureano Ramirez de la piscina millan (vocal)<\/li>\n<li>\u00e1gnes Buka (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Roger Folch Manzanares Hemos desarollado un modelo de phase-field para el problema de saffaman-taylor, y lo hemos [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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