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Modeliranje konvekcijsko-difuzijskega prenosa toplote v sistemih s trdno in kapljevinsko fazo z metodo robnih elementov : magisterijKošir, Aleš, 1965-Definiramo fizikalni model, s katerim obravnavamo naloge s faznim prehodom med kapljevinsko in trdno fazo, kot značilno nastopajo pri običajnih metalurških procesih kontinuiranega ulivanja čistega ... aluminija. Omejimo se na obravnavo konvekcijsko-difuzijskega prenosa toplote. Pojasnimo osnovne enačbe, izpeljane iz fizikalnih ohranitvenih zakonov, in pokažemo, kako vpeljemo model povprečevanja prek značilnih osnovnih prostornin. Iz tega modela izpeljemo model z eno enačbo, s katero opisujemo sistem. Označimo in ovrednotimo brezdimenzijska števila, ki nastopajo v modelu. Model z eno enačbo numerično rešimo z metodo robnih elementov z dvojno recipročnostjo. Pri implicitni časovni diskretizaciji z iteracijo rešujemo nelinearni sistem enačb in pri tem uporabimo Voller-Swaminathanovo shemo za napovedovanje vrednosti za prostorninski delež trdne faze. Opišemo ključne korake numerične metode. Numerično metodo preskusimo na izbranih analitičnih izračunljivih testnih primerih in rezultate primerjamo z nekaj klasičnimi shemami, osnovanimi na metodi kontrolnih prostornin, in z dostopnimi numeričnimi in eksperimentalnimi rezultati iz literature. Ugotovili smo, da je prikazana metoda robnih elementov z dvojno recipročnostjo stabilna, konsistentna in konvergentna pri tehnično zanimivih procesnih parametrih, kot nastopajo pri običajnem kontinuiranem ulivanju.Type of material - master's thesisPublication and manufacture - Ljubljana : [A. Košir], 1995Language - slovenianCOBISS.SI-ID - 1412891
Author
Košir, Aleš, 1965-
Other authors
Šarler, Božidar
Topics
metalurgija |
kovine |
aluminij |
prenos toplote |
fazni prehodi |
taljenje |
strjevanje |
modeli |
metoda robnih elementov |
magistrske naloge
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Košir, Aleš, 1965- | 12602 |
Source: Personal bibliographies
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