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- W2040321492 abstract "The Isotherm Migration Method is extended to two dimensions. The equations are formulated and a convenient finite-difference method of solution is described for a variety of initial and boundary conditions. Particular attention is devoted to Stefan problems in which phase changes occur on a moving interface. As an example the solidification of a square prism of fluid is solved in detail and the numerical results are compared with those obtained by earlier authors. La méthode de migration isotherme est étendue à deux dimensions. Les équations une fois formulées, une méthode de résolution appropriée basée sur un schéma de différences finies est présentée pour diverses conditions aux limites et initiales. Une attention particulière est donnée aux problèmes de Stefan dans lesquels des changements de phase interviennent sur un interface en mouvement. A titre d'exemple le problème de solidification d'un priseme carré de fluide est résolu en détail et les résultats numériques sont comparés à ceux obtenues par des auteurs antérieurs. Die isotherme Migrationsmethode wird auf zweidimensionale Fälle erweitert. Die hergeleiteten Gleichungen werden mit einer geeigneten finite-Differenzen-Methode für verschiedene Anfangs- und Randbedingungen gelöst. Besonderes Augenmerk wird dem Stefan-Problem gewidmet, bei dem Phasenänderungen in einer bewegten Grenzfläche auftreten. Am Beispiel eines in Quadratprismenform erstarrenden Fluids erfolgt eine ausführliche Beschreibung des Lösungswegs und ein Vergleich der Ergebnisse mit denen aus früheren Veröffentlichungen. Meтoд изoтepмичecкoй мигpaции pacпpocтpaняeтcя нa двyмepнyю зaдaчy. Cфopмyлиpoвaны ypaвнeния и oпиcaн мeтoд кoнeчныч paзнocтeй для ич peшeния для цeлoгo pядa нaчaльныч и гpaничныч ycлoвий. Ocoбoe внимaниe oбpaщaeтcя нa зaдaчy Cтeфaнa, кoгдa измeнeниe фaзы пpoиcчoдит нa движyщeйcя гpaницe paздeлa. B кaчecтвe пpимepa пpивoдитcя пoдpoбнoe peшeниe для пpoцecca зaтвepдeвaния жидкocти в фopмe квaдpaтнoй пpизмы. Чиcлeнныe peзyльтaты cpaвнивaютcя c бoлee paнними peзyльтaтaми, пoлyчeнными дpyгими иccлeдoвaтeлями." @default.
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- W2040321492 date "1975-09-01" @default.
- W2040321492 modified "2023-09-24" @default.
- W2040321492 title "Isotherm Migration Method in two dimensions" @default.
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- W2040321492 doi "https://doi.org/10.1016/0017-9310(75)90228-8" @default.
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