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- W2169639770 abstract "On propose un modèle analytique pour le traitement du problème de diffusion thermique nonstationnaire et unidirectionnelle dans une paroi multicouches plane, cylindrique ou sphérique. Ce modèle est basé sur la technique des transformations intégrales et sur le formalisme des matrices de transfert pour résoudre respectivement le problème homogène aux limites et le problème aux valeurs propres qui n'est pas du type Sturm-Liouville conventionnel à cause de la discontinuité des coefficients. Pour le calcul des valeurs propres en vue d'une exploitation numérique du modèle, on présente une procédure fiable car les méthodes classiques n'écartent pas le risque d'en oublier au cours de leur calcul. An analytical model for the transient heat diffusion in one-dimensional multilayered slabs, cylinders and spheres, is proposed. This model is based on the finite integral transform and the transfer matrix formalism for solving the boundary homogeneous problem and the eigenvalue problem that is not of the conventional Sturm- Liouville type in this case. For the computation of the eigenvalues in order to obtain the numerical solution, a reliable procedure is presented because the conventional techniques cannot prevent from missing eigenvalues in the course of the computation. Es wird ein analytisches Modell für die instationäre Wärmeleitung in eindimensionalen mehrschichtigen Platten, Zylindern und Kugeln vorgestellt. Dieses Modell beruht auf der endlichen-Integraltransformation und dem Formalismus der Transfermatrix zur Lösung des homogenen Randproblems sowie des Eigenwertproblems. Letzteres ist im vorliegenden Fall nicht vom Sturm Liouville-Typ. Es wird ein zuverlässiges Verfahren zur Berechnung der Eigenwerte im Zuge der numerischen Lösung vorgestellt. Dies ist erforderlich, weil herkömmliche Verfahren einen Verlust von Eigenwerten bei der Berechnung nicht vermeiden können. ПpeдлoжeHa aиaлитичecкaя Moдeль HecтaциoHapHoгo тeплoпepeHoca в oдHoMepиыч MHoгocлoйHыч плитaч, цилиHдpaч и cфepaч. Moдeль, ocиoвaHиaя Ha кoHeчHoM иHтeгpaльиoM пpeoбpaзoвaиии и фopaMaлизMe Maтpицы пepeиoca, иcпoльзyeтcя для peщeиия гpaHичиoй oдHopoдиoй зaдaчи и зaдaчи иa coбcтвeHиыe зHaчeHия, He являющцeйcя в дaиHoM cлyчae зaдaчeй типa ШтypMa-Лиyвилля. Пocкoлькy пpиMeHeHиe oбычиыч Meтoдoв He пoзвoляeт избeжaть пoтepи coбcтвeиHыч зHaчeHий в чoдe pacчeтoв, HpeдлoжeHa иaдeжHaя Meтoдикa pacчeтa coбcтвeиHыч зHaчeHий, пoзвoляющaя Haйти чиcлeHHoe peшeHиe." @default.
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- W2169639770 date "1991-04-01" @default.
- W2169639770 modified "2023-10-16" @default.
- W2169639770 title "Diffusion thermique non-stationnaire dans des milieux multicouches et problème aux valeurs propres—1. Une paroi unique multicouches" @default.
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