Zusammenfassung
Wenn Wärmeleitung und/oder Konvektion zusammen mit Strahlung in einem absorbierenden und emittierenden Medium auftreten, werden die bereits für den Fall reiner Strahlung angesprochenen mathematischen Probleme komplizierter. Wenn nicht gezeigt werden kann, daß sowohl Leitung als auch Konvektion vernachlässigbar im Vergleich zur Strahlung sind oder umgekehrt, erhält man eine nichtlineare Integrodifferentialgleichung für die Transportgleichung für den allgemeinen Fall. Die Formulierung kann für einige Fälle, bei denen alle Übertragungsmechanismen miterfaßt werden müssen, vereinfacht werden. Ist zum Beispiel das Gas optisch dick, dann darf die Diffusionsnäherung angewendet werden. Die Strahlungsintegrale werden durch Differentialausdrücke ersetzt, und man erhält eine nichtlineare Differentialgleichung. Andere Näherungen, wie die Näherungen für transparente Gase oder optisch dünne Gase (Abschnitt 3.3.1) lassen sich unter geeigneten Bedingungen zur Vereinfachung der Strahlungsterme anwenden.
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Siegel, R., Howell, J.R., Lohrengel, J. (1993). Wärmeübertragung durch Strahlung, Leitung und/oder Konvektion. In: Wärmeübertragung durch Strahlung. Wärme- und Stoffübertragung. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84711-0_6
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