Summary
Transient energy transfer in the hot and the surrounding cold layers of gray radiating gas during expansion has been studied. The gases have been assumed to be perfect and in local thermodynamic equilibrium. The heating of the gas by a diffuse and a collimated component of radiation flux incident on the boundaries from some external source has been considered and the dependence of the physical and radiative properties of the gas on the temperature has also been accounted for. The governing equations have been transformed toLagrangian coordiantes and then solved simultaneously by a finite difference method. The distributions of temperature, pressure and velocity are presented in hot as well as cold gas layers as a function of time for a variety of parameters and initial conditions of physical interest.
Zusammenfassung
Der instationäre Energieübergang zwischen einer expandierenden heißen Gasschicht und den sie umgebenden kalten Schichten eines strahlenden grauen Gases wurde untersucht. Die Untersuchung wurde unter der Annahme durchgeführt, daß örtliches thermodynamisches Gleichgewicht herrscht und die Gase dem idealen Gasgesetz gehorchen. Eine weitere Annahme war, daß diffuse und kollimierte Strahlung von einer außerhalb des Systems liegenden Strahlungsquelle auf die äußeren Grenzflächen der kalten Gase auffällt. Die Bestimmungsgleichungen des Systems wurden in einLagrangesches Koordinatensystem überführt und dann simultan gelöst. Die Temperatur-, Druck- und Geschwindigkeitsverteilungen für die heißen und für die kalten Gasschichten wurden als Funktion der Zeit und einer Anzahl von anderen Parametern und Anfangsbedingungen dargestellt.
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Bathala, P.S., Viskanta, R. Transient energy transfer in hot and cold layers of radiating gas during expansion. Acta Mechanica 7, 119–136 (1969). https://doi.org/10.1007/BF01176663
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DOI: https://doi.org/10.1007/BF01176663