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Laminar free convection heat transfer of a viscous incompressible heat generating fluid-flow past a vertical porous plate in the presence of free-stream oscillations. I

Laminarer freier Konvektionswärmeübergang von einer viskosen, inkompressiblen, Wärme erzeugenden Strömung hinter einer vertikalen, porösen Platte bei Vorhandensein von Freistromschwingungen. I.

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Summary

The title problem has been analysed with a view to estimate the effect of the temperature dependent heat sources (sinks) on the oscillatory flow and heat transfer. The governing equations have been reduced to two non-linear ordinary differential equations which have been solved approximately subject to the relevant boundary conditions. The flow- and heat-transfer characteristics have been found to depend on the heat source parameter α besides the usual free convection parameterG, the wall temperature-ratio parameterm, the Prandtl numberP and the Eckert numberE. For convenience the work has been divided into two parts, Part I dealing with the mean flow and heat transfer and the Part II with the unsteady flow and heat transfer. Several qualitatively interesting results concerning the effect of heat sources (sinks) on the mean flow and heat transfer have been pointed out clearly in Section 3.

Zusammenfassung

Das vorliegende Problem wird behandelt, um den Einfluß der temperaturabhängigen Wärmequellen (Senken) auf das Stromfeld und den Wärmeübergang abzuschätzen. Das System der Grundgleichungen wird auf zwei nichtlineare gewöhnliche Differentialgleichungen reduziert, die unter den gegebenen Randbedingungen gelöst werden. Die charakteristischen Bestimmungsstücke des Stromfeldes sowie des Wärmeüberganges hängen vom Wärmequellenparameter α, von der KonvektionskennzahlG, von dem Wand-Temperaturparameterm, der PrandtlzahlP und der Eckertzahl,E ab. Die Arbeit wurde in zwei Teile zerlegt. Teil I behandelt die mittlere Strömung und den Wärmeübergang. Teil II beschreibt die instationäre Strömung und den zugehörigen Wärmeübergang. Einige interessante Ergebnisse über den Einfluß der Wärmequellen auf die mittlere Strömung und den Wärmeübergang befinden sich in Abschnitt 3.

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  1. Department of Mathematics, Indian Institute of Technology, 721302, Kharagpur, India

    K. Vajravelu & K. S. Sastri

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  1. K. Vajravelu
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Vajravelu, K., Sastri, K.S. Laminar free convection heat transfer of a viscous incompressible heat generating fluid-flow past a vertical porous plate in the presence of free-stream oscillations. I. Acta Mechanica 31, 71–87 (1978). https://doi.org/10.1007/BF01261187

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