Article

On the free convection from a horizontal plate

The University Department of Mathematics Durham England
Zeitschrift für angewandte Mathematik und Physik ZAMP (Impact Factor: 1.11). 01/1958; 9(3):276-282. DOI: 10.1007/BF02033031

ABSTRACT

Die freie Konvektion an einer beheizten horizontalen Platte wird nach den blichen Methoden der Grenzschichttheorie untersucht. Weist die wrmebertragende Plattenseite nach oben, so ist das Problem auf dieser Basis unlsbar, wohl aber findet man eine widerspruchsfreie Lsung, wenn diese Plattenseite nach unten weist. In diesem ist die Nusselt Zahl, die den Wrmebergang kennzeichnet, proportional der 1/5-ten Potenz der Rayleigh Zahl, welche die Beheizung charakterisiert. Die bereinstimmung mit dem Experiment ist befriedigend.

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    • "Mikheyev found that in same conditions, heat transfer rate from a vertical plate was 70% less than that of horizontal plate. Stewartson[7] did first theoretical study on natural convective heat transfer from horizontal surface who showed existence of similarity solutions for a semi-infinite isothermal plate where air is used as working medium.However,there was mistake in this paper regarding the condition for the existence of boundary layer flow on semiinfinite isothermal flat surface. Gill[8]corrected the mistake of the above paper and proved that the flow for which solutions of boundary-layer could be obtained was that generated by a cooled plate facing downwards or a heated plate facing upwards. "

    Full-text · Dataset · Aug 2015
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    • "Mikheyev found that in same conditions, heat transfer rate from a vertical plate was 70% less than that of horizontal plate. Stewartson[7] did first theoretical study on natural convective heat transfer from horizontal surface who showed existence of similarity solutions for a semi-infinite isothermal plate where air is used as working medium.However,there was mistake in this paper regarding the condition for the existence of boundary layer flow on semiinfinite isothermal flat surface. Gill[8]corrected the mistake of the above paper and proved that the flow for which solutions of boundary-layer could be obtained was that generated by a cooled plate facing downwards or a heated plate facing upwards. "
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    ABSTRACT: Natural convection heat transfer flow with internal object in vertical channel is encountered in several applications such as heat exchangers, nuclear reactor fuel elements, heat dissipation in electronic circuits, refrigerators and dry cooling towers. The present paper deals with study of natural convection heat transfer data available from different literature for horizontal heated plate facing upward and also study about the heat source placed in vertical channel is discussed. The numerical, analytical and experimental works were extensively done in many heat transfer paper in horizontal plate facing upward. A number of researchers have developed correlation for Nusselt number in terms of Rayleigh number or Modified Rayleigh number are presented.
    Full-text · Article · Jan 2015
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    • "Natural convection over an inclined plate was first studied experimentally by Rich [1]. A solution for the boundary layer on a horizontal plate showing that if the plate is heated and faces downwards or is cooled and faces upwards was presented by Stewartson [2]. Free convection heat transfer from an isothermal plate with arbitrary inclination was investigated by [3]. "
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    ABSTRACT: This study investigates the effects of an arbitrary wall shear stress on unsteady magnetohydrodynamic (MHD) flow of a Newtonian fluid with conjugate effects of heat and mass transfer. The fluid is considered in a porous medium over an inclined plate with ramped temperature. The influence of thermal radiation in the energy equations is also considered. The coupled partial differential equations governing the flow are solved by using the Laplace transform technique. Exact solutions for velocity and temperature in case of both ramped and constant wall temperature as well as for concentration fields are obtained. It is found that velocity solutions are more general and can produce a huge number of exact solutions correlative to various fluid motions. Graphical results are provided for various embedded flow parameters and discussed in detail.
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