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Journal ArticleDOI

Developing laminar free convection between vertical flat plates with asymmetric heating

01 Nov 1972-International Journal of Heat and Mass Transfer (Pergamon)-Vol. 15, Iss: 11, pp 2293-2308
TL;DR: In this paper, a numerical and experimental investigation of the developing laminar free convection heat transfer in vertical parallel plate channels with asymmetric heating is presented, where the Nusselt number characterizing the total heat transfer to the fluid is found to be related to the Rayleigh number very nearly by a universal curve for all ratios of wall temperature differences.
About: This article is published in International Journal of Heat and Mass Transfer.The article was published on 1972-11-01. It has received 330 citations till now. The article focuses on the topics: Nusselt number & Rayleigh number.
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Book ChapterDOI
TL;DR: In this paper, the authors focus on determining equations for the local and mean rate of laminar heat transfer, which are approximately valid for different geometries by use of these equations, several new correlations are obtained for various heat transfer problems, and the results compared with experiments.
Abstract: Publisher Summary The first part of the chapter focuses on determining equations for the local and mean rate of laminar heat transfer, which are approximately valid for different geometries By use of these equations, several new correlations are obtained for various laminar heat transfer problems, and the results compared with experiments The problems considered involve heat transfer (1) from a cylinder, (2) from a sphere, (3) between concentric cylinders, (4) between concentric and eccentric spheres, (5) between vertical plates, and (6) from a nonisothermal vertical plate Attention is then turned to turbulent free convection heat transfer where the heat transfer from inclined plates and between differentially heated plates is considered A method of solving problems involving both laminar and turbulent convection is then outlined The criterion developed for the regions of applicability of the laminar and turbulent equations is shown to accurately predict the experimentally determined onset of instability of the laminar flow for free convection from an isolated plate A recommendation is then made for correlating heat transfer results in a clearer and more convenient way

302 citations

Book ChapterDOI
TL;DR: The chapter summarizes analytical, numerical, and experimental work in literature, in order to facilitate the improvement of existing schemes and provide a basis for the development of new ones on the thermal control of semiconductor devices, modules, and total systems.
Abstract: Publisher Summary Thermal control of electronic components has one principal objective, to maintain relatively constant component temperature equal to or below the manufacturer's maximum specified service temperature, typically between 85 and 100°C. It is noted that even a single component operating 10°C beyond this temperature can reduce the reliability of certain systems by as much as 50%. Therefore, it is important for the new thermal control schemes to be capable of eliminating hot spots within the electronic devices, removing heat from these devices and dissipating this heat to the surrounding environment. Several strategies have developed over the years for controlling and removing the heat generated in multichip modules, which include advanced air-cooling schemes, direct cooling, and miniature thermosyphons or free-falling liquid films. The chapter summarizes analytical, numerical, and experimental work in literature, in order to facilitate the improvement of existing schemes and provide a basis for the development of new ones. The chapter focuses on investigations performed over the past decade and includes information on the thermal control of semiconductor devices, modules, and total systems.

285 citations

Journal ArticleDOI
TL;DR: In this paper, an experimental investigation into heat transfer and mass flow in thermosyphoning air heaters, such as solar chimneys and Trombe walls, was conducted.

209 citations


Cites methods from "Developing laminar free convection ..."

  • ...An analysis presented by Wirtz and Stutzman [40] suggests that, based on [2], for a 20 mm channel depth and 200 W/m(2) input, the thermal boundary layers should merge at about 4....

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References
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Journal ArticleDOI
W. Elenbaas1
TL;DR: In this article, the warmeabgabe bei freier Konvektion in Luft von vertikalen quadratischen parallelen Platten of h × h cm2 im gegenseitigen Abstand b wird gemessen.

535 citations

Journal ArticleDOI
TL;DR: The development of free convection in a viscous fluid between heated vertical plates is investigated in this paper, where the basic governing continuity, momentums and energy equations are expressed in finite difference form and solved numerically on a digital computer.
Abstract: The development of free convection in a viscous fluid between heated vertical plates is investigated. The basic governing continuity, momentums and energy equations are expressed in finite difference form and solved numerically on a digital computer. Results are obtained for the variations of velocity, temperature, and pressure throughout the flow field assuming the fluid to enter the channel with ambient temperature and a flat velocity profile. The flow and heat-transfer characteristics of the channel are studied and a development height established. A comparison is made between the results of this theoretical investigation and the experimental work of Elenbaas.

320 citations

Journal ArticleDOI
TL;DR: In this article, the heat transfer problem of combined free and forced convection by a fully developed laminar flow in a vertical channel of constant axial wall temperature gradient with or without heat generations is approached by a new method.
Abstract: The heat-transfer problems of combined free and forced convection by a fully developed laminar flow in a vertical channel of constant axial wall temperature gradient with or without heat generations are approached by a new method. By introducing a complex function which is directly related to the velocity and temperature fields, the coupled momentum and energy equations are readily combinable to a Helmholtz wave equation in the complex domain. This greatly reduces the complexities of the problems. For illustrations, the cases of flows between parallel plates and in a rectangular channel are treated. Results show that this method is more direct and powerful than those of previous investigations. (auth)

162 citations

01 Apr 1954
TL;DR: In this paper, an analysis of the flow of fluids with and without heat sources and subject to body forces between two plane parallel surfaces which are oriented in the direction of the generating body force under the condition that the temperature vary linearly along these surfaces is presented.
Abstract: Note presenting an analysis of the flow of fluids with and without heat sources and subject to body forces between two plane parallel surfaces which are oriented in the direction of the generating body force under the condition that the temperature vary linearly along these surfaces. Results regarding the velocity and temperature distributions, heat transfer, and fluid flow are provided.

132 citations