Combined forced and free convection flow on vertical surfaces
01 Feb 1970-International Journal of Heat and Mass Transfer (Elsevier Limited)-Vol. 13, Iss: 2, pp 434-438
About: This article is published in International Journal of Heat and Mass Transfer.The article was published on 1970-02-01 and is currently open access. It has received 210 citations till now. The article focuses on the topics: Combined forced and natural convection & Rayleigh–Bénard convection.
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TL;DR: In this article, the effect of radiation on the forced and free convection flow of an optically dense viscous incompressible fluid along a heated vertical flat plate with uniform free stream and uniform surface temperature with Rosseland diffusion approximation was investigated.
Abstract: This paper investigates the effect of radiation on the forced and free convection flow of an optically dense viscous incompressible fluid along a heated vertical flat plate with uniform free stream and uniform surface temperature with Rosseland diffusion approximation. With appropriate transformations, the boundary layer equations governing the flow are reduced to local nonsimilarity equations valid in the forced convection regime as well as in the free convection regime. A group of transformation is, also, introduced to reduce the boundary layer equations to a set of local nonsimilarity equations valid in both the forced and free convection regimes. Solutions of the governing equations are obtained by employing the implicit finite difference methods together with Keller box scheme and are expressed in terms of local shear stress and local rate of heat transfer for a range of values of the pertinent parameters.
574 citations
TL;DR: In this article, the authors considered the flow and heat transfer in a square cavity where the flow is induced by a shear force resulting from the motion of the upper lid combined with buoyancy force due to bottom heating.
277 citations
TL;DR: In this article, the effects of the viscosity/temperature parameter G r the thermal-diffusion parameter Sr (Soret number) and the diffusion-thermo parameter Df (Dufour number) have been examined on the flow field of a hydrogen-air mixture as a non-chemical reacting fluid pair.
267 citations
TL;DR: In this paper, the problem of combined free and forced convection about inclined surfaces (or wedges) in a saturated porous medium is analyzed on the basis of boundary-layer approximations.
206 citations
TL;DR: In this paper, the authors describe the combined forced and natural convection heat transfer process within a recirculating flow in an insulated lid-driven cavity of rectangular cross section (150 mm × 450 mm) and depth varying between 150 mm and 600 mm.
187 citations
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TL;DR: In this article, the boundary-layer flow over a semi-infinite vertical flat plate, heated to a constant temperature in a uniform free stream, is discussed in the two cases when the buoyancy forces aid and oppose the development of the boundary layer.
Abstract: The boundary-layer flow over a semi-infinite vertical flat plate, heated to a constant temperature in a uniform free stream, is discussed in the two cases when the buoyancy forces aid and oppose the development of the boundary layer. In the former case, two series solutions are obtained, one of which is valid near the leading edge and the other is valid asymptotically. An accurate numerical method is used to describe the flow in the region where the series are not valid. In the latter case, a series, valid near the leading edge is obtained and it is extended by a numerical method to the point where the boundary layer is shown to separate.
160 citations
TL;DR: In this article, the authors analyzed the combined forced and free convection heat transfer in laminar boundary layer flows, in which the momentum equation is coupled with the energy equation on account of the presence of the gravitational term.
109 citations
79 citations
TL;DR: In this paper, a method is presented for calculating the shear stress and the rate of heat transfer in external flows for combined laminar forced and free convection, and the parameter Gr/Re2 is of fundamental importance in such problems.
Abstract: A method is presented for calculating the shear stress and the rate of heat transfer in external flows for combined laminar forced and free convection. The parameter Gr/Re2 is of fundamental importance in such problems. Numerical results are reported for the heating and cooling of upward flow past a vertical flat for three Prandtl numbers. It is found that the transition from forced to free convection is gradual, especially at high Prandtl numbers. The inflence of free convection on the separation point is also examined.
73 citations
25 citations