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ISSN Online: 2377-424X

ISBN Print: 0-89116-130-9

International Heat Transfer Conference 6
August, 7-11, 1978, Toronto, Canada

FREE-FORCED CONVECTION FROM A HEATED CONE

Get access (open in a dialog) DOI: 10.1615/IHTC6.2980
pages 13-18

要約

Heat transfer and shear stress may be significantly affected by buoyancy-forced and associated free-convection motions in many forced-convection flows. A cross flow is induced when a uniform, horizontal stream passes along a heated, axisymmetric slender body. The cross-flow effect on heat transfer and shear stress grows as the fluid flows downstream, and eventually becomes one of the dominant mechanisms even for a moderate-speed forced-convection flow. The interaction of the buoyancy-force effect and its influence on the flow transition under the nonzero pressure gradient conditions is studied in the heated boundary layer. A similarity solution is presented for a three-dimensional boundary layer on a heated cone with constant surface temperature. The numerical solutions of the ordinary differential equations reduced by the similarity transformation are presented in the region near the vertex of the cone. The results indicate that the cross flow grows as the fluid flows downstream for the cone with a half angle less than 66.25°. For a cone with a half angle larger than 66.25°, the magnitude of the cross flow is about the same order as that of the axial flow in the neighborhood of the cone vertex and is suppressed by the favorable pressure gradient as the fluid moves downstream. Qualitative velocity profiles are given in detail for a stagnation-point flow, which simulates the flow over a blunt-nose of an axisymmetric body. The dependence of the buoyancy force effect on the Prandtl number is also discussed in detail.