The laminar boundary layer equations for free convection over bodies of arbitrary shape (i.e., a three-term series expansion) and with arbitrary surface heat flux or surface temperature are solved in local Cartesian coordinates. Both two-dimensional bodies (e.g., horizontal cylinders) and axisymmetric bodies (e.g., spheres) with finite radii of curvature at their stagnation points are considered. A Blasius series expansion is applied to convert from partial to ordinary differential equations. An additional transformation removes the surface shape dependence and the surface heat flux or surface temperature dependence of the equations. A second-order-correct, finite-difference method is used to solve the resulting equations. Tables of results for low Prandtl numbers are presented, from which local Nusselt numbers can be computed.
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Laminar Natural Convection About Downward Facing Heated Blunt Bodies to Liquid Metals
G. M. Harpole,
G. M. Harpole
Department of Energy and Kinetics, University of California, Los Angeles, Calif.
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I. Catton
I. Catton
Department of Energy and Kinetics, University of California, Los Angeles, Calif.
Search for other works by this author on:
G. M. Harpole
Department of Energy and Kinetics, University of California, Los Angeles, Calif.
I. Catton
Department of Energy and Kinetics, University of California, Los Angeles, Calif.
J. Heat Transfer. May 1976, 98(2): 208-212 (5 pages)
Published Online: May 1, 1976
Article history
Received:
August 13, 1975
Online:
August 11, 2010
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A commentary has been published:
Discussion: “A Study on Multielement Cascades and Airfoils” (Minassian, L. M., 1976, ASME J. Fluids Eng., 98, pp. 208–215)
Citation
Harpole, G. M., and Catton, I. (May 1, 1976). "Laminar Natural Convection About Downward Facing Heated Blunt Bodies to Liquid Metals." ASME. J. Heat Transfer. May 1976; 98(2): 208–212. https://doi.org/10.1115/1.3450520
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