Lamina Free Convective Heat Transfer in Parabolic Enclosures

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Nwabuko, U.
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University of Lagos
The lamina free convection heat transfer characteristics of parabolic enclosures have been investigated using numerical computation and experimental modeling methods. The geometry is a long cavity made up of a parabolic wall bowed over a horizontal wall. Due to symmetry, the analytical model is one half of a two-dimensional cross-section consisting of a hot parabolic upper-wall, a cold horizontal base-wall of width B, and an adiabatic vertical wall of height, H. Two cases of heat-inputs from the parabolic wall have been considered viz; case I; isothermal conditions on hot wall and, case II; constant-heat-flux conditions through hot wall. The base and vertical walls remained isothermal and adiabatic respectively. This model has practical applications in air conditioning considerations of curved-roof housings and in the designs of more efficient solar energy collectors. A finite difference technique called the ‘Staggered Differencing’, SD, for both regular and irregular boundaries, have been deployed, tested and applied successfully in the iterative solutions of the mass, momentum and energy transport equations.
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Lamina Free , Parabolic Enclosures , Heat Transfer
Nwabuko, U. (1987) Lamina Free Convective Heat Transfer in Parabolic Enclosures. Presented to the Faculty of Post Graduate School of the University of Lagos for the Degree of Doctor of Philosophy in Engineering.