Examinando por Autor "Carranza, R.G."
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Ítem Analysis of the boundary conditions for pyramidal spine fins in extended surface heat transfer(WITPress, 2014-01-01) Carranza, R.G.; Ospina, J.; Carranza, R.G.; Ospina, J.; Universidad EAFIT. Departamento de Ciencias; Lógica y ComputaciónMany studies are conducted for pyramidal spine fins relating to temperature profiles and fin efficiencies. However, it is found that a deeper look into the boundary conditions is required. The conditions at the base are simple enough, but the conditions at the tip are more complicated. Despite what condition is applied to the tip, the value at the tip actually has a specific value that is a function of the square root of the Biot number. This result is proven using basic principles from calculus, like the Limit and L’Hospital’s rule. © 2014 WIT Press.Ítem Dynamic analysis of heat transfer through a fin of constant cross-sectional area: Specified fin tip temperature(2009-01-01) Carranza, R.G.; Ospina Giraldo, J.F.; Carranza, R.G.; Ospina Giraldo, J.F.; Universidad EAFIT. Departamento de Ciencias; Lógica y ComputaciónA dynamic analysis is performed for heat transfer through a fin with constant cross-sectional area and with a specified fin tip temperature. The process starts with a dynamic energy balance around the fin. Laplace transforms and the Bromwich Integral are used to solve analytically the resulting partial differential equation. The final purely analytical solution is compared to the well known steady state solution. The two match exactly as time approaches infinity. Furthermore it is shown that the steady-state and dynamic characteristics of the fin are directly tied to the Biot number. Copyright © 2009 by ASME.