Eficiencia de las aletas con sección transversal no uniforme
DOI:
https://doi.org/10.15446/ing.investig.n25.20746Keywords:
Transferencia de calor, Ecuación diferencial de Bessel, Métodos matemáticos (es)Heat transfer, Bessel differential equation, Mathematical methods (en)
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El cálculo matemático exacto del perfil de temperatura y por ende de la eficiencia de la aleta con sección transversal no uniforme implica la solución de una ecuación diferencial de Bessel modificada. En este artículo se presenta e implementa una alternativa de cálculo de las funciones de Bessel modificadas de primera y segunda clase que resultan de resolver la ecuación diferencial y que permite la valoración de la eficiencia de la aleta. Se utilizan cuadraturas de Gauss y de Laguerre para la integración numérica de las funciones modificadas de Bessel de cualquier orden. Esta alternativa puede considerarse como una forma más elaborada y precisa, con respecto a las propuestas convencionales para la solución del problema.
References
Carnahan, B., Luther, H.A. Cálculo numérico. Métodos, aplicaciones. Ed. Rueda. Madrid, 1979.
Gardner, K.A. Efficiency of extended surfaces, Trams. ASME, 67, 621-631, 1945. DOI: https://doi.org/10.1115/1.4018343
Harper, W.P., Brown, D. R. Mathematical equations for heat conduction in the fins of air-cooled engines, NACA Rep. 158, 1922.
Holman, J.P Transferencia de calor. McGraw-Hill book Co. Compañía Editorial Continental S.A., Segunda edición, 1980.
Jahnke, E., Emde, F., Losch, F. Tables of Higher Functions. 6th ed., McGraw-Hill, 1960.
Jenson, V.G., Jeffreys, G.V. Métodos matemáticos aplicados en Ingeniería Química. Ed. Alhambra. Madrid. Primera edición, 1969.
Karlekar, B.V., Desmond, R.M. Transferencia de calor. Nueva Editorial Interamericana S.A., 1985.
Kreith, F. Principles of heat transfer. Harper Internat. Edition, fourth ed., 1986.
Pitts, D.R., Sissom, L.E. Heat transfer. McGraw-Hill Latinoam. S.A., 1977.
Ozisik, N.M. Transferencia de calor. MGraw-Hill Latinoam. S.A., 1985.
Welty, J.R. Transferencia de calor aplicada a la Ingeniería. John Wiley & Sons. Editorial Limusa, 1981.
Welty, J.R., Wilson, R.E., Wicks, C.E. Fundamentals of momentum, heat and mass transfer. Wiley International Ed., 1969.
Wylie, R.C. Advanced engineering mathematics. MGraw-Hill Book Co., 1975.
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Copyright (c) 1991 Hermes A. Rangel Jara

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