Optimum dimensions of convecting–radiating fins:: Part I — longitudinal fins

Abstract The optimum dimensions of convective radiating extended surfaces or fins have been determined. Several fin shapes, profiles, have been analyzed including those treated by Gardner (Trans. ASME 69 (8) (1945) 621–631). Consideration is given to radiating fins and convective–radiating fins. In addition the cases of non-zero temperature sink, and the influence of the temperature dependent thermal conductivity and emissivity have been investigated. The results are generalized by expressing the fin’s optimum thickness, height, and heat dissipation in dimensionless form. They are presented graphically and in polynomial form the latter being particularly useful for computerized calculations.

[1]  Myron Levitsky,et al.  The criterion for validity of the fin approximation , 1972 .

[2]  Abdul Aziz,et al.  Optimum design of radiating and convecting-radiating fins , 1996 .

[3]  Panagiotis Razelos,et al.  Two-Dimensional Effects and Design Criteria for Convective Extended Surfaces , 1992 .

[4]  R. K. Irey,et al.  Errors in the One-Dimensional Fin Solution , 1968 .

[5]  J. G. Bartas,et al.  Radiation Fin Effectiveness , 1960 .

[6]  A. Aziz.  Optimum Dimensions of Extended Surfaces Operating in a Convective Environment , 1992 .

[7]  P. Razelos,et al.  The optimization of longitudinal convective fins with internal heat generation , 1979 .

[8]  Wolfgang Leidenfrost,et al.  Evaporative Cooling and Heat Transfer Augmentation Related to Reduced Condenser Temperatures , 1982 .

[9]  Ephraim M Sparrow,et al.  Radiating, convecting and conducting fins: Numerical and linearized solutions , 1968 .

[10]  Benjamin T.F. Chung.  Optimization of design parameters for radiating longitudinal fins of various geometries , 1986 .

[11]  W. Lau,et al.  Errors in One-Dimensional Heat Transfer Analysis in Straight and Annular Fins , 1973 .

[12]  P. Razelos,et al.  The Optimum Dimensions of Circular Fins with Variable Thermal Parameters , 1979 .

[13]  Chen-Ya Liu,et al.  On optimum rectangular cooling fins , 1961 .

[14]  Steven M. Smith.  The use of electrical transmission line theory to predict the performance of spacecraft radiators , 1992 .

[15]  D. P. Sekulic,et al.  Extended surface heat transfer , 1972 .

[16]  J. Wilkins,et al.  Minumum-Mass Thin Fins which Transfer Heat Only by Radiation to Surroundings at Absolute Zero , 1960 .

[17]  Panagiotis Razelos,et al.  Errors due to the Length of Arc Idealization in Convective Extended Surfaces , 1994 .

[18]  Allan D. Kraus,et al.  Sixty-Five Years of Extended Surface Technology (1922–1987) , 1988 .