On The Optimization of Circular Radiating Fins With Fin to Fin and Fin to Base Radiant Interaction

[+] Author and Article Information
Rizos N. Krikkis

Institute of Chemical Engineering and High Temperature Chemical Processes, P.O. Box 1414, Stadiou St., Platani, 26 500 Patras, Greece

Panagiotis Razelos

College of Staten Island, CUNY, New York

J. Heat Transfer 126(1), 134-137 (Mar 10, 2004) (4 pages) doi:10.1115/1.1565094 History: Received March 05, 2002; Revised December 02, 2002; Online March 10, 2004
Copyright © 2004 by ASME
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Sparrow,  E. M., Miller,  G. B., and Jonsson,  V. K., 1962, “Radiating Effectiveness of Annular-Finned Space Radiators, with Mutual Irradiation Between Radiator Elements,” ASCE, J. Aerosp. Eng., 29, pp. 1291–1299.
Chung,  B. T. F., and Zhang,  B. X., 1991, “Minimum Mass Longitudinal Fins With Radiation Interaction at the Base,” J. Franklin Inst., 328(1), pp. 143–161.
Chung,  B. T. F., and Zhang,  B. X., 1991, “Optimization of Radiating Fin Array Including Mutual Irradiations Between Radiator Elements,” ASME J. Heat Transfer, 113, pp. 814–822.
Krishnaprakas,  C. K., 1997, “Optimum Design of Radiating Longitudinal Fin Array Extending From a Cylindrical Surface,” ASME J. Heat Transfer, 119, pp. 857–860.
Schnurr,  E. M., and Cothran,  C. A., 1974, “Radiation from an Array of Gray Circular Fins of Trapezoidal Profile,” AIAA J., 12(11), pp. 1476–1480.
Schnurr,  E. M., Shapiro,  A. B., and Townsend,  M. A., 1976, “Optimization of Radiating Fin Arrays With Respect to Weight,” ASME J. Heat Transfer, 98, pp. 643–648.
Razelos,  P., and Georgiou,  E., 1992, “Two-Dimensional Effects and Design Criteria for Convective Extended Surfaces,” Heat Transfer Eng., 13(3), pp. 38–48.
Razelos,  P., and Imre,  K., 1980, “The Optimum Dimensions of Circular Fins With Variable Thermal Parameters,” ASME J. Heat Transfer, 102(2), pp. 420–425.
Schittkowski, K., 1986, “NLPQL: A FORTRAN Subroutine Solving Constrained Nonlinear Programming Problems,” Annals of Operations Research, Clyde L. Monma, ed., 5 , pp. 485–500.
Razelos,  P., 1979, “The Optimization of Convective Fins With Internal Heat Generation,” Nucl. Eng. Des., 52(2), pp. 289–299.
Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.
Razelos,  P., and Krikkis,  R. N., 2001, “Optimum Design of Longitudinal Rectangular Fins with Base to Fin Radiant Interaction,” Heat Transfer Eng., 22(3), pp. 3–17.
Ascher, U. M., Mattheij, R. M. M., and Russel, R. D., 1995, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, 2nd ed., SIAM, Philadelphia, PA.
Keller, H. B., 1992, Numerical Methods for Two-Point Boundary-Value Problems, Dover, New York.
Hairer, E., Nørsett, S. P., and G., Wanner, 1987, Solving Ordinary Differential Equations I. Nonstiff Problems, Springer-Verlag, New York.
Sparrow,  E. M., 1963, “A New and Simpler Formulation for Radiative Angle Factors,” ASME J. Heat Transfer, 85, pp. 81–88.


Grahic Jump Location
βopt as a function of the removal number Nr for a circular assembly
Grahic Jump Location
γopt as a function of the removal number Nr for a circular assembly
Grahic Jump Location
νopt2 as a function of the removal number Nr for a circular assembly




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