An exact general solution for the temperature distribution and the composite radiation convection heat exchange along a constant cross-sectional area fin
Author:
A. R. Shouman
Journal:
Quart. Appl. Math. 25 (1968), 458-462
DOI:
https://doi.org/10.1090/qam/99882
MathSciNet review:
QAM99882
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Abstract |
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Additional Information
Abstract: An exact general solution is obtained for the nonlinear differential equation governing the one-dimensional steady-state heat exchange by composite radiation and convection along constant area fins with uniform temperature at the base and an arbitrary temperature gradient at the other end. The fin can dissipate or receive energy. The fin is assumed to have constant thermal properties, and the radiant interaction between the fin and the base surfaces is neglected.
Max Jakob, Heat transfer, Vol. 1, John Wiley and Sons, Inc., 1955, pp. 207–243
R. L. Chambers and E. V. Somers, Radiation fin efficiency for one-dimensional heat flow in a circular fin, Trans. ASME 81, 327–329 (1959)
Seymour Lieblein, Analysis of temperature distribution and radiant heat transfer along a rectangular fin of constant thickness, NASA Technical Note D–196
J. G. Bartas and W. H. Sellers, Radiation fin effectiveness, Trans. ASME 82, 73–75 (1960)
J. P. Callinan and W. P. Berggren, Some radiator design criteria for space vehicles, Trans. ASME Series C, Heat Transfer 81, 237–244 (1959)
- J. Ernest Wilkins Jr., Minumum-mass thin fins which transfer heat only by radiation to surroundings at absolute zero, J. Soc. Indust. Appl. Math. 8 (1960), 630–639. MR 127186
- Chen-Ya Liu, On optimum rectangular cooling fins, Quart. Appl. Math. 19 (1961), 72–75. MR 121073, DOI https://doi.org/10.1090/S0033-569X-1961-0121073-2
D. B. Mackay, Design of space powerplants, Prentice-Hall, Inc., Chapter II, 1963
A. R. Shouman, An exact solution for the temperature distribution and heat transfer along a constant cross-sectional area fin with finite equivalent surrounding sink temperature, Proceedings of the 9th Midwestern Mechanics Conference, August 1965
H. M. Hung and F. C. Appl, Heat transfer of thin fins with temperature-dependent thermal properties and internal heat generation, ASME Paper No. 65–WA/HT-50
Max Jakob, Heat transfer, Vol. 1, John Wiley and Sons, Inc., 1955, pp. 207–243
R. L. Chambers and E. V. Somers, Radiation fin efficiency for one-dimensional heat flow in a circular fin, Trans. ASME 81, 327–329 (1959)
Seymour Lieblein, Analysis of temperature distribution and radiant heat transfer along a rectangular fin of constant thickness, NASA Technical Note D–196
J. G. Bartas and W. H. Sellers, Radiation fin effectiveness, Trans. ASME 82, 73–75 (1960)
J. P. Callinan and W. P. Berggren, Some radiator design criteria for space vehicles, Trans. ASME Series C, Heat Transfer 81, 237–244 (1959)
J. E. Wilkins, Jr., Minimum mass thin fins which transfer heat only by radiation to surroundings at absolute zero, J. Soc. Indust. Appl. Math. 8, No. 4, 630–639 (1960)
C. Y. Liu, On optimum rectangular cooling fins, Quart. Appl. Math. 19, 72–75 (1961)
D. B. Mackay, Design of space powerplants, Prentice-Hall, Inc., Chapter II, 1963
A. R. Shouman, An exact solution for the temperature distribution and heat transfer along a constant cross-sectional area fin with finite equivalent surrounding sink temperature, Proceedings of the 9th Midwestern Mechanics Conference, August 1965
H. M. Hung and F. C. Appl, Heat transfer of thin fins with temperature-dependent thermal properties and internal heat generation, ASME Paper No. 65–WA/HT-50
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Article copyright:
© Copyright 1968
American Mathematical Society
