A decomposition solution for fins with temperature dependent surface heat flux

International Journal of Heat and Mass Transfer

Volumn 48, Issue 9, 2005, Pages 1819-1824

  Chang, Min Hsing ^a  

^a YUNG TA INSTITUTE OF TECHNOLOGY AND COMMERCE   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT FLUX; HEAT TRANSFER; HEAT TRANSFER COEFFICIENTS; THERMAL EFFECTS;

FIN EFFICIENCY; FIN TIP TEMPERATURE; HEAT TRANSFER RATES; POWER-LAW FUNCTIONS;

FINS (HEAT EXCHANGE);

FIN; HEAT FLUX;

EID: 17644393088     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2004.07.049     Document Type: Article

References (22)

1. Q.D. Kern, and D.A. Kraus Extended surface heat transfer 1972 McGraw-Hill New York
2. F.S. Lai, and Y.Y. Hsu Temperature distribution in a fin partially cooled by nucleate boiling AIChE J. 13 1967 817 821
3. K.W. Haley, J.W. Westwater, Boiling heat transfer from single fins, in: Proceedings of the 3rd International Heat transfer Conference, Chicago, vol. 3, 1966, pp. 245-253
4. B.N. Mehta, and R. Aris A note on a form of Emden-Fowler equation J. Math. Anal. Appl. 36 1971 611 621
5. B.N. Mehta, and R. Aris Communications on the theory of diffusion and reaction - VII: The isothermal pth order reaction Chem. Eng. Sci. 26 1971 1699 1712
6. H.C. Ünal Determination of the temperature distribution in an extended surface with a non-uniform heat transfer coefficient Int. J. Heat Mass Transfer 28 1986 2279 2284
7. H.C. Ünal A simple method of dimensioning straight fins for nucleate pool boiling Int. J. Heat Mass Transfer 29 1987 640 644
8. H.C. Ünal An analytic study of boiling heat transfer from a fin Int. J. Heat Mass Transfer 30 1987 341 349
9. H.C. Ünal The effect of the boundary condition at a fin tip on the performance of the fin with and without internal heat generation Int. J. Heat Mass Transfer 31 1988 1483 1496
10. A.K. Sen, and S. Trinh An exact solution for the rate of heat transfer from a rectangular fin governed by a power law type temperature dependence Int. J. Heat Mass Transfer 108 1986 457 459
11. S.P. Liaw, and R.H. Yeh Fins with temperature dependent surface heat flux - I: Single heat transfer mode Int. J. Heat Mass Transfer 37 1994 1509 1515
12. S.P. Liaw, and R.H. Yeh Fins with temperature dependent surface heat flux - II: Multi-boiling heat transfer Int. J. Heat Mass Transfer 37 1994 1517 1524
13. I.N. Dul'kin, and G.I. Garas'ko Analytical solutions of 1D heat conduction problem for a single fin with temperature dependent heat transfer coefficient - I: Closed-form inverse solution Int. J. Heat Mass Transfer 45 2002 1895 1903
14. I.N. Dul'kin, and G.I. Garas'ko Analytical solutions of 1D heat conduction problem for a single fin with temperature dependent heat transfer coefficient - II: Recurrent direct solution Int. J. Heat Mass Transfer 45 2002 1905 1914
15. G. Adomian On the solution of algebraic by the decomposition method J. Math. Anal. Appl. 105 1985 141 166
16. G. Adomian, and R. Rach On composite nonlinearities and the decomposition method J. Math. Anal. Appl. 113 1986 504 509
17. G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1988 501 544
18. G. Adomian Nonlinear stochastic system theory and application to physics 1988 Kluwer Academic Publisher Dordrecht
19. A. Re'paci Nonlinear dynamical system: on the accuracy of Adomian's decomposition method Appl. Math. Lett. 3 1990 35 39
20. G. Adomian Solving frontier problems modeled by nonlinear partial differential equations Comput. Math. Appl. 22 1991 91 94
21. G. Adomian Solving frontier problems in physics: the decomposition method 1994 Kluwer Academic Publisher Dordrecht
22. C.H. Chiu, and C.K. Chen A decomposition method for solving the convective longitudinal fins with variable thermal conductivity Int. J. Heat Mass Transfer 45 2002 2067 2075