Analysis of the 1-D heat conduction problem for a single fin with temperature dependent heat transfer coefficient: Part I - Extended inverse and direct solutions

International Journal of Heat and Mass Transfer

Volumn 51, Issue 13-14, 2008, Pages 3309-3324

  Dul'kin, I N ^a   Garas'ko, G I ^a  

^a All Russian Electrical Engineering Institute   (Russian Federation)

Author keywords

1 D heat conduction problem; Fin tip heat loss; Inverse and direct solutions; Relations between fin parameters; Single fin; Temperature dependent HTC

Indexed keywords

HEAT TRANSFER COEFFICIENTS; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION; THERMAL EFFECTS;

FIN TIP HEAT LOSS; SINGLE FIN; TEMPERATURE DEPENDENT HTC;

HEAT CONDUCTION;

HEAT CONDUCTION; HEAT TRANSFER COEFFICIENTS; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION; THERMAL EFFECTS;

EID: 44649112583     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2007.11.027     Document Type: Article

References (23)

1. Dul'kin I.N., and Garas'ko G.I. Analytical solutions of 1-D heat conduction problem for a single fin with temperature dependent heat transfer coefficient - I. Closed-form inverse solution. Int. J. Heat Mass Transfer 45 2 (2002) 1895-1903
2. Dul'kin I.N., and Garas'ko G.I. Analytical solutions of the 1-D heat conduction problem for a single fin with temperature dependent heat transfer coefficient - II. Recurrent direct solution. Int. J. Heat Mass Transfer 45 2 (2002) 1905-1914
3. Kraus A.D. Sixty-five years of extended surface technology. Appl. Mech. Rev. 41 9 (1988) 321-364
4. Roizen L.I., and Dul'kin I.N. Teplovoy Raschjot Orebrennih Powerhnostey. Thermal Design of the Finned Surfaces (1977), Energiya Pub., Moscow (in Russian)
5. Kraus A.D., Aziz A., and Welty J. Extended Surface Heat Transfer (2001), Wiley, New York
6. Cumo M., Lopez S., and Pinchera G.C. Numerical calculation of extended surface efficiency. Chem. Eng. Prog. Symp. Ser. 61 (1965) 225-233
7. K.W. Haley, J.W. Westwater, Boiling heat transfer from single fins, in: Proceedings of the Third International Heat Transfer Conference, Chicago, vol. 3, 1966, pp. 245-253.
8. Lai F.S., and Hsu Y.Y. Temperature distribution in a fin partially cooled by nucleate boiling. AIChE J. 13 4 (1967) 817-821
9. Dul'kin I.N., Rakushina N.I., Roizen L.I., and Fastovskiy V.G. Heat transfer with water and freon-113 boiling on a nonisothermal surface. Heat Transfer - Soviet Res. 3 (1971) 61-69
10. Ünal H.C. Determination of the temperature distribution in an extended surface with a non-uniform heat transfer coefficient. Int. J. Heat Mass Transfer 28 12 (1985) 2279-2284
11. Ünal H.C. A simple method of dimensioning straight fins for nucleate pool boiling. Int. J. Heat Mass Transfer 29 4 (1986) 640-644
12. Ünal H.C. An analytic study of boiling heat transfer from a fin. Int. J. Heat Mass Transfer 30 2 (1987) 341-349
13. Ünal H.C. 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 12 (1988) 1483-1496
14. Sen A.K., and Trinh S. An exact solution for the rate of heat transfer from a rectangular fin governed by a power law-type temperature dependence. ASME J. Heat Transfer 108 2 (1986) 457-459
15. Yeh R.H., and Liaw S.P. An exact solution for thermal characteristics of fins with power-law heat transfer coefficient. Int. Commun. Heat Mass Transfer 17 3 (1990) 317-330
16. Liaw S.P., and Yeh R.H. Fins with temperature dependent surface heat flux-I. Single heat transfer mode. Int. J. Heat Mass Transfer 37 12 (1994) 1509-1515
17. Liaw S.P., and Yeh R.H. Fins with temperature dependent surface heat flux-II. Multi-boiling heat transfer. Int. J. Heat Mass Transfer 37 12 (1994) 1517-1524
18. Laor K., and Kalman H. Performance and optimum dimensions of different cooling fins with a temperature dependent heat transfer coefficient. Int. J. Heat Mass Transfer 39 92 (1996) 1993-2003
19. Mokheimer E.M.A. Performance of annular fins with different profiles subject to variable heat transfer coefficient. Int. J. Heat Mass Transfer 45 4 (2002) 3631-3642
20. Mokheimer E.M.A. Heat transfer from extended surfaces subject to variable heat transfer coefficient. Heat Mass Transfer 39 2 (2003) 131-138
21. Razelos P., and Krikkis R.N. On the optimum thermal design of individual longitudinal fins with rectangular profile. Int. Commun. Heat Mass Transfer 30 3 (2003) 349-358
22. I.N. Dul'kin, Heat transfer with liquid boiling on a fin, Cand. Tech. Sci. Thesis, Moscow Power Engineering Institut (MPEI), Moscow, 1974 (in Russian).
23. I.N. Dul'kin, G.I. Garas'ko, Analysis of the 1-D heat conduction problem for a single fin with temperature dependent heat transfer coefficient - II. Optimum characteristics of straight plate and cylindrical pin fins, Int. J. Heat Mass Transfer, this issue.