Highly nonlinear temperature-dependent fin analysis by variational iteration method

Heat Transfer Research

Volumn 41, Issue 2, 2010, Pages 155-165

  Fouladi, F ^a   Hosseinzadeh, E ^b   Barari, Amin ^c   Domairry, Ganji ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c AALBORG UNIVERSITY   (Denmark)

Author keywords

Conduction; Convection; Fin; Heat transfer; Radiation; Variational iteration method

Indexed keywords

APPROXIMATE ANALYTICAL METHODS; APPROXIMATE SOLUTION; CONDUCTION; EXACT SOLUTION; FIN ANALYSIS; FIN HEAT TRANSFER; HIGHLY NONLINEAR; INHERENT LIMITATIONS; NUMERICAL SOLUTION; THERMAL CHARACTERISTICS; VARIATIONAL ITERATION METHOD;

FINS (HEAT EXCHANGE); HEAT EXCHANGERS; HEAT TRANSFER; LINEAR EQUATIONS; NONLINEAR EQUATIONS;

ITERATIVE METHODS;

EID: 77951790468     PISSN: 10642285     EISSN: None     Source Type: Journal    
DOI: 10.1615/HeatTransRes.v41.i2.40     Document Type: Article

References (19)

1. Kern, Q. D. and Kraus, D. A. Extended Surface Heat Transfer, McGraw-Hill, New York, 1972.
2. Lai, F. S. and Hsu, Y. Y. Temperature distribution in a fin partially cooled by nucleate boiling, AIChE J., 1967, Vol.13, pp. 817-821.
3. Haley, K. W. and Westwater, J. W. Boiling heat transfer from single fins, in: Proc. 3rd Int. Heat Transfer Conf., Chicago, Vol.3, pp. 245-253, 1966.
4. Ünal, H. C. Determination of the temperature distribution in an extended surface with a non-uniform heat transfer coefficient, Int. J. Heat Mass Transfer, 1986, Vol.28, pp. 2279-2284.
5. Ünal, H. C. A simple method of dimensioning straight fins for nucleate pool boiling, Int. J. Heat Mass Transfer, 1987, Vol.29, pp. 640-644.
6. Ünal, H. C. An analytic study of boiling heat transfer from a fin, Int. J. Heat Mass Transfer, 1987, Vol.30, pp. 341-349. (Pubitemid 17552637)
7. 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, 1988, Vol.31, pp. 1483-1496.
8. 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, Int. J. Heat Mass Transfer, 1986, Vol.108, pp. 457-459.
9. Liaw, S. P. and Yeh, R. H. Fins with temperature dependent surface heat flux-I: Single heat transfer mode, Int. J. Heat Mass Transfer, 1994, Vol.37, pp. 1509-1515.
10. Liaw, S. P. and Yeh, R. H. Fins with temperature dependent surface heat flux-II: Multi-boiling heat transfer, Int. J. Heat Mass Transfer, 1994, Vol.37, pp. 1517-1524.
11. Dulkin, I. N. and Garasko, G. I. 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, 2002, Vol.45, pp. 1895-1903.
12. Dulkin, I. N. and Garasko, G. I. 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, 2002, Vol.45, pp. 1905-1914.
13. Min-Hsing Chang, A decomposition solution for fins with temperature dependent surface heat flux, Int. J. Heat Mass Transfer, 2005, Vol.48, pp. 1819-1824.
14. He, J. H. Variational iteration method - a kind of non-linear analytical technique: some examples, Int. J. Nonlinear Mech., 1999, Vol.34, No.4, pp. 699-708.
15. He, J. H. Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comp., 2000, Vol.114, pp. 115-123.
16. Wylie, C. Ray and Barrett, Louis C. Advanced Engineering Mathematics, 5th ed., McGraw-Hill, London, 1989.
17. Ganji, D. D. The application of Hes homotopy perturbation method to nonlinear equations arising in heat transfer, Phys. Lett. A, 2006, Vol.355, pp. 337-341.
18. Barari, A., Omidvar, M., Ganji, D. D., and Tahmasebipoor, A. An approximate solution for boundary value problems in structural engineering and fluid mechanics, J. Math. Problems Eng., 2008, Article ID 394103, pp. 1-13.
19. Barari, A., Omidvar, M., Ghotbi, Abdoul R., and Ganji, D. D. Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations, Acta Applicanda Mathematicae, 2008, Vol.104, pp. 161-171.