Analysis of convective straight and radial fins with temperature-dependent thermal conductivity using variational iteration method with comparison with respect to finite element analysis

Mathematical Problems in Engineering

Volumn 2007, Issue , 2007, Pages

  Coşkun, Safa Bozkurt ^a   Atay, Mehmet Tarik ^a  

^a NIGDE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; HEAT TRANSFER; ITERATIVE METHODS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

ADOMIAN DECOMPOSITION METHOD (ADM); CONVECTIVE STRAIGHT FINS; VARIATIONAL ITERATION;

THERMAL CONDUCTIVITY;

EID: 38749089422     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2007/42072     Document Type: Article

References (30)

1. J. G. Bartas W. H. Sellers Radiation fin effectiveness. Journal of Heat Transfer, Series C 82 1960 73 75
2. J. E. Wilkins Jr. Minimizing the mass of thin radiating fins. Journal of Aerospace Science 27 1960 145
3. B. V. Karlekar B. T. Chao Mass minimization of radiating trapezoidal fins with negligible base cylinder interaction. International Journal of Heat and Mass Transfer 6 1 1963 33 48
4. R. D. Cockfield Structural optimization of a space radiator. Journal of Spacecraft Rockets 5 1968 10 1240
5. H. Keil Optimization of a central-fin space radiator. Journal of Spacecraft Rockets 5 1968 4 463
6. B. T. F. Chung B. X. Zhang Optimization of radiating fin array including mutualirradiations between radiator elements. ASME Journal of Heat Transfer 113 1991 814
7. C. K. Krishnaprakas K. B. Narayana Heat transfer analysis of mutually irradiating fins. International Journal of Heat and Mass Transfer 46 2003 761
8. R. J. Naumann Optimizing the design of space radiators. International Journal of Thermophys 25 2004 6 1929 1941
9. C. H. Chiu C. K. Chen A decomposition method for solving the convective longitudinal fins with variable thermal conductivity. International Journal of Heat and Mass Transfer 45 10 2002 2067 2075
10. C. H. Chiu C. K. Chen Applications of adomian's decomposition procedure to the analysis of convective-radiative fins. Journal of Heat Transfer 125 2 2003 312 316
11. D. Lesnic P. J. Heggs A decomposition method for power-law fin-type problems. International Communications in Heat and Mass Transfer 31 5 2004 673 682
12. C. Arslantürk Optimum design of space radiators with temperature-dependent thermal conductivity. Applied Thermal Engineering 26 11-12 2006 1149 1157
13. A. Aziz S. M. E. Hug Perturbation solution for convecting fin with variablethermal conductivity. Journal of Heat Transfer 97 1975 300
14. L. T. Yu C. K. Chen Optimization of circular fins with variable thermal parameters. Journal of the Franklin Institute 336 1 1999 77 95
15. P. Razelos K. Imre The optimum dimensions of circular fins with variablethermal parameters. Journal of Heat Transfer 102 1980 420
16. K. Laor H. Kalman Performance and optimum dimensions of different cooling fins with a temperature-dependent heat transfer coefficient. International Journal of Heat and Mass Transfer 39 9 1996 1993 2003
17. C. Arslantürk A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. International Communications in Heat and Mass Transfer 32 6 2005 831 841
18. D. Lesnic L. Elliott The decomposition approach to inverse heat conduction. Journal of Mathematical Analysis and Applications 232 1999 1 82 98
19. D. Lesnic Convergence of adomian's decomposition method: periodic temperatures. Computers & Mathematics with Applications 44 2002 1-2 13 24
20. D. Lesnic P. J. Heggs A decomposition method for power-law fin-type problems. International Communications in Heat and Mass Transfer 31 5 2004 673 682
21. C. H. Chiu C. K. Chen A decomposition method for solving the convective longitudinal fins with variable thermal conductivity. International Journal of Heat and Mass Transfer 45 10 2002 2067 2075
22. C. H. Chiu C. K. Chen Application of the decomposition method to thermal stresses in isotropic circular fins with temperature-dependent thermal conductivity. Acta Mechanica 157 1-4 2002 147 158
23. G. Adomian Solving Frontier Problems in Physics: The Decomposition Method. Kluwer Academic Dordrecht, The Netherlands 1988
24. J. H. He Variational iteration method - a kind of non-linear analytical technique: some examples. International Journal of Nonlinear Mechanics 34 4 1999 699 708
25. M. A. Abdou A. A. Soliman New applications of variational iteration method. Physica D 211 2005 1-2 1 8
26. S. Momani Z. Odibat Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Physics Letter A. 355 4-5 2006 271 279
27. S. Momani S. Abuasad Z. Odibat Variational iteration method for solving nonlinear boundary value problems. Applied Mathematics and Computation 183 2006 2 1351 1358
28. N. H. Sweilam M. M. Khader Variational iteration method for one dimensional nonlinear thermoelasticity. Chaos, Solitons and Fractals 32 2007 1 145 149
29. E. M. Abulwafa M. A. Abdou A. A. Mahmoud Nonlinear fluid flows in pipe-like domain problem using variational-iteration method. Chaos, Solitons and Fractals 32 2007 4 1384 1397
30. S. -Q. Wang J.-H. He Variational iteration method for solving integrodifferentialequations. Physics Letter A 2007