Solution of Temperature Distribution in a Radiating Fin Using Homotopy Perturbation Method

作者: MJ Hosseini , M Gorji , M Ghanbarpour , Saad A Ragab

DOI: 10.1155/2009/831362

关键词:

摘要: Radiating extended surfaces are widely used to enhance heat transfer between primary surface and the environment. The present paper applies homotopy perturbation obtain analytic approximation of distribution temperature in fin radiating, which is compared with results obtained by Adomian decomposition method (ADM). Comparison reveals that (HPM) more effective easy use.

参考文章(26)
JI-HUAN HE, SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS International Journal of Modern Physics B. ,vol. 20, pp. 1141- 1199 ,(2006) , 10.1142/S0217979206033796
D. Lesnic, P.J. Heggs, A decomposition method for power-law fin-type problems International Communications in Heat and Mass Transfer. ,vol. 31, pp. 673- 682 ,(2004) , 10.1016/S0735-1933(04)00054-5
Ching-Huang Chiu, Cha'o-Kuang Chen, A decomposition method for solving the convective longitudinal fins with variable thermal conductivity International Journal of Heat and Mass Transfer. ,vol. 45, pp. 2067- 2075 ,(2002) , 10.1016/S0017-9310(01)00286-1
J. G. Bartas, W. H. Sellers, Radiation Fin Effectiveness Journal of Heat Transfer. ,vol. 82, pp. 73- 75 ,(1960) , 10.1115/1.3679882
G Adomian, A review of the decomposition method in applied mathematics Journal of Mathematical Analysis and Applications. ,vol. 135, pp. 501- 544 ,(1988) , 10.1016/0022-247X(88)90170-9
Ji-Huan He, The homotopy perturbation method for nonlinear oscillators with discontinuities Applied Mathematics and Computation. ,vol. 151, pp. 287- 292 ,(2004) , 10.1016/S0096-3003(03)00341-2
Ji-Huan He, Homotopy perturbation method: a new nonlinear analytical technique Applied Mathematics and Computation. ,vol. 135, pp. 73- 79 ,(2003) , 10.1016/S0096-3003(01)00312-5
R. J. Naumann, Optimizing the Design of Space Radiators International Journal of Thermophysics. ,vol. 25, pp. 1929- 1941 ,(2004) , 10.1007/S10765-004-7747-0
Ji-Huan He, Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons & Fractals. ,vol. 26, pp. 695- 700 ,(2005) , 10.1016/J.CHAOS.2005.03.006