Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 2, 2009, Pages 489-499

  Domairry, G ^a   Fazeli, M ^a  

^a Noshiravani Fanni University   (Iran)

Author keywords

Adomian's decomposition method (ADM); Fin efficiency; Homotopy analysis method (HAM); Thermal conductivity

Indexed keywords

EFFICIENCY; FINS (HEAT EXCHANGE); HEAT TRANSFER; NONLINEAR EQUATIONS; THERMAL CONDUCTIVITY; THERMAL ENGINEERING;

ADOMIAN DECOMPOSITION METHOD; ANALYSIS METHOD; ENGINEERING PROBLEMS; FIN EFFICIENCY; HEAT TRANSFER EQUATIONS; HOMOTOPY ANALYSE METHOD; HOMOTOPY ANALYSIS; STRAIGHT FINS; TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY;

DIFFERENTIAL EQUATIONS;

EID: 47749091271     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.09.007     Document Type: Article

References (19)

1. Liao SJ. The proposed homotopy analysis technique for the solution of nonlinear problems. Ph.D. thesis, Shanghai Jiao Tong University; 1992.
2. Liao S.J. An approximate solution technique not depending on small parameters: a special example. Int J Non-Linear Mech 303 (1995) 371-380
3. Liao S.J. Boundary element method for general nonlinear differential operators. Eng Anal Bound Elem 202 (1997) 91-99
4. Liao S.J. Int J Non-Linear Mech 34 (1999) 759
5. Liao S.J. Beyond perturbation: introduction to the homotopy analysis method (2003), Chapman & Hall, CRC Press, Boca Raton
6. Liao S.J. J Fluid Mech 488 (2003) 189
7. Liao S.J. Appl Math Comput 147 (2004) 499
8. Liao S.J. Int J Heat Mass Trans 48 (2005) 2529
9. Abbasbandy S. The application of homotopy analysis method to nonlinear equations arising in heat transfer. Phys Lett A 360 (2006) 109-113
10. Tari H., Ganji D.D., and Rostamian M. Approximate solutions of K(2,2), KdV and the modified KdV equations by He's methods and Liao's method. Int J Nonlinear Sci Numer Simul 8 2 (2007) 203-210
11. Kern D.Q., and Kraus D.A. Extended surface heat transfer (1972), McGraw-Hill, New York
12. Arslanturk C. A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Int Commun Heat Mass Trans 32 (2005) 831-841
13. Incropera F.P., and DeWitt D.P. Introduction to heat transfer. 3rd ed. (1996), Wiley, New York p. 114
14. He J.H. Phys Lett A 350 (2006) 87
15. He J.H. Int J Mod Phys B 20 (2006) 1141
16. Domairry G., Ahangari M., and Jamshidi M. Exact and analytical solution for nonlinear dispersive K(m,p) equations using homotopy perturbation method. Phys Lett A 368 3-4 (2007) 266-270
17. Fakhari A, Domairry G, Ebrahimpour E. Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution. Phys Lett A [in press].
18. Allan F.M. Derivation of Adomian decomposition method using the homotopy analysis method. Appl Math Comput 190 1 (2007) 6-14
19. Hayat T., and Sajid M. On analytic solution for thin film flow of a forth grade fluid down a vertical cylinder. Phys Lett A 361 (2007) 316-322