Application of homotopy analysis method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity

Mathematics and Computers in Simulation

Volumn 79, Issue 2, 2008, Pages 189-200

  Inc, Mustafa ^a  

^a FIRAT UNIVERSITY   (Turkey)

Author keywords

Fin efficiency; Homotopy analysis method; Variable thermal conductivity

Indexed keywords

ATMOSPHERICS; MEATS; THERMAL CONDUCTIVITY; THERMAL INSULATING MATERIALS; THERMOANALYSIS; THERMODYNAMIC PROPERTIES;

FIN EFFICIENCY; HOMOTOPY ANALYSIS METHOD; VARIABLE THERMAL CONDUCTIVITY;

FINS (HEAT EXCHANGE);

EID: 51349162297     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2007.11.009     Document Type: Article

References (33)

1. Abbasbandy S. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KDV equation. Phys. Lett. A 361 (2007) 478-483
2. Abbasbandy S. The application of homotopy analysis method to nonlinear equations arising in heat transfer. Phys. Lett. A 361 (2007) 478-483
3. Abbasbandy S. Homotopy analysis method for heat radiation equations. Int. Commun. Heat Mass Transfer 34 3 (2007) 380-387
4. Arslantürk C. A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Int. Commun. Heat Mass Transfer 32 (2005) 831-841
5. Ayub M., Rasheed A., and Hayat T. Exact flow of a third grade fluid past a porous plate using homotopy analysis method. Int. J. Eng. Sci. 41 (2003) 2091-2103
6. Aziz A., and Enamul Hug S.M. Perturbation solution for convecting fin with variable thermal conductivity. J. Heat Transfer 97 (1975) 300-301
7. Bouaziz M.N., Recnak S., Hanini S., Bal Y., and Bal K. Etude des tranferts de chaleur non lineaires dans les ailettes longitudinales, numerical study of nonlinear heat transfer in longitudinal fins. Int. J. Thermal Sci. 40 (2001) 843-857
8. Chiu C.H., and Chen C.K. A decomposition method for solving the convective longitudinal fins with variable thermal conductivity. Int. J. Heat Mass Transfer 45 (2002) 2067-2075
9. Hayat T., Abbas Z., Sajid M., and Asghar S. The influence of thermal radiation on MHD flow of a second grade fluid. Int. J. Heat Mass Transfer 50 (2007) 931-941
10. Hayat T., Khan M., and Ayub M. On the explicit analytic solutions of an Oldroyd 6-constant fluid. Int. J. Eng. Sci. 42 (2004) 123-135
11. Hayat T., Khan M., Ayub M., and Conette. Poiseuille flows of an Oldroyd 6-constant with magnetic field. J. Math. Anal. Appl. 298 (2004) 225-244
12. Hayat T., Khan M., Sajid M., and Ayub M. Steady flow of an oldroyd 8-constant fluid between coaxial cylinders in a porous medium. J. Porous Media 9 (2006) 709-722
13. Hayat T., and Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet. Int. J. Heat Mass Transfer 50 (2007) 75-84
14. Hayat T., and Sajid M. On analytic solution for thin film of a fourth grade fluid down a vertical cylinder. Phys. Lett. A 36 (2007) 316-322
15. Kern D.Q., and Kraus D.A. Extended Surface Heat Transfer (1972), McGraw-Hill, New York
16. 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 (1996) 1993-2003
17. Lesnic D., and Heggs P.J. A decomposition method for power-law fin-type problems. Int. Commun. Heat Mass Transfer 31 (2004) 673-682
18. Liao S.J. An explicit totally analytic approximation of Blasius' viscous flow problems. Int. J. Non-linear Mech. 34 (1999) 759-778
19. Liao S.J. Beyond Perturbation: Introduction to the Homotopy Analysis Method (2003), Chapman and Hall/CRC Press, Boca Raton
20. Liao S.J. On the analytic solution of magnetohidrodynamic flows non-Newtonian fluids over a stretching sheet. J. Fluid Mech. 488 (2003) 189-212
21. Liao S.J. On the homotopy analysis method for nonlinear problems. Appl. Math. Comput. 147 (2004) 499-513
22. Liao S.J. A new branch of solutions of boundary-layers flows over an impermeable stretched plate. Int. J. Heat Mass Transfer 48 (2005) 2529-2539
23. Liao S.J., and Pop I. Explicit analytic solution for similarity boundary layer equations. Int. J. Heat Mass Transfer 46 (2004) 1855-1860
24. Liao S.J., and Tan Y. A general approach to obtain series solutions of nonlinear differential equations. Stud. Appl. Math. 119 (2007) 254-297
25. Rajabi A. Homotopy perturbation method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Phys. Lett. A 364 (2007) 33-37
26. Razelos P., and Imre K. The optimum dimension of circular fins with variable thermal parameters. J. Heat Transfer 102 (1980) 420-425
27. Sajid M., Hayat T., and Ashgar S. On the analytic solution of the steady flow of a fourth grade fluid. Phys. Lett. A 355 (2006) 18-24
28. Sajid M., Hayat T., and Asghar S. Non-similar analytic solution for MHD flow and heat transfer in a third-order fluid over a stretching sheet. Int. J. Heat Mass Transfer 50 (2007) 1723-1736
29. Sajid M., Hayat T., and Ashgar S. Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Nonlinear Dyn. 50 1-2 (2007) 27-35
30. M. Sajid, T. Hayat, Non-similar series solution for boundary layer flow of a third order fluid over stretching sheet, Appl. Math. Comput. 189 (2007) 1576-1585.
31. Sohrabpour S., and Razani A. Optimization of convective fin with temperature-dependent thermal parameters. J. Franklin Inst. 330 (1993) 37-49
32. Tan Y., and Liao S.J. Series solution of three-dimensionalunsteady laminar viscous flow due to a stretching surface in a rotating fluid. ASME J. Appl. Math. 74 5 (2007) 1005-1011
33. Yu L.T., and Chen C.K. Application of Taylor transformation to optimize rectangular fins with variable thermal parameters. Appl. Math. Model. 22 (1998) 11-21