Determining the fin efficiency of convective straight fins with temperature dependent thermal conductivity by using Homotopy Perturbation Method

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 22, Issue 2, 2012, Pages 263-272

  Ganji, D D ^a   Rahimi, M ^a   Rahgoshay, M ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Fin efficiency; Homotopy Perturbation Method (HPM); Thermal conductivity

Indexed keywords

ADOMIAN'S DECOMPOSITION METHOD; DESIGN/METHODOLOGY/APPROACH; ENGINEERING PROBLEMS; EXACT SOLUTION; EXPLICIT SOLUTIONS; FIN EFFICIENCY; FIN PARAMETERS; HEAT TRANSFER EQUATIONS; HOMOTOPY PERTURBATION METHOD (HPM); NONLINEAR DIFFERENTIAL EQUATION; NUMBER OF ITERATIONS; NUMERICAL RESULTS; STRAIGHT FINS; TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY;

DIFFERENTIAL EQUATIONS; EFFICIENCY; FINS (HEAT EXCHANGE); FORCED CONVECTION; HEAT TRANSFER COEFFICIENTS;

THERMAL CONDUCTIVITY;

EID: 84858985531     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615531211199872     Document Type: Article

References (23)

1. Arslanturk, C. A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity International Communications in Heat and Mass Transfer 32 2005 831-41 (Pubitemid 40621236)
2. Beléndez, A., Beléndez, T., Márquez, A., Neipp, C. Application of He's homotopy perturbation method to conservative truly nonlinear oscillators Chaos, Solitons & Fractals 37 3 2008 770-80 (Pubitemid 351335365)
3. Ganj, D.D. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer Physics Letters A 355 4/5 2006 337-41
4. Ganji, D.D., Rajabi, A. Assessment of homotopy-perturbation and perturbation methods in heat radiation equations International Communications in Heat and Mass Transfer 33 3 2006 391-400 (Pubitemid 43264379)
5. Ganji, D.D., Sadighi, A. Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations International Journal of Nonlinear Science and Numerical Simulation 7 4 2006 411-18 (Pubitemid 44433692)
6. Ganji, D.D., Afrouzi, G.A., Talarposhti, R.A. Application of variational iteration method and homotopy-perturbation method for nonlinear heat diffusion and heat transfer equations Physics Letters A 368 6 2007 450-17
7. Ganji, D.D., Hosseini, M.J., Shayegh, J. Some nonlinear heat transfer equations solved by three approximate methods International Communications in Heat and Mass Transfer 34 8 2007 1003-16 (Pubitemid 47244974)
8. Ganji, Z.Z., Ganji, D.D. Approximate solutions of thermal boundary-layer problems in a semi-infinite flat plate by using He's homotopy perturbation method International Journal of Nonlinear Sciences and Numerical Simulation 9 4 2008 415-22
9. He, J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media J. Comput. Math. Appl. Mech. Eng 167 1/2 1998 57-68
10. He, J.H. A review on some new recently developed nonlinear analytical techniques International Journal of Non-linear Science and Numerical Simulation 1 2000 51-70
11. He, J.H. Modified Lindstedt-Poincare methods for some non-linear oscillations: part III: double series expansion International Journal of Non-linear Science and Numerical Simulation 37 2 2001 317-20
12. He, J.H. Linearized perturbation technique and its applications to strongly nonlinear oscillators Computers & Mathematics with Applications 45 1/3 2003 1-8
13. He, J.H. Homotopy perturbation method for bifurcation on nonlinear problems International Journal of Non-linear Science and Numerical Simulation 6 2005 207-8
14. He, J.H. Homotopy pertubation method for solving boundary problems Physics Letters A 350 1/2 2006 87-8
15. He, J.H. An elementary introduction to the homotopy perturbation method Computers & Mathematics with Applications 57 3 2009 410-12
16. He, J.H., Lee, E.W.M. New analytical methods for cleaning up the solution of nonlinear equations Computers & Mathematics with Applications 58 11/12 2009 2081-3
17. Incropera, F.P., DeWitt, D.P. Introduction to Heat Transfer Wiley New York, NY 1996 114 3rd ed.
18. Kern, D.Q., Kraus, D.A. Extended Surface Heat Transfer McGraw-Hill New York, NY 1972
19. Rajabi, A., Ganji, D.D., Taherian, H. Application of homotopy perturbation method in nonlinear heat conduction and convection equations Physics Letters A 360 4/5 2007 570-3 (Pubitemid 44791767)
20. Siddiqui, A.M., Zeb, A., Ghori, Q.K., Benharbit, A.M. Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates Chaos, Solitons & Fractals 36 1 2008 182-92 (Pubitemid 47576650)
21. Tari, H., Ganji, D.D., Rostamian, M. Approximate solutions of K(2,2), KdV and the modified KdV equations by He's methods and Liao's method International Journal of Nonlinear Sciences and Numerical Simulation 8 2007 203-11
22. Zhang, B.G., Li, S.Y., Liu, Z. Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations Physics Letters A 372 11 2008 1867-72
23. Zhang, L.N., He, J.H. Homotopy perturbation method for the solution of the electrostatic potential differential equation Mathematical Problems in Engineering 2006 Article ID 83878