SEMI-ANALYTICAL METHOD FOR SOLVING NON-LINEAR EQUATION ARISING OF NATURAL CONVECTION POROUS FIN

Abstract

In the present study, the problem of non-linear model arising in heat transfer hrough the porous fin in a natural convection environment is presented and the omotopy perturbation method is employed to obtain an approximate solution, hich admits a remarkable accuracy.

Dates

  • Submission Date2012-08-12
  • Revision Date2012-09-07
  • Acceptance Date2012-09-12

DOI Reference

10.2298/TSCI1205303P

References

  1. Ganji, D. D., Kachapi, S. H. H., Analytical and Numerical Method in Engineering and Applied Science, Progress in Nonlinear Science, 3 (2011), pp. 1-579
  2. Ganji, D. D., Kachapi, S. H. H., Analysis of Nonlinear Equations in Fluids, Progress in Nonlinear Science, 2 (2011), pp. 1-293
  3. He, J.-H., A Coupling Method of Homotopy Technique and Perturbation Technique for Nonlinear Problems, Internat. J. Non-Linear Mech., 35 (2000), 1, pp. 37-43
  4. He, J.-H., Application of Homotopy Perturbation Method to Nonlinear Wave Equations, Chaos, Solitons Fractals., 26 (2005), 3, pp. 695-700
  5. He, J.-H., Homotopy Perturbation Technique, Comp. Meth. App. Mech. Eng., 178 (1999), 3-4, pp. 257-262
  6. He, J.-H., A note on the homotopy perturbation method, Thermal Science, 14 (2010), 2, pp. 565-568
  7. Ganji, D. D., Sadighi, A., Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations, J. Comput. Appl. Math., 207 (2007), 1, pp. 24-34
  8. Ganji, D. D., Jannatabadi, M., Mohseni, E., Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM, J. Comput. Appl. Math., 207 (2007), 1, pp. 35-45
  9. He, J.-H., Variational iteration method - a kind of nonlinear analytical technique: Some examples, International Journal of Non-linear Mechanics, 34 (1999), 4, pp. 699-708
  10. He, J.-H., Approximate analytical solution for seepage with fractional derivatives in porous media, Computational Methods in Applied Mechanics and Engineering, 167 (1998), 1-2, pp. 57-68
  11. Ganji, D. D., Languri, E. M., Mathematical Methods in Nonlinear Heat transfer, Xlibris Corporation, Bloomington, Ind., USA, 2010
  12. Hedayati, F., et al., An Analytical Study on a Model Describing Heat Conduction in Rectangular Radial Fin with Temperature-Dependent Thermal Conductivity, International Journal of Thermophysics, 33 (2012), 6, pp. 1042-1054
  13. Hamidi, S. M., et al., A novel and developed approximation for motion of a spherical solid particle in plane coquette fluid flow, Advanced Powder Technology, 2012, in press
  14. Ganji, D. D., Rahimi. M., Rahgoshay. M., 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 & Fluid Flow, 22 (2012) 2, pp. 263-272
  15. Khaki. M., Taeibi-Rahni. M., Ganji, D. D., Analytical solution of electro-osmotic flow in rectangular Nano-channels by combined Sine transform and MHPM, Journal of Electrostatics, 70 (2012) 5, pp. 451-456
  16. Kachapi, S. H., Ganji, D. D., Nonlinear Equations: Analytical Methods and Applications, Springer, New York, USA, 2012
  17. Sheikholeslami. M., et al., Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method, Applied Mathematics and Mechanics, 33 (2012) 1, pp. 25-36
  18. Ganji, D. D, The application of He's Homotopy Perturbation Method to nonlinear equation arising in heat transfer, Phys. Letts., 355 (2006), pp. 337-341
  19. Ganji, D. D, Rajabi, A. Assessment of Homotopy Perturbation and Perturbation Method in heat radiation equations, Int. Com. Heat and Mass Trans., 33 (2006), 3, pp. 391-400
  20. Ganji, D. D. A Semi-Analytical Technique for Non-Linear Settling Particle Equation of Motion, Journal of Hydro-Environment Research, 6 (2012), pp. 323-327
Volume 16, Issue 5, Pages1303 -1308