## THERMAL SCIENCE

International Scientific Journal

### 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 through the porous fin in a natural convection environment is presented and the homotopy perturbation method is employed to obtain an approximate solution, which admits a remarkable accuracy.

**KEYWORDS**

PAPER SUBMITTED: 2012-08-12

PAPER REVISED: 2012-09-07

PAPER ACCEPTED: 2012-09-12

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**Issue 5**, PAGES [1303 - 1308]

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- Ganji, D. D., Languri, E. M., Mathematical Methods in Nonlinear Heat transfer, Xlibris Corporation, Bloomington, Ind., USA, 2010
- 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
- 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
- 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
- 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
- Kachapi, S. H., Ganji, D. D., Nonlinear Equations: Analytical Methods and Applications, Springer, New York, USA, 2012
- 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
- 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
- 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
- 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