THERMAL SCIENCE
International Scientific Journal
EFFECT OF TEMPERATURE-DEPENDENCY OF SURFACE EMISSIVITY ON HEAT TRANSFER USING THE PARAMETERIZED PERTURBATION METHOD
ABSTRACT
Knowledge of the temperature dependence of the physical properties such surface emissivity, which controls the radiative problem, is fundamental for determining the thermal balance of many scientific and industrial processes. The current work studies the ability of a strong analytical method called parameterized perturbation method (PPM), which unlike classic perturbation method do not need small parameter, for nonlinear heat transfer equations. The results are compared with the numerical Runge-Kutta method showed good Agreement.
KEYWORDS
PAPER SUBMITTED: 2010-07-01
PAPER REVISED: 2010-09-04
PAPER ACCEPTED: 2010-11-11
THERMAL SCIENCE YEAR
2011, VOLUME
15, ISSUE
Supplement 1, PAGES [S123 - S125]
- Siegel, R., Howell, J. R., Thermal Radiation Heat Transfer, Hemisphere Publishing Corporation, New York, USA, 1992
- He, J. H., Homotopy Perturbation Method for Bifurcation on Nonlinear Problems, Int. J. Nonlinear Sci. Numer. Simul, 6 (2005), 2, pp. 207-208
- He, J. H., A Review on Some New Recently Developed Nonlinear Analytical Techniques, Int. J. Non-linear Sci. Numer. Simul, 1 (2000), 1, pp. 51-70
- Shou, D. H., He, J.-H., Application of Parameter-Expanding Method to Strongly Nonlinear Oscillators, Int. J. Nonlinear. Sci. Numer. Simul, 8 (2007), 1, pp. 121-124
- Ganji, D. D., et al., Analytical Solution of the Magneto-Hydrodynamic Flow over a Nonlinear Stretching Sheet, Mod. Phys. Lett., B, 23 (2009), 20-21, pp. 2541-2556
- Bararnia, H., et al., HPM-Pade' Method on Natural Convection of Darcian Fluid about a Vertical Full Cone Embedded in Porous Media Prescribed Wall Temperature, Journal of Porous Media, In press
- Jalaal, M., Ganji, D. D., On Unsteady Rolling Motion of Spheres in Inclined Tubes Filled with Incompressible Newtonian Fluids, Advanced Powder Technology, (2010), doi:10.1016/j.apt.2010.03.011
- Jalaal, M., Ganji, D. D., Ahmadi, G., Analytical Investigation on Acceleration Motion of a Vertically Falling Spherical Particle in Incompressible Newtonian Media, Advanced Powder Technology, (2009), doi:10.1016/j.apt.2009.12.010
- Jalaal, M., Ganji, D. D., An Analytical Study on Motion of a Sphere Rolling Down an Inclined Plane Submerged in a Newtonian Fluid, Powder Technology, 198 (2010), 1, pp. 82-92
- He, J.-H., Recent Developments in Asymptotic Methods for Nonlinear Ordinary Equations, Nonlinear Sci. Numer. Simul., 4 (1999), pp. 81-83