Determination of temperature distribution for annular fins with temperature dependent thermal conductivity by HPM

Thermal Science

Volumn 15, Issue SUPPL., 2011, Pages

  Ganji, Davood Domiri ^a   Ganji, Zaman Ziabkhsh ^b   Ganji, Hosain Domiri ^c  

^a UNIVERSITY OF MAZANDARAN   (Iran)

^b NATIONAL IRANIAN OIL COMPANY   (Iran)

^c ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Annular fin; Homotopy perturbation method; Numerical method; Thermal conductivity in heat transfer

Indexed keywords

FINS (HEAT EXCHANGE); HEAT TRANSFER; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY;

ANNULAR FIN; CONDITION; HEAT TRANSFER EQUATIONS; HOMOTOPIES; HOMOTOPY PERTURBATION METHOD; NONLINEAR HEAT TRANSFER; PERTURBATION METHOD; TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY; THERMAL CONDUCTIVITY IN HEAT TRANSFER; VARIABLE THERMAL CONDUCTIVITY;

NUMERICAL METHODS;

EID: 79955165308     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI11S1111G     Document Type: Article

References (10)

1. Kern, D. Q., Kraus, D. A., Extended Surface Heat Transfer, McGraw-Hill, New York, USA, 1972.
2. Aziz, A., Na, T. Y., Perturbation Methods in Heat Transfer, Hemisphere Publishing Corporation, Washington, DC, USA, 1984.
3. Aziz, A., Enamul Hug, S. M., Perturbation Solution for Convecting Fin with Variable Thermal Conductivity, Journal of Heat Transfer ASME, 97 (1975), pp. 300-301.
4. He, J.-H., The Homotopy Perturbation Method for Nonlinear Oscillators with Discontinuities, Applied Mathematics and Computation, 151 (2004), 1, pp. 287-292.
5. He, J.-H., Homotopy Perturbation Technique, Computer Methods in Applied Mechanics and Engineering, 17 (1999), 8, pp. 257-262.
6. 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 (2008), 4, pp. 415-422.
7. Ganji, Z. Z., Ganji, D. D., Esmaeilpour, M., Study on Nonlinear Jeffery-Hamel Flow by He's Semi-Analytical Methods, Computers and Mathematics with Applications, 58 (2009), 11-12, pp. 2107-2116.
8. Yildirim, A., Homotopy Perturbation Method for the Mixed Volterra-Fredholm Integral Equations, Chaos, Solitons & Fractals, 42 (2009), 5, pp. 2760-2764.
9. Donald Ariel, P., Homotopy Perturbation Method and the Natural Convection Flow of a Third Grade Fluid through a Circular Tube, Nonlinear Science Letters A, 1 (2010), 3, pp. 43-52.
10. Arslanturk, C., Correlation Equations for Ooptimum Design of Annular Fins with Temperature Dependent Thermal Conductivity, Heat and Mass Transfer, 45 (2009), 4, pp. 519-525.