THERMAL SCIENCE

International Scientific Journal

Davood Domairry Ganji

,

Zaman Ziabkhsh Ganji

,

Hosain Domiri Ganji

DETERMINATION OF TEMPERATURE DISTRIBUTION FOR ANNULAR FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY BY HPM

ABSTRACT
In this paper, homotopy perturbation method has been used to evaluate the temperature distribution of annular fin with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. This method is useful and practical for solving the nonlinear heat transfer equation, which is associated with variable thermal conductivity condition. The homotopy perturbation method provides an approximate analytical solution in the form of an infinite power series. The annular fin heat transfer rate with temperature-dependent thermal conductivity has been obtained as a function of thermo-geometric fin parameter and the thermal conductivity parameter describing the variation of the thermal conductivity
KEYWORDS
homotopy perturbation method, numerical method, annular fin, thermal conductivity in heat transfer
PAPER SUBMITTED: 2010-07-03
PAPER REVISED: 2010-09-20
PAPER ACCEPTED: 2010-11-11
DOI REFERENCE: https://doi.org/10.2298/TSCI11S1111G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 1, PAGES [S111 - S115]
REFERENCES
  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
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Determination of temperature distribution for annular fins with temperature dependent thermal conductivity by HPM

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence