A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity

Arslanturk C.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, cilt.32, sa.6, ss.831-841, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.icheatmasstransfer.2004.10.006
  • Dergi Adı: INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.831-841
  • Anahtar Kelimeler: Adomian decomposition method, variable thermal conductivity, extended surface, fin efficiency, OPTIMUM DIMENSIONS, HEAT-TRANSFER, CONVERGENCE
  • Atatürk Üniversitesi Adresli: Evet

Özet

The Adomian decomposition method (ADM) has been used to evaluate the efficiency of straight fins with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. The method is useful and practical for solving the nonlinear heat diffusion equation, which is associated with variable thermal conductivity condition. The ADM provides an analytical solution in the form of an infinite power series. The fin efficiency of the straight fins 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. It has been observed that the thermal conductivity parameter has a strong influence over the fin efficiency. The data from the present solutions has been correlated for a wide range of thermo-geometric fin parameter and the thermal conductivity parameter. The resulting correlation equations can assist thermal design engineers for designing of straight fins with temperature-dependent thermal conductivity. (c) 2005 Elsevier Ltd. All rights reserved.