Analysis of thermal performance of annular fins with variable thermal conductivity by homotopy analysis method

ARSLANTÜRK C.

Isi Bilimi Ve Teknigi Dergisi-Journal Of Thermal Science And Technology, cilt.30, ss.1-7, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30
  • Basım Tarihi: 2010
  • Dergi Adı: Isi Bilimi Ve Teknigi Dergisi-Journal Of Thermal Science And Technology
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1-7
  • Anahtar Kelimeler: Annular fin, Efficiency, Homotopy analysis method, CONVECTIVE STRAIGHT FINS, HEAT-TRANSFER, EFFICIENCY, OPTIMIZATION
  • Atatürk Üniversitesi Adresli: Evet

Özet

The homotopy analysis method (HAM) is used to analyze the thermal performance of annular fins with temperature-dependent thermal conductivity. Since the HAM algorithm contains a parameter that controls the convergence and accuracy of the solution, its results can be verified internally by calculating the residual error. The HAM solution appears in terms of algebraic expressions which are not only easy to compute but also give highly accurate results covering a wide range of values of the parameters rather than the small values dictated by the perturbation solution. In this work, the fin efficiency of nonlinear annular fins is obtained as a function of thermo-geometric fin parameter, thermal conductivity parameter and radii ratio. The data from the present solutions is correlated for suitable ranges of problem parameters. The resulting correlation equations can assist thermal design engineers for designing of annular fins with temperature-dependent thermal conductivity.