Optimization of straight fins with a step change in thickness and variable thermal conductivity by homotopy perturbation method

ARSLANTÜRK C.

Isi Bilimi Ve Teknigi Dergisi-Journal Of Thermal Science And Technology, cilt.30, ss.9-19, 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.9-19
  • Anahtar Kelimeler: Fin, Homotopy perturbation method, Optimization, Variable conductivity, PERFORMANCE ANALYSIS
  • Atatürk Üniversitesi Adresli: Evet

Özet

For the better utilization of fin material, it is proposed a modified geometry of new fin with a step change in thickness (SF) in the literature. In the present paper, the thermal analysis and optimization of convective straight fins with a step change in thickness and temperature-dependent thermal conductivity have been addressed. Temperature distribution within the fin has been evaluated using homotopy perturbation method (HPM) which provides an analytical solution in the form of an infinite power series. The optimum geometry which maximizes the heat transfer rate for a given fin volume has been found by using the data from the solution. It has been observed that a SF is the better choice for transferring rate of heat in comparison with the flat fins for the same fin volume and identical thermal conditions. The derived condition of optimality gives an open choice to the designer.