APPLICATION OF DIFFERENTIAL TRANSFORMATION METHOD FOR AN ANNULAR FIN WITH VARIABLE THERMAL CONDUCTIVITY

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AKSOY İ. G.

THERMAL SCIENCE, cilt.26, sa.3, ss.2301-2310, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/tsci210608315a
  • Dergi Adı: THERMAL SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.2301-2310
  • Anahtar Kelimeler: annular fin, differential transformation method, variable thermal conductivity, HOMOTOPY ANALYSIS METHOD, STEP CHANGE, STRAIGHT FINS, RADIATIVE FIN, THICKNESS, PERFORMANCE
  • İnönü Üniversitesi Adresli: Evet

Özet

The thermal analysis of the annular fin is performed by applying the differential transformation method. The thermal conductivity of the annular fin has been considered as a function of temperature. The effects of non-dimensional parameters, namely thermal conductivity and thereto geometric fin parameters on the fin efficiency and temperature distribution are determined. Obtained results from the differential transformation method are also compared with the exact analytical results and the results of the finite difference method in the constant thermal conductivity condition. It has been concluded that the differential transformation method provides accurate results in the solution of non-linear problems.