Group classification of fin equation with variable thermal properties


Pakdemirli M., Sahin A. Z.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.42, sa.17-18, ss.1875-1889, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 17-18
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.ijengsci.2004.04.005
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1875-1889
  • Anahtar Kelimeler: heat transfer, fin, lie group theory, group classification, similarity transformations
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

A nonlinear fin equation in which thermal conductivity is an arbitrary function of temperature and, heat transfer coefficient is an arbitrary function of spatial variable is considered. Lie Group theory is applied to the equation. Group classification with respect to the thermal conductivity and heat transfer coefficient is performed. Results are summarized in a table for convenience. Some similarity transformations are used to convert the partial differential equation into an ordinary differential equation. (C) 2004 Elsevier Ltd. All rights reserved.