Similarity analysis of a nonlinear fin equation

Pakdemirli M., Sahin A. Z.

APPLIED MATHEMATICS LETTERS, cilt.19, sa.4, ss.378-384, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 4
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.aml.2005.04.017
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.378-384
  • Anahtar Kelimeler: heat transfer, fins, similarity transformations, BOUNDARY-LAYER EQUATIONS, HEAT-TRANSFER COEFFICIENT, NON-NEWTONIAN FLUIDS, CONDUCTION, DESIGN
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

A nonlinear fin equation in which the thermal conductivity is an arbitrary function of the temperature and the heat transfer coefficient is an arbitrary function of a spatial variable is considered. Scaling, translational and spiral group symmetries of the equations are determined. Classification of the functions for which these symmetries exist is performed. In general, no useful symmetries exist for arbitrary thermal conductivity and heat transfer coefficients. However, for some restricted forms of the functions, useful symmetries exist. A similarity transformation is used to reduce the partial differential equation to an ordinary differential equation as an example. (C) 2005 Elsevier Ltd. All rights reserved.