Linearization properties, first integrals, nonlocal transformation for heat transfer equation


Orhan O. , Özer T.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.30, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0217979216400245
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Özet

We examine first integrals and linearization methods of the second-order ordinary differential equation which is called fin equation in this study. Fin is heat exchange surfaces which are used widely in industry. We analyze symmetry classification with respect to different choices of thermal conductivity and heat transfer coefficient functions of fin equation. Finally, we apply nonlocal transformation to fin equation and examine the results for different functions.