Group classification of a non-Newtonian fluid model using classical approach and equivalence transformations

Yürüsoy M., Pakdemirli M.

International Journal of Non-Linear Mechanics, vol.34, no.2, pp.341-346, 1999 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 2
  • Publication Date: 1999
  • Doi Number: 10.1016/s0020-7462(98)00037-7
  • Journal Name: International Journal of Non-Linear Mechanics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.341-346
  • Keywords: Lie groups, group classification, boundary layers, non-Newtonian fluids
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Boundary layer equations of a non-Newtonian fluid model in which the shear stress is an arbitrary function of the velocity gradient is considered. Group classification of the equations with respect to shear stress is done using two different approaches: (1) classical theory and (2) equivalence transformations. Both approaches yield identical results. It is found that the principle Lie algebra extends only for cases of Newtonian and Power-Law flows. © 1998 Elsevier Science Ltd. All rights reserved.