Lie group analysis of a non-Newtonian fluid flow over a porous surface

AKGÜL M. B., Pakdemirli M.

Scientia Iranica, cilt.19, sa.6, ss.1534-1540, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.scient.2012.10.025
  • Dergi Adı: Scientia Iranica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1534-1540
  • Anahtar Kelimeler: Lie group method, Unsteady squeezed flow, Non-Newtonian fluid, Power-law fluid, Boundary layer, Porous surface
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Two-dimensional, unsteady squeezed flow over a porous surface for a power-law non-Newtonian fluid is considered. Continuity, momentum and energy equations are written and cast into a non-dimensional form. Boundary conditions are selected in a general form. Lie Group theory is applied to the equations. Then, a partial differential system with three independent variables is converted into an ordinary differential system, via application of two successive symmetry generators. The ordinary differential equations are solved numerically. Effects of flow behavior index, Prandtl number, squeezing parameter, surface velocity parameter and suction/injection parameter on the flow are outlined in the figures. © 2012 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.