Boundary layer equations and symmetry analysis of a Carreau fluid

Dolapci H. T.

International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Greece, 23 - 29 September 2015, vol.1738, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1738
  • Doi Number: 10.1063/1.4952115
  • City: Rhodes
  • Country: Greece
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, boundary layer equations of the Carreau fluid have been examined. Lie group theory is applied to the governing equations and symmetries of the equations are determined. The non-linear partial differential equations and their boundary conditions are transformed into a system of ordinary differential equations using the similarity transformations obtained from the symmetries. The system of ordinary differential equations are numerically solved for the boundary layer conditions. Finally, effects of non-Newtonian parameters on the solutions are investigated in detail.