WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 9, 2014
Laminar Boundary Layer Model for Power-Law Fluids with Non-Linear Viscosity
Author: Jacob Nagler
Abstract: In this paper, analytical solutions are obtained for the steady laminar boundary layer of non- Newtonian flow with non-linear viscosity over a flat moving plate. The power-law fluid model was adopted for the non-Newtonian fluid representation. The governing non-dimensional boundary layer equations are transformed into ordinary differential equations using similarity transformation which are then solved analytically. The analytical results are obtained for different values of the constant n representing the powerlaw index and flow consistency parameter K which is assumed to be function type of η and n in this study. The effects of various values on the velocity profiles are presented and discussed.
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Keywords: Analytical solution, non-Newtonian, non-Linear viscosity, Boundary Layer, Bingham model
Pages: 19-25
WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 9, 2014, Art. #2