Non-similar Blasius and Sakiadis flow of a non-Newtonian Carreau fluid

The Blasius and Sakiadis flow of a non-Newtonian Carreau fluid is considered in the present paper. The boundary layer equations are transformed into non-dimensional form and a new dimensionless parameter (Deborah number) is introduced. The transformed boundary layer equations are solved with the finite difference method. The problem is non-similar and is governed by the Deborah number, the power-law index and the non-dimensional distance along the plate. Velocity profiles and wall shear stress have been calculated for both cases and a comparison is made between Blasius and Sakiadis flow. (C) 2015 Taiwan Institute of Chemical Engineers. Published by Elsevier B.V. All rights reserved.