Analysis of Couette and Poiseuille flows for fourth-grade fluids and Oldroyd 6-constant fluids with the perturbation technique  Fulltext 

[ Soroush Maddah ] - M.S. Student-Iran university of science and technology
[ Gholamali Atefi ] - Associate Professor-Iran univ. of sci. and tech.

خلاصه مقاله:

The steady laminar flow of a fourth-grade fluid and an incompressible Oldroyd 6-constant fluid, between two parallel plates is considered. Depending upon the relative motion of the plates we analyze three types of flows: Couette flow, Poiseuille flow and generalized Couette flow. In each case, the nonlinear differential equation describing the velocity field is solved using perturbation technique. The velocity profiles for each
non-Newtonian model are presented, moreover in several diagrams the accuracy of solutions are discussed. It is observed that the results of perturbation method for fluids with small ε are very exact.

fourth-grade fluid, Oldroyd 6-constant fluid, perturbation method, Couette flow, Poiseuille flow.