Flow of a Non-Newtonian Fluid between Rotating Cylinders with Suction and Injection

Abstract

The steady flow of a certain non-Newtonian fluid in an annulus between two coaxial cylinders rotating with uniform angular velocities about the common axis is studied when there is suction at one wall and injection at the other. The stress matrix T for the non-Newtonian fluid is given by T = -pI + α1A1 + α2A2, where p is the pressure, I is the unit matrix, α1, α2 are constants and A1, A2 are kinematic matrices. It is found that in the case of no suction and injection, the velocity field is not affected by the presence of the non-Newtonian term α2A2, though the pressure field is affected. On the other hand, if there is suction and injection, however small, the non-Newtonian term affects the velocity field and the nature of this effects is investigated for sufficiently small suction and injection velocities.