Flow of a non-Newtonian fluid

The objective of the present study is to calculate flows of a non-Newtonian fluid in a plane channel. An exact solution that determines the distribution of the fluid velocity in the transverse cross section of the channel is obtained under certain conditions concerning the dependence of viscosity on the velocity gradient. It is shown that this distribution differs substantially from a parabolic profile of a Newtonian fluid. It is indicated that, in the flow of a non-Newtonian fluid, its special features never disappear-only the region of a non-Newtonian flow shrinks, becoming localized in the vicinity of the velocity maximum.