Non-Newtonian Flow in a Rotating Straight Pipe

Abstract

A theoretical analysis is made of the flow of an incompressible non-Newtonian viscous liquid through a straight pipe of circular cross section flowing under a constant pressure gradient. The pipe is rotated about an axis perpendicular to it. Secondary motion is set up due to the interaction between the Coriolis forces and the pressure gradient. Assuming that the angular velocity about the axis of rotation is small, a solution is developed by successive approximation, the first approximation corresponding to the Newtonian flow discussed by Barua. The stream lines in the central plane and the projection of the stream lines on the cross section of the pipe are compared with those of a Newtonian liquid. An expression for the rate of outflow has been obtained.