This Demonstration plots the velocity profile for the vertical laminar flow of a Bingham fluid (blue curve) and a Newtonian fluid (red curve) down a wall ( and ).
The calculations assume that the viscosity of the Newtonian fluid is equal to the zero-shear viscosity of the Bingham fluid.
You can set the values of the zero-shear viscosity,
, and the yield stress,
. It can be seen in the snapshots that both profiles are identical when the yield stress is equal to zero.
For increasing values of the yield stress, one gets a larger region where the velocity profile is flat (i.e. velocity gradient is zero) corresponding to
is the shear stress.
 H. Binous,"Introducing Non-Newtonian Fluid Mechanics Computations with Mathematica
in the Undergraduate Curriculum," Chemical Engineering Education
(1), 2007 pp. 59–64.
 J. O. Wilkes, Fluid Mechanics for Chemical Engineers
, Upper Saddle River, NJ: Prentice Hall, 1999.