Vertical Laminar Flow of a Bingham Liquid Film

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 ([1] and [2]).
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 , where is the shear stress.


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[1] H. Binous,"Introducing Non-Newtonian Fluid Mechanics Computations with Mathematica in the Undergraduate Curriculum," Chemical Engineering Education, 41(1), 2007 pp. 59–64.
[2] J. O. Wilkes, Fluid Mechanics for Chemical Engineers, Upper Saddle River, NJ: Prentice Hall, 1999.
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