October 15, 2000 Quiz Question
Dip Coating of a Bingham Fluid
The metal sheet is tall and wide, L>>W>>H. Assume that the coating maintains a uniform thickness H(t) as the excess fluid drains. This flow is controlled by gravity and viscosity; for this problem, assume that inertial effects and interfacial tension are negligible.
The fluid used for coating is an incompressible Bingham fluid characterized by the following constitutive equation:
What is the velocity distribution in the coating as it drains off of the