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Double-Sided Couette Flow

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The permanent laminar flow of an incompressible viscous fluid in the space between two parallel plates can be described by a linear ODE for : , where is the dynamic viscosity of the fluid and is the pressure gradient.

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The boundary conditions are:

(lower plate velocity),

(upper plate velocity).

This problem has an analytic solution:

that varies as a function of the pressure gradient and the upper and lower plate velocity.

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Contributed by: David Gerhardinger (March 2011)
Based on a program by: William C. Guttner
Open content licensed under CC BY-NC-SA

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