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Couette Flow
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. 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 plate velocity.
Contributed by:
William C. Guttner
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Snapshot 1: pressure induced parabolic flow (Poiseuille solution)
Snapshot 2: linear flow induced by the translation of the upper plate (without pressure gradient)
Snapshot 3: general solution
RELATED LINKS
Couette Flow
(
ScienceWorld
)
Laminar Flow
(
ScienceWorld
)
PERMANENT CITATION
"
Couette Flow
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CouetteFlow/
Contributed by:
William C. Guttner
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