9464
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Double-Sided Couette Flow
David Gerhardinger
Laminar Flow between Two Eccentric Tubes
Mikhail Dimitrov Mikhailov
Potential Flow over an Airfoil Specified by Numerical Data File
Richard L. Fearn
Flow of Fluid through a Hole in a Tank
Rana Gordji and Sam Gordji
Potential Flow over a NACA Four-Digit Airfoil
Richard L. Fearn
Streamlines for Laminar Flow Past a Rotating Solid Cylinder
Housam Binous
Venturi Effect on Blood Flow Caused by Cholesterol Plaque in Arteries
Enrique Zeleny
Laminar Flow
Enrique Zeleny
Seepage under a Dam by Flow Nets
Leili Gordji and Sam Gordji
Von Kármán Vortex Street in Turbulent Flow
S. M. Blinder
Related Topics
College Physics
Fluid Mechanics
Physics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+