9887
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Steady-State Heat Conduction in a Cylinder
This Demonstration shows graphically an analytical solution for steady-state two-dimensional heat conduction in a cylinder.
Contributed by:
Jorge Gamaliel Frade Chávez
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
The equation for steady-state heat conduction (or momentum transfer) in a cylinder is
, (1)
with these boundary conditions:
at
,
at
,
at
,
at
.
The analytic solution is given by:
,
where
is the Bessel function of order 0.
Reference: R. B. Bird, W. E. Stewart, and E. N. Lightfoot,
Transport Phenomena
, 2nd ed., New York: John Wiley and Sons, 2007.
PERMANENT CITATION
"
Steady-State Heat Conduction in a Cylinder
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SteadyStateHeatConductionInACylinder/
Contributed by:
Jorge Gamaliel Frade Chávez
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
Unsteady Heat Transfer over a Porous Flat Plate
Jorge Gamaliel Frade Chávez
Experiment on Heat Conduction
Enrique Zeleny
Unsteady-State Evaporation in an Infinite Tube
Jorge Gamaliel Frade Chávez
Periodic Heat Kernel
William O. Bray
Heat Transfer along a Rod
Stephen Wilkerson
Heat Transfer and the Second Law of Thermodynamics
S. M. Blinder
Gibbs Phenomenon in Laplace's Equation for Heat Transfer
Stephen Wilkerson
Heat Capacity of Solids in the Debye Approximation
Kallol Das (St. Aloysius College, Jabalpur, India)
Van der Waals' Equation of State for a Non-Ideal Gas
Zach Heuman (Boise State University)
Latent Heats of Fusion and Vaporization
Enrique Zeleny
Related Topics
College Physics
Fluid Mechanics
Physics
Thermodynamics
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+