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Heating and Cooling a Cylinder Model
written by Wolfgang Christian
The Heating and Cooling a Cylinder model computes the radial temperature distribution within a long cylinder as it is heated and cooled by a surrounding fluid.  The cylinder is broken into shells and the temperature of each shell is computed using a finite difference approximation to the radial heat equation in cylindrical coordinates.  It is a supplemental simulation for an article by William Dittrich in The Physics Teacher (TPT).

The cylinder heats and cools by exchanging thermal energy with the surrounding fluid by convection and this energy exchange is proportional to the difference between the cylinder's surface temperature Ts and the temperature of the fluid Tf.  Inside the cylinder the thermal energy is transported by diffusion.   The temperature inside is uniform if thermal energy transfer within the cylinder is faster than thermal energy transfer at the surface.

The simulation shows how a temperature gradient appears if the heat transfer coefficient or the transfer coefficient are large.  The Heating and Cooling a Cylinder model allows users to select copper, aluminum, and iron material properties and to set the cylinder's radius and its heat transfer coefficient to observe these effects.

The Heating and Cooling a Cylinder model was created using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_heat_HeatingAndCoolingCylinder.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
1 source code document is available
Subjects Levels Resource Types
Mathematical Tools
- Differential Equations
Thermo & Stat Mech
- Thermal Properties of Matter
= Temperature
= Thermometry
- High School
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
• Currently 0.0/5

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Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Wolfgang Christian
Keyword:
specific heat
Record Cloner:
Metadata instance created June 5, 2010 by Wolfgang Christian
Record Updated:
June 6, 2014 by Andreu Glasmann
Last Update
when Cataloged:
June 5, 2010
Other Collections:

ComPADRE is beta testing Citation Styles!

AIP Format
W. Christian, Computer Program HEATING AND COOLING A CYLINDER MODEL, Version 1.0 (2010), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10069&DocID=1663).
AJP/PRST-PER
W. Christian, Computer Program HEATING AND COOLING A CYLINDER MODEL, Version 1.0 (2010), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10069&DocID=1663>.
APA Format
Christian, W. (2010). Heating and Cooling a Cylinder Model (Version 1.0) [Computer software]. Retrieved October 18, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10069&DocID=1663
Chicago Format
Christian, Wolfgang. "Heating and Cooling a Cylinder Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10069&DocID=1663 (accessed 18 October 2017).
MLA Format
Christian, Wolfgang. Heating and Cooling a Cylinder Model. Vers. 1.0. Computer software. 2010. Java 1.5. 18 Oct. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10069&DocID=1663>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Heating and Cooling a Cylinder Model}, Month = {June}, Year = {2010} }
Refer Export Format

%A Wolfgang Christian
%T Heating and Cooling a Cylinder Model
%D June 5, 2010
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D June 5, 2010
%T Heating and Cooling a Cylinder Model
%7 1.0
%8 June 5, 2010

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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

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### Heating and Cooling a Cylinder Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Heating and Cooling a Cylinder.

relation by Wolfgang Christian

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