Heat Conduction along a Bar MapleSim Model - Heat Conduction along a Bar S-Function - MapleSim Model Gallery

Heat Conduction along a Bar

This application solves the Heat Equation in one dimension with a discretized lumped parameter network for a bar heated at one end. The bar has a length of 1, and each segment has a length of 1/nLayers, where nLayers is the number of segments. Each segment contains a thermal conductor (of thermal conductance K=α•nLayers where α is the thermal diffusivity in the Heat Equation) and a lumped mass (of heat capacity C = 1/nLayers). The temperature can be probed at various points along the bar. Heat sources can be placed at various points along the bar if desired. The principles in this model can be extended to more spatial dimensions.

Attachments:
1) Attached to this model is a Maple worksheet that solves the problem mathematically.
The results agree with those given by MapleSim.
2) The second worksheet simulates the temperature variation along the bar, and represents the temperature gradient.

This model includes a Maple worksheet for analysis
Close

This Model Requires MapleSim

If you do not have MapleSim, contact us to arrange a short, live demonstration with a MapleSim product expert, where you will:


  • See how this model operates
  • Learn how it was developed
  • Discover how it can be modified to fit your requirements
Request a Live Demo

If you have a copy of MapleSim available, you can download the model here:

Download the Model
Close

Request an S-Function

MapleSim Models can be readily exported as royalty-free S-functions. To request the S-function corresponding to this model, please fill in the form below.


Model: Heat Conduction along a Bar
Industry:

Submitting form...

Thank you for requesting the S-Function. Your request has been received and you can expect to hear from us shortly. Close Window
Oops! There was a problem. Try again later Close Window
Model Images
  • model Model schematic of the system
  • results Simulation results
MapleSim Video
Video not available in this browser.
Simulink is a registered trademark of The MathWorks, Inc.