File:Heatequation exampleB color.gif
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Heatequation_exampleB_color.gif (288 × 177 pixels, file size: 41 KB, MIME type: image/gif, looped, 120 frames, 12 s)
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[edit]DescriptionHeatequation exampleB color.gif |
English: Graphical representation of the solution to the heat equation for an "infinite slab" of width 1 given by:
where k = .061644 subject to the boundary conditions: and with the initial heat distribution given by: In this case, the left face () and the right face () are perfectly insulated. This image shows how the heat redistributes, moving from the warmer left edge to the cooler right edge, then equalizing to a constant temperature throughout. This temperature happens to be the average value of over [0,1], as one might expect. The solution: where: |
Source | Own work |
Author | User:Wtt~commonswiki |
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[edit]I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 22:50, 16 April 2007 | 288 × 177 (41 KB) | Wtt~commonswiki (talk | contribs) |
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