Problem 2805. Radiation Heat Transfer — View Factors (1)

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.gif"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId2","target":"/media/image2.gif"}],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates between surfaces. In particular, the thermal energy leaving a given surface is applied to other surfaces, as appropriate, based on how much the hot surface \"sees\" the other surfaces. As such, view factors are purely geometrical in nature. A range of view factor formulae are available</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.thermalradiation.net/tablecon.html\"><w:r><w:t>here</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For this problem, calculate the view factor from surface 1 to surface 2 (F_1-2) for two directly opposed, infinitely long plates of the same finite width given the height, which may be a vector of values:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"},{"partUri":"/media/image1.gif","contentType":"image/gif","content":"data:image/gif;base64,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"},{"partUri":"/media/image2.gif","contentType":"image/gif","content":"data:image/gif;base64,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"}]}

Solve

Solution Stats

234 Solutions
92 Solvers

Last Solution submitted on Jun 07, 2023

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Jean-Marie Sainthillier on 1 Jan 2015

Can't access to http://www.thermalradiation.net/tablecon.html

goc3 on 3 Jan 2015

It's back up and running. It was down for about a day. I'm not sure why, though. I recall accessing this site about a decade ago, and I imagine that it will be around for decades to come, due to its usefulness.

Jean-Marie Sainthillier on 3 Jan 2015

Thank you for the update.

Solution Comments

Show comments

Problem Recent Solvers92

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2805. Radiation Heat Transfer — View Factors (1)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers92

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 2805. Radiation Heat Transfer — View Factors (1)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers92

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players