Problem 2807. Radiation Heat Transfer — View Factors (3)

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 infinitely long plates of different finite widths and having a common edge given the angle between the plates:</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:r><w:t>-</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=\"rId2\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Any of the variables can be a vector. Also, note that A = a/b, and is different than A_1 or A_2. Finally, the angle is provided in degrees.</w:t></w:r></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

147 Solutions
46 Solvers

Last Solution submitted on Jul 27, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers46

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 2807. Radiation Heat Transfer — View Factors (3)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers46

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 2807. Radiation Heat Transfer — View Factors (3)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers46

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players