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

Created by goc3

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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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"}]}

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

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