Problem 2806. Radiation Heat Transfer — View Factors (2)

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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 directly opposed, infinitely long plates of different finite widths given the distance 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: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>Each variable may be a vector of values. Also, note that B = b/a and C = c/a.</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 2806. Radiation Heat Transfer — View Factors (2)

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Problem 2806. Radiation Heat Transfer — View Factors (2)

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