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Consider the attic of a home located in a hot climate. The floor of the attic is characterized by a width of L1= 10 m while the roof makes an angle of theta=30 degrees from the horizontal direction. The home owner wishes to reduce the heat load tot he home by adhering bright aluminum foil (of emissivity 0.07) onto the surfaces of the attic space. Prior to installation of the foil the surfaces are of emissivity 0.85
a) consider installation on the bottom of the attic roof only. Determine the ratio of the radiation heat transfer after to before the installation of the foil.b) installation on the top of the attic floorc) installation on both the roof bottom and floor top.
Prove that the transformation Q1 = q12 Q2 = q2 sec p2 p cos p2 - 2q2 P= 1 P2 = sin p2 - 2q1 1 2q1 cos p2 is canonical, by any method you choose . Find a suitable generating function that will lead to this transformation.
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