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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider a house whose windows are made of 0.375-in-thick glass (k 5 0.48 Btu/h·ft·°F and a = 4.2 x 1026 ft2 /s). Initially, the entire house, including the walls and the windows, is at the outdoor temperature of To = 35°F. It is observed that the windows are fogged because the indoor temperature is below the dew-point temperature of 54°F. Now the heater is turned on and the air temperature in the house is raised to Ti = 72°F at a rate of 2°F rise per minute. The heat transfer coefficients at the inner and outer surfaces of the wall can be taken to be hi = 1.2 and ho = 2.6 Btu/h·ft2 ·°F, respectively, and the outdoor temperature can be assumed to remain constant. Using the explicit finite difference method with a mesh size of ∆x = 0.125 in, determine how long it will take for the fog on the windows to clear up (i.e., for the inner surface temperature of the window glass to reach 54°F).
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