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quiz3_statement_F09

# quiz3_statement_F09 - Quiz#3 ECH 3223 Fall 2009 Friday...

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Unformatted text preview: Quiz #3 ECH 3223, Fall 2009 Friday, October 2 Directions: • Twenty-ﬁve minutes. • Open book, though not required. • No notes. • Calculator needed. • Maximize your score by showing all work. • Good luck to you!! Temperature measurement by analyis of an extended surface A long rod within an oven having an air temperature of 400oC is pressed ﬁrmly onto the surface of a billet. Thermocouples imbedded in the rod at locations 25 and 100 mm from the billet register temperatures of 325 and 375o C, respectively. Estimate the temperature of the billet. You solved this problem analytically on the last quiz (though with slighly diﬀerent numbers). Now, set-up the solution using a ﬁnite diﬀerence. As shown, use ﬁve nodes separated by equal distances of 25 mm. You should be able to generate three equations from which you can calculate the temperature of node 1 located at 0 mm, i.e. the temperature of the billet. ...
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