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Unformatted text preview: + Therefore on the circle described above 1 1 Re 2 2 x on circle z ax a = = = constant. (b) Use the result found in (a) to find the temperature in the shaded region shown for steady heat conduction (Laplaces Equation). The temperature on the outer part (circle of radius 2) is 100 and the temperature on the inner part (circle of radius 1) is 50. Using superposition of solutions 2 2 x T a b x y = + + To set T to be 50 on the inner circle we can set T=50 at x=2, y=0. Likewise we set T=100 at x=4, y=0. ( 29 2 2 1 1 50 ,100 150, 200 2 4 , 150 200 a b a b a b x T x y x y = + = + = = - =-+...
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This note was uploaded on 12/15/2011 for the course EGM 4313 taught by Professor Mei during the Fall '08 term at University of Florida.
- Fall '08