Q HW6 - 2 for 2< t< 3 = 0 f o r t> 3 where 1 2 3 are...

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EML 6154 Homework Set 6 Due Monday Oct. 26 Solve problems 5.4, 5.5, 5.7 in your textbook. B) A solid cylinder of radius b is initially at a temperature of zero. For t>0, the outer surface (r=b) temperature is prescribed by the time-dependent function T(r=b, t) = f(t), where f(t) = T 1 + (T 2 / 1 )t for 0 < t < 1 = T 1 f o r 1 < t < 2 = T 1 – [T 1 /( 3 - 2 )](t -
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Unformatted text preview: 2 ) for 2 < t < 3 = 0 f o r t > 3 where 1 , 2 , 3 are positive constants. First plot the boundary condition T(r=b) = f(t). Use Duhamel's theorem to find an expression for T(r, t) for times t > 3 . Simplify all expressions by removing unnecessary terms from the integrals. Need not perform integration....
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This note was uploaded on 09/09/2010 for the course EML 6154 taught by Professor Staff during the Fall '08 term at University of Florida.

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