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Group+B+-+solution

# Group+B+-+solution - Group B(Solutions Problem 1 a b...

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Group B (Solutions) Problem 1 a)

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b) Because of increase in k heat would be conducted more rapidly and slopes of the temperature profile would be steeper as compared to part (a) temperature profile. c) Same as part (a). Because change in density and k would offset each other.
d) Problem 2 Given - T i = 900 o C, T s = 0 o C, T h = 270 o C, t=1 s Transient 1-D conduction in an infinite, plane wall is given by ( , ) ( ) 2 s i s T x t T x erf T T t ( ) 2 h s i s T T x erf T T t 270 0 ( ) 900 0 2 x erf t

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0.3 ( ) 2 x erf t By using Gaussian error function table (from supplementary material) 0.2724 2 x t 0.2724 2 x t 6 0.2724 2 4 10 1 x 1.089 x mm Problem 3 Given - x y    a) 0 . . . . 0 ( ). 2 2 2 s c E c c T T T T x x x E k k h T T x x ( ) ( ) 0 ( ). 0 2 2 2 s c E c c k k x T T T T h T T After rearranging terms (2 ) 0 s E c h x h x T T T T k k b)
0 . . . . . .

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