Problem 19-2 - Example 19-2 Heat is transferred across an...

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Example 19-2 Heat is transferred across an infinite plane wall. The left side is held at T 1 and the right side is cooled by convection. Find T ( x ) and q x. , f hT x = 0 x = L L k T = T 1 Solution: The conduction equation for this steady, one-dimensional case with no heat generation is 2 2 0 T x = 12 TC x C =+ At x = 0 T=T 1 x = L () f dT kh T T dx −= At x = 0, T=T 1 C 2 = T 1 x = L f T T
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( ) 11 2 f kC h C L C T −= + ( ) 1 f h C L T T + ( ) 1 f hC L h T T −− = ( ) 1 1 f hT T C kh L = + 1 1 f TT C k L h = + 1 12 1 () f Tx Cx C x T k L
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Problem 19-2 - Example 19-2 Heat is transferred across an...

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