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Quiz 3 solution

Quiz 3 solution - x D Bi A A kA xhA kA x E T T T kA xhA T...

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Quiz 3 Solution Finite Difference Example - Pin Fin (3 nodes) Assume uniform convection and heat generation, ; constant x , k , A g E c ; And steady state conditions; T 1 = T b =const a. Find equation for T 2 : First Law: 0 3 1 = + + + V q q q q conv x A q V q E c g = = () () () 2 2 3 3 2 1 1 2 T T hA q x T T kA q x T T kA q s conv c c = = = () () ( ) () () () + + + + = + + + + = = = = = + + + = + + + = + + + c s c g c s c g c s c s c g c s c s g c s c c g c s c kA xhA kA x E T kA xhA T T Bi D x kA x E T Bi D x T T T Bi D x Bi D
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Unformatted text preview: x D Bi A A kA xhA kA x E T T T kA xhA T kA xhA T T E x T T kA T T hA x T T kA kA x E x T T kA T T hA x T T kA 2 . 2 3 1 . 3 1 2 2 . 3 2 2 2 2 1 . 2 3 2 2 1 . 2 3 2 2 1 2 4 2 4 4 4 / 2 2 2 2 2 π Putting equation in terms of Biot number gave an extra bonus point ∆ x/2 ∆ x ∆ x/2 T b =T 1 T 2 T 3 T ∞ , h q conv T ∞ , h q 1 q 3 T ∞ , h E g D...
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