first_term - a rate) to the maximum possible where ( ) = T...

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ME 410 1-D Transient Heat Conduction An initially uniform temperature object subjected to convective heat transfer One term approximation for temperature distribution, valid when Fo > 0.2 Plane Wall of width 2L, x * = x L : ) ( ) , ( ) , ( * 1 1 * * * 2 1 x Cos e C T T T Fo x T Fo x Fo i ζ θ = = Cylinder of radius r o r * = r r o ) ( ) , ( ) , ( * 1 1 * * * 2 1 r J e C T T T Fo r T Fo r o Fo i = = Sphere of radius r o : r * = r r o * 1 * 1 1 * * * ) ( ) , ( ) , ( 2 1 r r Sin e C T T T Fo r T Fo r Fo i = = One term approximation for center temperature (x * = 0 or r * = 0), valid when Fo > 0.2 Plane Wall of width 2L: Fo i o e C T T T Fo T Fo 2 1 1 * * ) , 0 ( ) , 0 ( = = = Cylinder of radius r o : Fo i o e C T T T Fo T Fo 2 1 1 * * ) , 0 ( ) , 0 ( = = = Sphere of radius r o : Fo i o e C T T T Fo T Fo 2 1 1 * * ) , 0 ( ) , 0 ( = = = One term approximation for the ratio of total energy transferred during a finite time (not
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Unformatted text preview: a rate) to the maximum possible where ( ) = T T VC Q i p o , valid when Fo > 0.2 Plane Wall of width 2L: o o Sin Q Q * 1 1 ) ( 1 = Cylinder of radius r o : 1 1 1 * ) ( 2 1 J Q Q o o = Sphere of radius r o : )) ( ) ( ( 3 1 1 1 1 3 1 * Cos Sin Q Q o o = Note: 1 and C 1 are defined by different equations for different geometries, numerical values are in Table 5-1...
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This note was uploaded on 07/25/2008 for the course ME 410 taught by Professor Benard during the Spring '08 term at Michigan State University.

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