Thermodynamics HW Solutions 360

Thermodynamics HW Solutions 360 - Chapter 4 Transient Heat...

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Chapter 4 Transient Heat Conduction Cylinder: This cylindrical block can physically be formed by the intersection of a long cylinder of radius r o = D /2 = 2.5 cm and a plane wall of thickness 2 L = 5 cm. After 10 minutes : The Biot number and the corresponding constants for the long cylinder are 400 . 0 ) C W/m. 5 . 2 ( ) m 025 . 0 )( C . W/m 40 ( 2 = ° ° = = k hr Bi o ⎯→ ⎯= = λ 11 08516 10931 .. and A To determine the center temperature, the product solution can be written as [] [ ] {} C 331 ° = = = = = ) , 0 , 0 ( 352 . 0 ) 0931 . 1 ( ) 0580 . 1 ( 500 20 500 ) , 0 , 0 ( ) , 0 , 0 ( ) , 0 ( ) , 0 ( ) , 0 , 0 ( ) 104 . 1 ( ) 8516 . 0 ( ) 104 . 1 ( ) 5932 . 0 ( 1 1 2 2 2 1 2 1 t T e e t T e A e A T T T t T t t t cyl wall i cyl wall block τλ θθ θ After 20 minutes { } C 449 ° = = =
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