Thermodynamics HW Solutions 382

Thermodynamics HW Solutions 382 - Chapter 4 Transient Heat...

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Chapter 4 Transient Heat Conduction Cylinder: F 167 ° = ⎯→ = = = = 0 ) 97 . 31 ( ) 1995 . 0 ( 0 1 0 , 0 282 . 0 ) 0050 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i cyl τλ θ Sphere: F 123 ° = = = = = 0 ) 97 . 31 ( ) 2445 . 0 ( 0 1 0 , 0 149 . 0 ) 0060 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i sph After 30 minutes τ α == = > t L 2 0333 05 12 959 0 2 (. (./ .. ft / h)(30 min / 60 min / h) ft) 2 2 Plate: F 123 ° = = = = = 0 ) 9 . 95 ( ) 1410 . 0 ( 0 1 0 , 0 149 . 0 ) 0033 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i wall Cylinder: F 82 ° = = = = = 0 ) 9 . 95 ( ) 1995 . 0 ( 0 1 0 , 0 0221 . 0 ) 0050 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i cyl Sphere: F 76 ° = = = = = 0 ) 9 . 95 ( ) 2445 . 0 ( 0 1 0 , 0 00326 . 0 ) 0060 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i sph The sphere has the largest surface area through which heat is transferred per unit volume, and thus the
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