Thermodynamics HW Solutions 384

Thermodynamics HW Solutions 384 - ) 0030 . 1 ( 75 400 75 2...

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Chapter 4 Transient Heat Conduction Cylinder: F 176 ° = ⎯→ = = ⎯→ = = 0 ) 56 . 58 ( ) 1412 . 0 ( 0 1 0 , 0 312 . 0 ) 0025 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i cyl τλ θ Sphere: F 132 ° = ⎯→ = = ⎯→ = = 0 ) 56 . 58 ( ) 1730 . 0 ( 0 1 0 , 0 174 . 0 ) 0030 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i sph After 30 minutes 2 . 0 68 . 175 ft) 12 / 5 . 0 ( min/h) min/60 /h)(30 ft 61 . 0 ( 2 2 2 > = = = L t α τ Plate: F 132 ° = ⎯→ = = ⎯→ = = 0 ) 68 . 175 ( ) 0998 . 0 ( 0 1 0 , 0 174 . 0 ) 0017 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i wall Cylinder: F 84.8 ° = ⎯→ = = ⎯→ = = 0 ) 68 . 175 ( ) 1412 . 0 ( 0 1 0 , 0 030 . 0 ) 0025 . 1 ( 75 400 75 2 2 1 T e T e A T T T T i cyl Sphere: F 76.7 ° = ⎯→ = = ⎯→ = = 0 ) 68 . 175 ( ) 1730 . 0 ( 0 1 0 , 0 0052 .
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Unformatted text preview: ) 0030 . 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 highest rate of heat transfer. Consequently, the center temperature of the sphere is always the lowest. 4-95...
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