Thermodynamics HW Solutions 379

Thermodynamics HW Solutions 379 - = = = = o o o o o hr k Bi...

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Chapter 4 Transient Heat Conduction 4-113 A cylindrical rod is dropped into boiling water. The thermal diffusivity and the thermal conductivity of the rod are to be determined. Assumptions 1 Heat conduction in the rod is one-dimensional since the rod is sufficiently long, and thus temperature varies in the radial direction only. 2 The thermal properties of the rod are constant. Properties The thermal properties of the rod available are given to be ρ = 3700 kg/m 3 and C p = 920 J/kg. ° C. Analysis From Fig. 4-14b we have Water 100 ° C 2 cm Rod T i = 25 ° C 25 . 0 1 1 28 . 0 100 75 100 93 = =
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Unformatted text preview: = = = = o o o o o hr k Bi r r r x T T T T From Fig. 4-14a we have 40 . 33 . 100 25 100 75 25 . 1 2 = = = = = = o i o o r t T T T T hr k Bi Then the thermal diffusivity and the thermal conductivity of the material become C W/m. 0.756 /s m 10 2.22 2 7 = = = = = = = C) J/kg. )(920 kg/m /s)(3700 m 10 22 . 2 ( s/min 60 min 3 m) 01 . )( 40 . ( 40 . 3 2 7 2 2 p p o C k C k t r 4-90...
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