Thermodynamics HW Solutions 208

Thermodynamics HW Solutions 208 - Chapter 15 Steady Heat...

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Chapter 15 Steady Heat Conduction 3-73 A cold aluminum canned drink that is initially at a uniform temperature of 3°C is brought into a room air at 25°C. The time it will take for the average temperature of the drink to rise to 10 ° C with and without rubber insulation is to be determined. Assumptions 1 The drink is at a uniform temperature at all times. 2 The thermal resistance of the can and the internal convection resistance are negligible so that the can is at the same temperature as the drink inside. 3 Heat transfer is one-dimensional since there is thermal symmetry about the centerline and no variation in the axial direction. 4 Thermal properties are constant. 5 The thermal contact resistance at the interface is negligible. Properties The thermal conductivity of rubber insulation is given to be k = 0.13 W/m °C. For the drink, we use the properties of water at room temperature, ρ = 1000 kg/m 3 and C p = 4180 J/kg. ° C.
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