Chapter 15 Steady Heat Conduction3-73A 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. Assumptions1The drink is at a uniform temperature at all times. 2The 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. PropertiesThe 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/m3and Cp= 4180 J/kg.°C.
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