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Modelling Workshop Thermodynamics 1: Problem

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The Modelling Workshop Thermodynamics 1 Problem of the Modelling Course of Industrial Design of the TU Delft

The Modelling Workshop Thermodynamics 1 Problem of the Modelling Course of Industrial Design of the TU Delft

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  • 1. P-W-T-1: The Spa mineral water Put a 1.5 liter bottle of Spa mineral water in the refrigerator Question: How long it will take to cool the mineral water to 6°C (feels cool) We choose 1. The bottle is made of PolyEthylene Terephthalate (PET), the specific heat capacity of PET is 1200 J/(kg·K), the thermal conductivity of PET is 0.15 W/(m·K), the thickness of the bottle is 0.3 mm and the weight of the bottle is 25 g; 2. The bottle is filled with mineral water; 3. The contact area between the mineral water and the bottle and the contact area between the bottle and the air are approximately the same, equal to 0.08 m2. 4. The mineral water density is 1000 kg/m3, the specific heat of the mineral water is 4181 J/ (kg·K), the initial temperature is 20°C; 5. The environment (air) temperature is 4°C; 6. The heat transfer coefficient between the mineral water and the bottle is 300 W/(m2·K); 7. The heat transfer coefficient between air and the bottle is 10 W/(m2·K).

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