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Modelling Workshop Thermodynamics 2: Problem

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The Modelling Workshop Thermodynamics 2 Problem of the Modelling Course of Industrial Design of the TU Delft

The Modelling Workshop Thermodynamics 2 Problem of the Modelling Course of Industrial Design of the TU Delft

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  • 1. P-W-T-2: The Coke Question: Estimate of the temperature of the coke 15 minutes after it is served on the table We choose 1. The cup is a McDonald’s® medium cup with a lid; the bottom of the cup is insulated; 2. The cup is made of paper, the specific heat capacity of paper is 1336 J/(kg·K), the thermal conductivity is 0.05 W/(m·K), the density is 1000 kg/m3; the thickness of the cup is 0.3 mm; and the mass of the cup is about 10 g; 3. The lid is made of Polypropylene, the specific heat capacity of polypropylene is 1500 J/(kg·K), the thermal conductivity is 0.3 W/(m·K); the thickness of the lid is about 0.11 mm, the mass of the lid is about 2 g; 4. The cup is fully filled with 470 ml of coke; The density of the coke is 1000 kg/m3, the specific heat capacity of the coke is 4181 J/(kg·K), the initial temperature of the coke is 3°C; 5. The contact area between the coke and the sides of the cup and the contact area between the sides of the cup and the air outside are nearly same, both are 0.025 m2; 6. The contact area between the coke and the lid and the contact area between the lid and the air outside are nearly same, both are 0.005 m2; 7. The heat transfer coefficient between the coke and the cup and the heat transfer coefficient between the coke and the lid are the same, both are 500 W/(m2·K); 8. The heat transfer coefficient between the air and outside of the cup & lid is 50 W/(m2·K); 9. The environment (air) temperature is 20°C.

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