1. Hot Dog! Allison Lee Victoria Lee

2. Experiment Set Up Compare the lumped capacitance method and transient conduction Time it takes to cook a hot dog compared to time predicted

3. Assumptions Hot dogs have the same properties as chicken meat and water –h fg = 2257 kJ/kg –v l = 1.044*10 -3 m 3 /kg –v g = 1.679 m 3 /kg –c p = 4217 J/kg*K –  = 0.0589 N*m –k m = 0.489 W/m*K Hot dogs are cylinders

4. Experiment Initial Temperature = 15 o C Final Temperature = 76 o C Water Temperature at Boiling = 92 o C Length of Hot Dog = 0.133 m Diameter of Hot Dog = 0.019 m Mass of Hot Dog = 0.049 kg Cooking Time = 249 sec

5. Lumped Capacitance Method q” = 1106857.1 W/m^2Eq. 10.6 h = 13021.8 W/m^2*K Bi = 126.8Eq. 5.10 Bi >> 0.1invalid t = 2.55 sec << 249 sec

6. Transient Conduction Bi = 253.65Table 5.1  = 2.4050 C1 = 1.6018 t = 676 sec

7. Conclusions Using the lumped capacitance method when it is invalid will result in a extremely skewed answer The transient conduction yields a more accurate answer in this case Errors in predictions are due in part to differences in assumed and actual property values