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Hot Dog!

Hot Dog!. Allison Lee Victoria Lee. Experiment Set Up. Compare the lumped capacitance method and transient conduction Time it takes to cook a hot dog compared to time predicted. Assumptions. Hot dogs have the same properties as chicken meat and water h fg = 2257 kJ/kg

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Hot Dog!

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  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 • hfg = 2257 kJ/kg • vl = 1.044*10-3 m3/kg • vg = 1.679 m3/kg • cp = 4217 J/kg*K •  = 0.0589 N*m • km = 0.489 W/m*K • Hot dogs are cylinders

  4. Experiment • Initial Temperature = 15oC • Final Temperature = 76oC • Water Temperature at Boiling = 92oC • 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^2 Eq. 10.6 • h = 13021.8 W/m^2*K • Bi = 126.8 Eq. 5.10 • Bi >> 0.1 invalid • t = 2.55 sec << 249 sec

  6. Transient Conduction • Bi = 253.65 Table 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

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