Hot Dog!

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 1.04410-3 m3/kg
• vg 1.679 m3/kg
• cp 4217 J/kgK
• ? 0.0589 Nm
• km 0.489 W/mK
• 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/m2 Eq. 10.6
• h 13021.8 W/m2K
• Bi 126.8 Eq. 5.10
• Bi gtgt 0.1 invalid
• t 2.55 sec ltlt 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