Chapter 5, Problem 5S.4P

Estimate the time required to cook a hot dog in boiling water. Assume that the hot dog is initially at $6°\text{C,}$ that the convection heat transfer coefficient is $100{\text{W/m}}^{\text{2}}\cdot \text{K,}$ and that the final temperature is $80°\text{C}$ at the center-line. Treat the hot dog as a long cylinder of 20-mm diameter having the properties: $\rho =880{\text{kg/m}}^{\text{3}},c=3350\text{J/kg}\cdot \text{K,}$ and $k=0.52\text{W/m}\cdot \text{K}\text{.}$