A father and son conducted the following simple experiment on a hot dog which measured 12.5 cm in length and 2.2 cm in diameter. They inserted one food thermometer into the midpoint of the hot dog and another one was placed just under the skin of the hot dog. The temperatures of the thermometers were monitored until both thermometers read 20°C, which is the ambient temperature. The hot dog was then placed in 94°C boiling water and after exactly 2 min they recorded the center temperature and the skin temperature of the hot dog to be 59°C and 88°C, respectively. Assuming the following properties for the hot dog: r = 980 kg/m3 and cp = 3900 J/kg·K and using transient temperature charts, determine (a) the thermal diffusivity of the hot dog, (b) the thermal conductivity of the hot dog, and (c) the convection heat transfer coefficient.
A father and son conducted the following simple
experiment on a hot dog which measured 12.5 cm in length
and 2.2 cm in diameter. They inserted one food thermometer
into the midpoint of the hot dog and another one was
placed just under the skin of the hot dog. The temperatures
of the thermometers were monitored until both thermometers
read 20°C, which is the ambient temperature. The hot
dog was then placed in 94°C boiling water and after exactly
2 min they recorded the center temperature and the skin
temperature of the hot dog to be 59°C and 88°C, respectively.
Assuming the following properties for the hot dog:
r = 980 kg/m3 and cp = 3900 J/kg·K and using transient
temperature charts, determine (a) the thermal diffusivity of
the hot dog, (b) the thermal conductivity of the hot dog,
and (c) the convection heat transfer coefficient.
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