20 J/kg-K, respectively. The sample is initially at a uniform emperature of 25°C. In order to measure the temperatures of the sample at its surface and its center, a thermocouple is nserted to the center of the sample along the centerline, and nother thermocouple is welded into a small hole drilled n the surface. The sample is dropped into boiling water at 00°C. After 3 min, the surface and the center temperatures re recorded to be 93°C and 75°C, respectively. Determine the

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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.32P
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4–147 The thermal conductivity of a solid whose density and
specific heat are known can be determined from the relation
k = a/pc, after evaluating the thermal diffusivity a.
Consider a 2-cm-diameter cylindrical rod made of a sample
material whose density and specific heat are 3700 kg/m' and
920 J/kg-K, respectively. The sample is initially at a uniform
temperature of 25°C. In order to measure the temperatures
of the sample at its surface and its center, a thermocouple is
inserted to the center of the sample along the centerline, and
another thermocouple is welded into a small hole drilled
on the surface. The sample is dropped into boiling water at
100°C. After 3 min, the surface and the center temperatures
are recorded to be 93°C and 75°C, respectively. Determine the
thermal diffusivity and the thermal conductivity of the material.
Taurface
Thermocouples
Rod
Teenter
Boiling water
100°C
Transcribed Image Text:4–147 The thermal conductivity of a solid whose density and specific heat are known can be determined from the relation k = a/pc, after evaluating the thermal diffusivity a. Consider a 2-cm-diameter cylindrical rod made of a sample material whose density and specific heat are 3700 kg/m' and 920 J/kg-K, respectively. The sample is initially at a uniform temperature of 25°C. In order to measure the temperatures of the sample at its surface and its center, a thermocouple is inserted to the center of the sample along the centerline, and another thermocouple is welded into a small hole drilled on the surface. The sample is dropped into boiling water at 100°C. After 3 min, the surface and the center temperatures are recorded to be 93°C and 75°C, respectively. Determine the thermal diffusivity and the thermal conductivity of the material. Taurface Thermocouples Rod Teenter Boiling water 100°C
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