2.17 An apparatus for measuring thermal conductivity employs an electrical heater sandwiched between two identical samples of diameter 30 mm and length 60 mm, which are pressed between plates maintained at a uniform temperature T = 77°C by a circulating fluid. A conduct- ing grease is placed between all the surfaces to ensure good thermal contact. Differential thermocouples are imbedded in the samples with a spacing of 15 mm. The lateral sides of the samples are insulated to ensure one- dimensional heat transfer through the samples. -Plate, T Sample AT₁ Heater leads Insulation Sample AT2 -Plate, T (a) With two samples of SS316 in the apparatus, the heater draws 0.353 A at 100 V, and the differential thermocouples indicate AT₁ = AT2 = 25.0°C. What is the thermal conductivity of the stainless steel sam- ple material? What is the average temperature of the samples? Compare your result with the thermal con- ductivity value reported for this material in Table A.1. (b) By mistake, an Armco iron sample is placed in the lower position of the apparatus with one of the SS316 samples from part (a) in the upper portion. For this situation, the heater draws 0.601 A at 100 V, and the differential thermocouples indicate AT₁ = AT₂ = 15.0°C. What are the thermal conductivity and aver- age temperature of the Armco iron sample?
2.17 An apparatus for measuring thermal conductivity employs an electrical heater sandwiched between two identical samples of diameter 30 mm and length 60 mm, which are pressed between plates maintained at a uniform temperature T = 77°C by a circulating fluid. A conduct- ing grease is placed between all the surfaces to ensure good thermal contact. Differential thermocouples are imbedded in the samples with a spacing of 15 mm. The lateral sides of the samples are insulated to ensure one- dimensional heat transfer through the samples. -Plate, T Sample AT₁ Heater leads Insulation Sample AT2 -Plate, T (a) With two samples of SS316 in the apparatus, the heater draws 0.353 A at 100 V, and the differential thermocouples indicate AT₁ = AT2 = 25.0°C. What is the thermal conductivity of the stainless steel sam- ple material? What is the average temperature of the samples? Compare your result with the thermal con- ductivity value reported for this material in Table A.1. (b) By mistake, an Armco iron sample is placed in the lower position of the apparatus with one of the SS316 samples from part (a) in the upper portion. For this situation, the heater draws 0.601 A at 100 V, and the differential thermocouples indicate AT₁ = AT₂ = 15.0°C. What are the thermal conductivity and aver- age temperature of the Armco iron sample?
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Transcribed Image Text:2.17 An apparatus for measuring thermal conductivity
employs an electrical heater sandwiched between two
identical samples of diameter 30 mm and length 60 mm,
which are pressed between plates maintained at a uniform
temperature T = 77°C by a circulating fluid. A conduct-
ing grease is placed between all the surfaces to ensure
good thermal contact. Differential thermocouples are
imbedded in the samples with a spacing of 15 mm. The
lateral sides of the samples are insulated to ensure one-
dimensional heat transfer through the samples.
-Plate, T
Sample
AT₁
Heater
leads
Insulation
Sample
AT2
-Plate, T
(a) With two samples of SS316 in the apparatus, the
heater draws 0.353 A at 100 V, and the differential
thermocouples indicate AT₁ = AT2 = 25.0°C. What
is the thermal conductivity of the stainless steel sam-
ple material? What is the average temperature of the
samples? Compare your result with the thermal con-
ductivity value reported for this material in Table A.1.
(b) By mistake, an Armco iron sample is placed in
the lower position of the apparatus with one of the
SS316 samples from part (a) in the upper portion. For
this situation, the heater draws 0.601 A at 100 V, and
the differential thermocouples indicate AT₁ = AT₂ =
15.0°C. What are the thermal conductivity and aver-
age temperature of the Armco iron sample?
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