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An experimental arrangement for measuring the thermal conductivity of solid materials involves the use of two...

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Mechanical Engineering

An experimental arrangement for measuring the thermalconductivity of solid materials involves the use of two long rodsthat are equivalent in every respect, except that one is fabricatedfrom a standard material of known thermal conductivitykA while the other is fabricated from the material whosethermal conductivity kB is desired. Both rods areattached at one end to a heat source of fixed temperatureTb, are exposed to a fluid of temperature T∞,and are instrumented with thermocouples to measure the temperatureat a fixed distance x1 from the heat source. If thestandard material is aluminum, with kA = 210 W/mK, andmeasurements reveal values of TA = 75oC andTB = 55 oC at x1 for values ofTb = 100oC and T∞ =25oC, what is the thermal conductivity kB ofthe test material?

kB =   W/mK

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