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

An experimental arrangement for measuring the thermal conductivity of solid materials involves the use of two long rods that are equivalent in every respect, except that one is fabricated from a standard material of known thermal conductivity k_A while the other is fabricated from the material whose thermal conductivity k_B is desired. Both rods are attached at one end to a heat source of fixed temperature T_b, are exposed to a fluid of temperature T_∞, and are instrumented with thermocouples to measure the temperature at a fixed distance x₁ from the heat source. If the standard material is aluminum, with k_A = 210 W/mK, and measurements reveal values of T_A = 75^oC and T_B = 55 ^oC at x₁ for values of T_b = 100^oC and T_∞ = 25^oC, what is the thermal conductivity k_B of the test material?

k_B = W/mK

Expert Solution

samet mamat answered 2 years ago

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