Determine the thermal conductivity of the carbon nanotube of Example 3.4 when the heating island temperature is

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Determine the thermal conductivity of the carbon nanotube of Example 3.4 when the heating island temperature is measured to be T= 332.6 K, without evaluating the thermal resistances of the supports. The conditions are the same as in the example.


Example 3.4

The thermal conductivity of a D = 14-nm-diameter carbon nanotube is measured with an  instrument that is fabricated of a wafer of silicon nitride at a temperature of T∞ = 300K. The 20-m-long nanotube rests on two 0.5-μm-thick, 10 μm X 10 μm square islands that are  separated by a distance s = 5 μm. A thin layer of platinum is used as an electrical resistor on  the heated island (at temperature Th) to dissipate q = 11.3 μW of electrical power. On the  sensing island, a similar layer of platinum is used to determine its temperature, Ts. The platinum’s  electrical resistance, R(Ts) = E/I, is found by measuring the voltage drop and electrical  current across the platinum layer. The temperature of the sensing island, Ts, is then determined from the relationship of the platinum electrical resistance to its temperature.

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Fundamentals Of Heat And Mass Transfer

ISBN: 9780470501979

7th Edition

Authors: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt

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