Solve Problem 15.1 if, in addition to a varying cross sectional area, the thermal conductivity…

Solve Problem 15.1 if, in addition to a
varying cross sectional area, the thermal conductivity varies according to  where  temperature in Kelvin, and k is in W/m K. Compare this
result to that using a k value evaluated at the arithmetic mean temperature.

Problem 15.1

An asbestos pad is square in cross section,
measuring 5 cm on a side at its small end increasing linearly to 10 cm on a
side at the large end. The pad is 15 cm high. If the small end is held at 600 K
and the large end at 300 K, what heat-flow rate will be obtained if the four
sides are insulated? Assume one
»

Solve Problem 15.1 if, in addition to a
varying cross sectional area, the thermal conductivity varies according to  where  temperature in Kelvin, and k is in W/m K. Compare this
result to that using a k value evaluated at the arithmetic mean temperature.

Problem 15.1

An asbestos pad is square in cross section,
measuring 5 cm on a side at its small end increasing linearly to 10 cm on a
side at the large end. The pad is 15 cm high. If the small end is held at 600 K
and the large end at 300 K, what heat-flow rate will be obtained if the four
sides are insulated? Assume one dimensional heat conduction. The thermal
conductivity of asbestos may be taken as 0:173 W/mK:

 

»

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