# hw05 - time Why(b For an initial solid temperature T i...

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NCSU MAE310 H OMEWORK #5 Read Chapter 5. Provide a clear concise solution for each of the following conductive heat transfer problems. 1. A furnace of cubical shape with external dimensions of 0.35 m is constructed from a refractory brick having thermal conductivity k=1.15 W/m•K. If the wall thickness is 50 mm, the inner surface temperature is 600°C, and the outer surface temperature is 75°C, calculate the heat loss from the furnace. 2. A solid having volume V, surface area A s , and thermal conductivity k is exposed to a fluid with convective heat transfer coefficient h and ambient temperature T . For Biot number Bi<<1, (a) The solid’s spatial temperature distribution is uniform (isothermal) at each instant in
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Unformatted text preview: time. Why??? (b) For an initial solid temperature T i , derive the temperature in the solid as a function of time and the total heat transfer rate. 3. An aluminum cube 5 cm on a side is initially at uniform temperature 100°C and is suddenly exposed to room air at 25°C. The convective heat transfer coefficient is 20 W/m 2 •K. Calculate the time required for the geometric center temperature to reach 50°C. 4. Beginning with a differential control volume, derive the general unsteady conduction equation in Cartesian coordinates for constant properties....
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