Example Problems
Here are some example problems based on the material
in this lesson. I encourage you to read them,
think about them and maybe give them a try yourself. Then click on the
solution link at the end of each problem to see my solution and a good explanation.
Click on the Help Blog link to see questions and answers about each problem.
4B-1 :
Radiation Heating and Convective Cooling of a Flat Plate
3 pts
A thin, metal plate is insulated on the back surface and exposed to solar radiation on the front surface, as shown here. The exposed surface of the plate has an absorptivity of α = 0.6 for solar radiation. If solar radiation is incident on the plate at a rate of 700 W/m2 and the surrounding air temperature is 25°C, determine the temperature of the exposed surface of the plate at steady-state. Assume the convection heat transfer coefficient is 50 W/m2-K and disregard heat loss by radiation.
_image1_
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4B-2 :
Heat Transfer Through the Wall of a House
3 pts
An insulated frame wall of a house has an average thermal conductivity of 0.0318 Btu/h-ft-°R. The wall is 6 in thick and it has an area of 160 ft2. The inside air temperature is 70°F and the heat transfer coefficient for convection between the inside air and the wall is 1.5 Btu/h-ft2-°R. On the outside of the wall, the convection heat transfer coefficient is 6 Btu/h-ft2-°R and the air temperature is -10°F. Ignoring radiation, determine the rate of heat transfer through the wall at steady-state in Btu/h.
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4B-3 :
Surface Temperature of a Spacecraft
4 pts
The outer surface of a spacecraft has an emissivity of 0.8 and an absorptivity of 0.3 for solar radiation. If solar radiation is incident on the spacecraft at a rate of 1000 W/m2, determine the temperature of the surface of the spacecraft when the radiation emitted equals the solar energy absorbed.
_image1_
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