A thin metal plate is insulated on the back and exposed to solar radiation on the front surface. The exposed surface of the plate has an absorptivity of 0.8 for solar radiation. If solar radiation is incident on the plate at a rate of 450 W/m 2 and the surrounding air temperature is 25°C, determine the surface temperature of the plate when the heat loss by convection equals the solar energy absorbed by the plate. Assume the convection heat transfer coefficient to be 50 W/m 2 ·°C, and disregard heat loss by radiation.
A thin metal plate is insulated on the back and exposed to solar radiation on the front surface. The exposed surface of the plate has an absorptivity of 0.8 for solar radiation. If solar radiation is incident on the plate at a rate of 450 W/m 2 and the surrounding air temperature is 25°C, determine the surface temperature of the plate when the heat loss by convection equals the solar energy absorbed by the plate. Assume the convection heat transfer coefficient to be 50 W/m 2 ·°C, and disregard heat loss by radiation.
Solution Summary: The author calculates the surface temperature of the metal plate when the heat loss by convection is equal to the solar energy absorbed by the plate.
A thin metal plate is insulated on the back and exposed to solar radiation on the front surface. The exposed surface of the plate has an absorptivity of 0.8 for solar radiation. If solar radiation is incident on the plate at a rate of 450 W/m2 and the surrounding air temperature is 25°C, determine the surface temperature of the plate when the heat loss by convection equals the solar energy absorbed by the plate. Assume the convection heat transfer coefficient to be 50 W/m2·°C, and disregard heat loss by radiation.
A flat plate has one surface insulated and the other exposed to the sun. The exposed surface absorbs solar radiation at a rate of 700 W/m2 and dissipates heat to the surrounding air at 350K. If the emissivity of the surface is 0.9 and the surface heat transfer coefficient is 10 W/m2.K, determine the surface temperature of the plate.
The solar radiation incident on the outside surface of an aluminum shading device is 1300 W/m2. Aluminum absorbs 10% of the incident solar energy, and dissipates it by convection from the back surface and by combined convection and radiation from the outside surface. The convection heat transfer coefficient is 10 W/m2·K for both surfaces, and the ambient/surrounding temperature can be taken 20 °C for both convection and radiation. Assuming that the aluminum shade has a uniform temperature, determine the temperature of the aluminum shading device if it is a) Polished, and b) Oxidized.
Consider the rate of heat conduction through a double-paned window that has a 1.6-m2 area and is made of two panes of 0.76-cm-thick glass separated by a 0.75-cm air gap. You can ignore the increased heat transfer in the air gap due to convection.
a. Calculate the rate of heat conduction through this window, in watts, given that the inside surface temperature is 15.0°C, while the outside temperature is -10.0°C. Make the assumption that the temperature differences across the two glass planes are equal. First find these and then the temperature drop across the air gap.
b. For comparison, calculate the rate of heat conduction, in watts, through a single 1.67-cm-thick window of the same area and with the same temperatures as in part (a).
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