A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of D = 0.400 m and a length of L=0.500 m, and operates at a temperature of T, = 200 °C. (a) If the temperature of the room is T, = 20°C, determine the amount of radiant energy delivered to the room by the stove each second if the emissivity of the stove is e = 0.920.

Elements Of Electromagnetics
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A wood stove is used to heat a single room. The stove is cylindrical in shape, with a
diameter of D = 0.400 m and a length of L = 0.500 m, and operates at a temperature
of T, = 200 °C.
(a) If the temperature of the room is T, = 20°C, determine the amount of radiant
energy delivered to the room by the stove each second if the emissivity of the
stove is e = 0.920.
(b) By definition, the R-value of a conducting slab is given by
Atot(Th – To)
Poond
R =
where Atot is the total surface area, Pcond is the power loss by conduction through
the slab, Th and Te are the temperatures on the hotter and cooler sides of the
slab. If the room has a square shape with walls of height H = 2.40 m and width
W = 7.60 m, determine the R-value of the walls and ceiling required to maintain
the room temperature at T = 20°C if the outside temperature is T, = 0°C.
Note that we are ignoring any heat conveyed by the stove via convection and any
energy lost through the walls and windows via convection or radiation.
Transcribed Image Text:A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of D = 0.400 m and a length of L = 0.500 m, and operates at a temperature of T, = 200 °C. (a) If the temperature of the room is T, = 20°C, determine the amount of radiant energy delivered to the room by the stove each second if the emissivity of the stove is e = 0.920. (b) By definition, the R-value of a conducting slab is given by Atot(Th – To) Poond R = where Atot is the total surface area, Pcond is the power loss by conduction through the slab, Th and Te are the temperatures on the hotter and cooler sides of the slab. If the room has a square shape with walls of height H = 2.40 m and width W = 7.60 m, determine the R-value of the walls and ceiling required to maintain the room temperature at T = 20°C if the outside temperature is T, = 0°C. Note that we are ignoring any heat conveyed by the stove via convection and any energy lost through the walls and windows via convection or radiation.
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