An opaque, diffuse, gray, square (200 mm x 200 mm) plate with an emissivity of 0.8 is placed over the opening of a furnace (L = 200 mm) and the plate temperature is known to be 400 K at a certain instant. The bottom of the furnace, having the same dimensions as the plate, is black and operates at 1040 K. The sidewalls of the furnace are well insulated. The top of the plate is exposed to ambient air with a convection coefficient of 25 W/m².K and to large surroundings. The air and surroundings are each at 300 K. Air 9₁ = To h = W -Plate (a) Evaluate the net radiative heat transfer to the bottom surface of the plate, in W. T SUT -Insulated sidewalls -Furnace bottom O (b) If the plate has mass and specific heat of 2 kg and 900 J/kg-K, respectively, what will be the change in temperature of the plate with time, dTp/dt, in K/s? Assume convection to the bottom surface of the plate to be negligible. dT₁ = K/s dt

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An opaque, diffuse, gray, square (200 mm x 200 mm) plate with an emissivity of 0.8 is placed over the opening of a furnace (L = 200
mm) and the plate temperature is known to be 400 K at a certain instant. The bottom of the furnace, having the same dimensions as
the plate, is black and operates at 1040 K. The sidewalls of the furnace are well insulated. The top of the plate is exposed to ambient air
with a convection coefficient of 25 W/m².K and to large surroundings. The air and surroundings are each at 300 K.
Air
9₁ =
To
h
=
W
-Plate
(a) Evaluate the net radiative heat transfer to the bottom surface of the plate, in W.
T SUT
-Insulated sidewalls
-Furnace bottom
O
(b) If the plate has mass and specific heat of 2 kg and 900 J/kg-K, respectively, what will be the change in temperature of the plate with
time, dTp/dt, in K/s? Assume convection to the bottom surface of the plate to be negligible.
dT₁ =
K/s
dt
Transcribed Image Text:An opaque, diffuse, gray, square (200 mm x 200 mm) plate with an emissivity of 0.8 is placed over the opening of a furnace (L = 200 mm) and the plate temperature is known to be 400 K at a certain instant. The bottom of the furnace, having the same dimensions as the plate, is black and operates at 1040 K. The sidewalls of the furnace are well insulated. The top of the plate is exposed to ambient air with a convection coefficient of 25 W/m².K and to large surroundings. The air and surroundings are each at 300 K. Air 9₁ = To h = W -Plate (a) Evaluate the net radiative heat transfer to the bottom surface of the plate, in W. T SUT -Insulated sidewalls -Furnace bottom O (b) If the plate has mass and specific heat of 2 kg and 900 J/kg-K, respectively, what will be the change in temperature of the plate with time, dTp/dt, in K/s? Assume convection to the bottom surface of the plate to be negligible. dT₁ = K/s dt
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