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Three surfaces form a 3-surface enclosure. The surfaces have the following properties. Surface 1: A1 = 1 m2. F11 = 0. F12 = 0. T1 = 300 K. Surface 2:...
Three surfaces form a 3-surface enclosure. The surfaces have the following properties. Surface
1: A1 = 1 m2. F11 = 0. F12 = 0.2. T1 = 300 K.
Surface 2: A2 = 0.8 m2. F22 = 0. T2 = 400 K.
Surface 3: F32 = 0.3.
All temperatures are constant and uniform.
a. Determine all unknown view (shape) factors and areas. [4]
b. Determine the rate of heat transfer between surface 1 and 2, q12 if all three surfaces are
black bodies. [2]
c. Determine the temperature of surface 3, T3, if all three surfaces are black bodies and the
net rate of heat transfer from surface 3 is q3 = 2018 W. [3]
For parts d, e, f and g assume all three surfaces are grey bodies with emissivities of ε1 = 0.1, ε2
= 0.5 and ε3 = 0.7. q''3 = 1009 W/m2 and J3 = 5555 W/m2.
d. Determine the radiosities of surface 1 and surface 2. [7]
e. Determine the rate of heat transfer between surface 1 and 3, q13. [1]
f. Determine the net rate of heat transfer from surface 1. [1]
g. Determine the temperature of surface 3, T3. [2]
