A circular disk (ignore its thickness) of D = 1 m diameter is placed over a barbecue pit maintained at T₁ = T2 = 600 K. The upper surface of the disk is exposed to quiescent ambient air and surroundings at 300 K. The bottom surface and top surface of the disk has emissivities of εd.1 = 1.0 and d2 = 0.9, respectively. The bottom and cylindrical side surface of the barbecue pit have emissivities of 81 = 0.6 and ɛ2 = 1.0, respectively. Assume the disk and barbecue pit surfaces are diffuse and gray. A) Determine the net heat transfer rate to the cover, qnet,d, when Ta= 500 K. B) Plot qnet,d as a function of the disk temperature for 300 K < Ta< 600 K, using Excel or MATLAB. What is the steady-state temperature of the disk? g Quiescent Air Tsur T300 K Disk- -Ed.2 = 0.9 Ed,1 = 1.0 -T₂, ₂ = 1 T₁, ₁ = 0.6; L= 0.5 m D=1m

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.66P
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A circular disk (ignore its thickness) of D = 1 m diameter is placed over a barbecue pit maintained
at T₁ = T2 = 600 K. The upper surface of the disk is exposed to quiescent ambient air and
surroundings at 300 K. The bottom surface and top surface of the disk has emissivities of εd.1 = 1.0
and d2 = 0.9, respectively. The bottom and cylindrical side surface of the barbecue pit have
emissivities of 81 = 0.6 and ɛ2 = 1.0, respectively. Assume the disk and barbecue pit surfaces are
diffuse and gray.
A) Determine the net heat transfer rate to the cover, qnet,d, when Ta= 500 K.
B) Plot qnet,d as a function of the disk temperature for 300 K < Ta< 600 K, using Excel or
MATLAB. What is the steady-state temperature of the disk?
g
Quiescent
Air
Tsur T300 K
Disk-
-Ed.2 = 0.9
Ed,1 = 1.0
-T₂, ₂ = 1
T₁, ₁ = 0.6;
L= 0.5 m
D=1m
Transcribed Image Text:A circular disk (ignore its thickness) of D = 1 m diameter is placed over a barbecue pit maintained at T₁ = T2 = 600 K. The upper surface of the disk is exposed to quiescent ambient air and surroundings at 300 K. The bottom surface and top surface of the disk has emissivities of εd.1 = 1.0 and d2 = 0.9, respectively. The bottom and cylindrical side surface of the barbecue pit have emissivities of 81 = 0.6 and ɛ2 = 1.0, respectively. Assume the disk and barbecue pit surfaces are diffuse and gray. A) Determine the net heat transfer rate to the cover, qnet,d, when Ta= 500 K. B) Plot qnet,d as a function of the disk temperature for 300 K < Ta< 600 K, using Excel or MATLAB. What is the steady-state temperature of the disk? g Quiescent Air Tsur T300 K Disk- -Ed.2 = 0.9 Ed,1 = 1.0 -T₂, ₂ = 1 T₁, ₁ = 0.6; L= 0.5 m D=1m
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