Radiation from a Surface to the Sky. A plane surface having an area of 1.0 m is insulated on the bottom side and is placed on the ground exposed to the atmosphere at night. The upper surface is exposed to air at 290 K, and the convective heat-transfer coefficient from the air to the plane is 12 W/m - K. The plane radiates to the clear sky. The effective radiation temperature of the sky can be assumed as 80 K. If the plane is a black body, calculate the temperature of the plane at equilibrium.
Radiation from a Surface to the Sky. A plane surface having an area of 1.0 m is insulated on the bottom side and is placed on the ground exposed to the atmosphere at night. The upper surface is exposed to air at 290 K, and the convective heat-transfer coefficient from the air to the plane is 12 W/m - K. The plane radiates to the clear sky. The effective radiation temperature of the sky can be assumed as 80 K. If the plane is a black body, calculate the temperature of the plane at equilibrium.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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4.11-7
Transcribed Image Text:G4.11.7 (Trial and Error Approach)
Radiation from a Surface to the Sky. A plane surface having
an area of 1.0 m is insulated on the bottom side and is
placed on the ground exposed to the atmosphere at night.
The upper surface is exposed to air at 290 K, and the
convective heat-transfer coefficient from the air to the plane
is 12 W/m - K. The plane radiates to the clear sky. The
effective radiation temperature of the sky can be assumed as
80 K. If the plane is a black body, calculate the temperature
of the plane at equilibrium.
Expert Solution
Step 1
The temperature of the plate at equilibrium is Ts = 266.4 K.
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