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.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.22P: A cylindrical liquid oxygen (LOX) tank has a diameter of 1.22 m, a length of 6.1 m, and...
icon
Related questions
Question
100%

4.11-7

 

 

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.
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.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Atomic Diffusion in Solids
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning