30.9k views
0 votes
A very long pipe of 0.05 m (r1) radius and 0.03 m thickness (r2 - r1) is buried at a depth of 2m (z) to transport liquid nitrogen. The pipe wall has a very low thermal conductivity of 0.0035 Wm- 1K-1 and receives a cooling power of 10 W/m to keep the liquid nitrogen at 77 K. If the thermal conductivity of the ground is 1 Wm-1K-1, what is the surface temperature of the ground

User Stepanie
by
5.0k points

1 Answer

4 votes

Answer:

See explaination

Step-by-step explanation:

thermal conductivity is A measure of the ability of a material to transfer heat. Given two surfaces on either side of the material with a temperature difference between them, the thermal conductivity is the heat energy transferred per unit time and per unit surface area, divided by the temperature difference.

Please kindly check attachment for the step by step solution of the given problem.

A very long pipe of 0.05 m (r1) radius and 0.03 m thickness (r2 - r1) is buried at-example-1
A very long pipe of 0.05 m (r1) radius and 0.03 m thickness (r2 - r1) is buried at-example-2
User Zzheads
by
5.4k points