A cylindrical tube has an inner diameter of 2 cm and a wall thickness of 1 cm. The tube is evacuated. In the center, there is a radiation source along its axis that sends 1e^5 W/m^2 to the inner surface of the tube. K for the tube wall is 2 W/m K. If the outer surface of the tube is cooled with water at 298 K with a convective heat transfer coefficient of 100 W/m^2 K, determine the minimum temperature rating for the tube material for safe operation.
A cylindrical tube has an inner diameter of 2 cm and a wall thickness of 1 cm. The tube is
evacuated. In the center, there is a radiation source along its axis that sends 1e^5 W/m^2
to the inner surface of the tube. K for the tube wall is 2 W/m K. If the outer surface of
the tube is cooled with water at 298 K with a convective heat transfer coefficient of 100
W/m^2 K, determine the minimum temperature rating for the tube material for safe
operation.
Given:
Inner diameter of the tube is
So the inner radius of the tube is
Thickness of the wall
So the outer radius of the tube is
Thermal conductivity of the tube
Temperature of the water is 298 K
Convective heat transfer coefficient
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
how did you find the equation for L in step 2 and also why isnt h mulplied by the Area when solving for the total resistance?