Solve the below:
Q: A steam pipe 200 mm in diameter passes through a large basement room. The temperature of the pipe wall is 500°C, while that of the ambient air in the room is 20°C. Determine the heat transfer rate by convection and radiation per unit length of steam pipe if the emissivity of the pipe surface is 0.8 and the natural convection heat transfer coefficient has been determined to be 10 W/(m2 K).
GIVEN
A steam pipe passing through a large basement room
Pipe diameter (?^?) = 200 mm = 0.2 m
The temperature of the pipe wall (Tp) = 500°C = 773 K
Temperature of ambient air in the room (T?^?) = 20°C = 293 K
Emissivity of the pipe surface (e) = 0.8
Natural convection heat transfer coefficient (hc) = 10 W/(m2 K)
ASSUMPTIONS
Steady state prevails
The walls of the room are at the same temperature as the air in the room
The walls of the room are black (e =1.0)
