Answer:
The rate of heat loss from the pipe by convection is 433113 Btu/h
Explanation:
Given that:
The length of the steam pipe = 300 ft
Temperature of the open space [tex]T_{air[/tex] = 50 ° F
Outside diameter = 4 ㏑ = 4/12 ft = 0.333 ft
Avg, temperature of the surface of the pie [tex]T_s[/tex] = 280° F
Avg. convection of heat transfer h = 6 Btu/h·ft²·°F
We are to Determine the rate of heat loss from the pipe by convection
Let first calculate the area of the heat transfer;
A = πdh
A = πdL
A = π× 0.333 ft ×300 ft
A = 313.85 ft²
The rate of heat loss from the pipe by convection can now be calculated by using the formula:
[tex]Q_{pipe} = hA ( T_s - T_{air})[/tex]
Replacing our values from above ; we have:
[tex]Q_{pipe} = 6* 313.85 ( 280 -50})[/tex]
[tex]Q_{pipe} = 1883.1*( 230})[/tex]
[tex]\mathbf{Q_{pipe} =433113 \ \ Btu/h }[/tex]
Therefore, the rate of heat loss from the pipe by convection is 433113 Btu/h
