Heat Loss Calculation for Pressurized Steam Flow through Pipe
The rate of heat loss per unit length of the pipe can be calculated using the formula:
Q = 2πK(T1-T2)/ln(1.08W/D)
Where:
Q = Rate of heat loss per unit length in W/m
K = Thermal conductivity in W/mK
T1 = Temperature of the steam at 400 K
T2 = Temperature of the outer surfaces of the casing at 300 K
W = Square cross-section of the concrete casing (1.75 m)
D = Diameter of the pipe (0.6 m)
When calculating the rate of heat loss, we first find the proper shape factor needed for the solution from the List of shape factor. We then use the formula to determine the heat loss per unit length of the pipe:
q = SK(T1-T2)
By further simplifying the equation, we get:
Q = q/L = 2πK(T1-T2)/ln(1.08W/D)
Substituting the given values into the formula, we get:
Q = 2π(1.7 W/mK)*(400 K - 300 K) / ln[ (1.08(1.75 m)/ 0.6 m ]
After calculation, we find that the rate of heat loss per unit length of the pipe is 930.92 W/m.
Therefore, in this scenario where pressurized steam flows through the pipe under specific temperature conditions, the rate of heat loss per unit length is calculated to be 930.92 watts per meter.