Heat Transfer and Combustion: Estimating Heat Loss in Insulated Pipes

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SUMMARY

The discussion focuses on estimating heat loss in insulated pipes, specifically a pipe with an outside diameter of 200 mm, insulated with a material of thermal conductivity 0.06 W m–1 K–1 and thickness 75 mm. The process fluid temperature is 300 °C, while the outer surface temperature of the insulation is 45 °C. The relevant equation for calculating heat loss is Φ=2πLk(T1−T2) / ln(r2/r1). Participants confirm that the thermal resistance of the pipe wall can be ignored for this calculation, and the heat loss should be calculated per meter of both the pipe and insulation.

PREREQUISITES
  • Understanding of thermal conductivity and its units (W m–1 K–1).
  • Familiarity with heat transfer equations, specifically the formula for cylindrical coordinates.
  • Knowledge of insulation materials and their properties.
  • Basic principles of thermal resistance in heat transfer.
NEXT STEPS
  • Study the derivation and application of the heat transfer equation Φ=2πLk(T1−T2) / ln(r2/r1).
  • Research the impact of different insulation materials on heat loss in pipes.
  • Learn about the significance of thermal resistance in various materials and applications.
  • Explore practical examples of heat loss calculations in industrial piping systems.
USEFUL FOR

Engineers, thermal analysts, and anyone involved in the design and optimization of insulated piping systems will benefit from this discussion.

Tiberious
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Question:

A pipe of outside diameter 200 mm is lagged with an insulating material of thermal conductivity 0.06 W m–1 K–1 and thickness 75 mm. The pipe carries a process fluid at a temperature of 300 °C and the average temperature of the outer surface of the lagging is 45 °C.

(a) Estimate the rate of heat loss per metre length of pipe.

(b) Explain why the thermal resistance of the pipe wall can be ignored.

Relevant Equation:

Φ=2πLk(T −T ) 12 / in (r2/r1)

Solution:

Should I be calculating the heat loss per metre of the insulation? The pipe has no dimensions provided e.g. wall thickness. So, I assume this is the case. Any feedback is appreciated.

Or, should I treat this as the outer wall is r2 and the outer insulative later is r3.
 
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Hello T,

You can assume some material and thickness for the pipe (dn200, probably), but the wording of the exercise makes one guess it shouldn't matter much. Your
Tiberious said:
treat this as the outer wall is r2 and the outer insulative later is r3
sounds like a good idea to me. See what comes out.
And yes, if (a) says per meter of pipe, then that is also per meter of insulation; both lengthwise.
 
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