Heat Transfer and Combustion: Estimating Heat Loss in Insulated Pipes

In summary, the conversation discusses the heat loss of a pipe with an outside diameter of 200 mm that is lagged with insulating material. The pipe carries a process fluid at 300 °C and the outer surface of the lagging has an average temperature of 45 °C. The problem asks for the rate of heat loss per meter length of pipe, and explains why the thermal resistance of the pipe wall can be ignored. It is suggested to treat the outer wall as r2 and the outer insulative layer as r3.
  • #1
Tiberious
73
3
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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  • #2
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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1. How is heat transferred?

Heat can be transferred through three main methods: conduction, convection, and radiation. Conduction is the transfer of heat through direct contact between two objects. Convection involves the movement of heat through a fluid, such as air or water. Radiation is the transfer of heat through electromagnetic waves, such as from the sun or a fire.

2. What is the difference between conduction and convection?

The main difference between conduction and convection is the medium through which heat is transferred. Conduction occurs in solids or stationary fluids, while convection occurs in moving fluids. Additionally, conduction transfers heat through direct contact, while convection transfers heat through the movement of the fluid itself.

3. How does combustion produce heat?

Combustion is a chemical reaction in which a fuel combines with oxygen to produce heat, light, and other byproducts. The heat produced is a result of the release of energy from the breaking of chemical bonds in the fuel molecules.

4. What are the main factors that affect combustion?

The main factors that affect combustion include the availability of oxygen, the type and amount of fuel, and the temperature at which the combustion is taking place. Other factors such as pressure, turbulence, and the presence of catalysts can also influence the combustion process.

5. How is heat transfer and combustion used in everyday life?

Heat transfer and combustion play a crucial role in many aspects of everyday life. For example, heat transfer is used in cooking, heating buildings, and cooling systems. Combustion is used in engines to power vehicles, in heating systems for homes and buildings, and in various industrial processes such as power generation and manufacturing.

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