BIZOMAT MAKEOS · Materials

Heat Loss from an Insulated Pipe

How much heat does this insulated pipe lose, and how hot is the outside surface?

Heat loss per metre and in total from an insulated pipe by radial conduction and surface convection, the outer surface temperature and the yearly energy cost.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Pipe outside diametermmOutside diameter of the pipe (e.g. 60.3 mm for DN50).
Insulation thickness (0 = bare)mmInsulation thickness; 0 for bare pipe.
Insulation conductivityW/(m·K)Conductivity of the insulation at its mean temperature (mineral wool about 0.04 W/m·K).
Pipe temperature°CTemperature of the pipe wall (fluid temperature).
Ambient temperature°CSurrounding air temperature.
Outside surface coefficientW/(m²·K)Combined convection and radiation coefficient at the outer surface (about 8–12 still air indoors; higher outdoors and for bare metal).
Pipe lengthmLength of pipe.
Operating hours per yearhHours per year the line is hot.
Heat energy priceAUD/kWhCost of heat delivered (fuel price ÷ boiler efficiency).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Pipe outside diameter
Illustration: Pipe outside diameterA circle with a line straight through its centre from edge to edge, marking the diameter Pipe outside diameter.Dmeasured acrossthe centreExample: 60.3 mmPipe outside diameter
What it is
The outside diameter of the bare pipe that the insulation is fitted onto.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 5000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 60.3 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the actual outside diameter for the pipe size, not the nominal size (DN).
What this means: Insulation thickness (0 = bare)
Illustration: Insulation thickness (0 = bare)The cross-section of a plate or wall with a dimension across its thickness, marking Insulation thickness (0 = bare).tsection through the materialExample: 50 mmInsulation thickness (0 = bare)
What it is
The thickness of the insulation layer around the pipe; zero treats the pipe as bare.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Thicker insulation lowers the heat loss and the outer surface temperature.
Get it right
Zero means a bare pipe, which uses only the outside surface coefficient.
What this means: Insulation conductivity
Illustration: Insulation conductivityHeat flowing from a hot side to a cold side through a wall or into a material; Insulation conductivity sets how much heat moves or is stored.hotcoldkExample: 0.04 W/(m·K)Insulation conductivity
What it is
The thermal conductivity of the insulation material at its mean temperature, from the insulation maker’s data.
Units and format
Enter a number in W/(m·K): W/(m·K). The form accepts 0.005 W/(m·K) to 5 W/(m·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.04 W/(m·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the value at the mean insulation temperature; conductivity increases with temperature.
What this means: Pipe temperature
Illustration: Pipe temperatureA thermometer whose level rises with Pipe temperature; the level follows the value you type.TiExample: 150 °CPipe temperature
What it is
The temperature of the pipe wall, taken as the temperature of the fluid inside.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -200 °C to 1000 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 150 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Heat loss rises in direct proportion to the difference between pipe and ambient temperature.
Get it right
Enter degrees Celsius.
What this means: Ambient temperature
Illustration: Ambient temperatureA thermometer whose level rises with Ambient temperature; the level follows the value you type.TaExample: 20 °CAmbient temperature
What it is
The temperature of the air surrounding the pipe.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -60 °C to 100 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the air temperature around the pipe, which can be higher in plant rooms than outdoors.
What this means: Outside surface coefficient
Illustration: Outside surface coefficientHeat flowing from a hot side to a cold side through a wall or into a material; Outside surface coefficient sets how much heat moves or is stored.hotcoldhExample: 10 W/(m²·K)Outside surface coefficient
What it is
The combined convection and radiation coefficient at the outer surface, describing how readily heat leaves the outside of the insulation or bare pipe.
Units and format
Enter a number in W/(m²·K): watts per square metre per kelvin. The form accepts 1 W/(m²·K) to 1000 W/(m²·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 W/(m²·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from a heat transfer reference for the surface finish and air movement; wind raises it outdoors.
What this means: Pipe length
Illustration: Pipe lengthA bar with a dimension line and arrows from one end to the other, marking the length Pipe length.LExample: 50 mPipe length
What it is
The total length of pipe of this size and insulation that is losing heat.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 1000000 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Total heat loss and yearly cost rise in direct proportion to length.
What this means: Operating hours per year
Illustration: Operating hours per yearA timeline from a start mark to an end mark; Operating hours per year is the time between them.startendh/yExample: 6000 hOperating hours per year
What it is
The number of hours each year that the pipe is hot.
Units and format
Enter a number in h: hours. The form accepts 0 h to 8784 h. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6000 h as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Yearly energy and cost rise in direct proportion.
Get it right
Count only the hours the line is actually at temperature.
What this means: Heat energy price
Illustration: Heat energy priceA price tag on one unit of measure; Heat energy price is the cost for each unit (per hour, per kilogram and so on).Pcost foreach unitExample: 0.08 AUD/kWhHeat energy price
What it is
The cost of one kilowatt-hour of heat delivered to the pipe, which is the fuel price divided by the boiler or heater efficiency.
Units and format
Enter a number in AUD/kWh: Australian dollars per kilowatt-hour. The form accepts 0 AUD/kWh to 100 AUD/kWh. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.08 AUD/kWh as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Yearly cost rises in direct proportion.
Get it right
Use the cost of delivered heat, not the raw fuel or electricity price.

Method and formulas

  1. Resistance per metre R = ln(r₂ ÷ r₁) ÷ (2π k) + 1 ÷ (2π r₂ h).
  2. Heat loss per metre q = (Ti − Ta) ÷ R; total = q × L.
  3. Surface temperature = Ta + q ÷ (2π r₂ h); cost = loss × hours × price.
  4. Example: 50 mm insulation on a 60.3 mm pipe at 150 °C loses 31.794 W/m; the surface runs at 26.313 °C.

Limitations

  • Steady state; the pipe wall resistance is neglected and the surface coefficient is user-estimated.
  • Valves, flanges and supports lose much more per metre if left bare.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Choose insulation thickness for steam, hot water or oil lines
  • Estimate savings from insulating bare pipe
  • Check surface temperature for burn protection

Who it is for

  • Process engineers
  • Energy managers
  • Maintenance engineers

What you get

  • Heat loss per metre and total
  • Outer surface temperature
  • Energy and cost per year

Interpreting the result

  • Compare the cost per year with insulation cost to find the payback; check surface temperature for safety.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 371–378. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

  • Method explained here · BIZOMAT original book

    Cold pipes, sweating and insulation

    In Condensation Control by the Numbers

    What it covers: How much water a cold pipe gathers in humid air, the insulation thickness that keeps its surface above the dew point, why a vapour barrier matters, and the valves left bare for access.

  • Method explained here · BIZOMAT original book

    Transfer: hoses, lines and phase separators

    In Cryogenic Liquids by the Numbers

    What it covers: The nitrogen spent cooling a hose, its heat gain insulated and bare, the share that arrives as gas, phase separators and hose safety, and a slow top-up that delivered mostly vapour.

  • Method explained here · BIZOMAT original book

    Heat Transfer by the Numbers

    What it covers: Calculate heat flows in plant: energy and power, conduction through walls and pipe insulation, convection, radiation, economic insulation, heat exchangers and heating and cooling times.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Heat Loss from an Insulated Pipe calculator