BIZOMAT MAKEOS · Materials

Pipe Insulation Design (Thickness for Surface Temperature and Loss, Payback)

How thick must the insulation on this hot pipe be to keep the surface safe and the heat loss within target, and how quickly does it pay back?

Design of insulation on a hot pipe: heat loss per metre, surface temperature and annual energy cost for a thickness (as the insulated pipe tool), the least thickness that keeps the surface at or below your touch limit and the least that holds the loss per metre to your target (found by search), the governing thickness, and for the thickness chosen the saving against the bare pipe and the simple payback on the installed 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.
Fluid (pipe) temperature°CTemperature of the pipe (taken as the fluid temperature).
Ambient temperature°CSurrounding air temperature.
Insulation conductivityW/m·KThermal conductivity of the insulation at its mean temperature.
Outside surface coefficientW/m²·KCombined convection and radiation coefficient at the outer surface (about 8–12 still air indoors, more outdoors).
Pipe lengthmLength of pipe.
Hours per yearhHours per year the pipe is hot.
Energy price$/kWhPrice of the heat energy (fuel or steam cost per kWh).
Largest surface temperature°CHighest surface temperature you allow for personnel protection.
Largest heat loss per metreW/mLargest heat loss per metre you accept.
Insulation thickness chosenmmInsulation thickness you intend to fit.
Installed insulation cost$/mInstalled cost of the insulation per metre of pipe.

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 wraps around.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 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, not the nominal pipe size (DN).
What this means: Fluid (pipe) temperature
Illustration: Fluid (pipe) temperatureA thermometer whose level rises with Fluid (pipe) temperature; the level follows the value you type.T_iExample: 150 °CFluid (pipe) temperature
What it is
The temperature of the pipe surface under the insulation, taken as the temperature of the fluid inside it.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -50 °C to 800 °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 proportion to the difference between pipe and ambient temperatures.
Get it right
Use the normal running temperature, not a short peak.
What this means: Ambient temperature
Illustration: Ambient temperatureA thermometer whose level rises with Ambient temperature; the level follows the value you type.T_aExample: 20 °CAmbient temperature
What it is
The temperature of the surrounding air near the pipe.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -50 °C to 60 °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
It must be below the pipe temperature, or the tool stops.
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·KInsulation conductivity
What it is
The thermal conductivity of the insulation material at its mean working temperature, from the manufacturer’s data sheet.
Units and format
Enter a number in W/m·K: W/m·K. The form accepts 0.01 W/m·K to 1 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.
Effect on the result
A higher conductivity needs a thicker layer for the same loss.
Get it right
Conductivity rises with temperature; use the value at the mean of pipe and surface temperatures.
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·KOutside surface coefficient
What it is
The combined convection and radiation heat transfer coefficient at the outer surface of the insulation or jacket, from a heat transfer reference or your data for the setting.
Units and format
Enter a number in W/m²·K: watts per square metre per kelvin. The form accepts 1 W/m²·K to 100 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
Wind outdoors and a shiny or dull jacket both change it.
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 length of pipe being insulated. It scales the annual loss, saving and installed cost.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 100000 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.
What this means: Hours per year
Illustration: Hours per yearA timeline from a start mark to an end mark; Hours per year is the time between them.startendtExample: 6000 hHours per year
What it is
The number of hours per year the pipe carries hot fluid, from operating records or the shift pattern.
Units and format
Enter a number in h: hours. The form accepts 0.000001 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
Annual cost of loss and saving rise in proportion; payback falls.
What this means: Energy price
Illustration: Energy priceA price tag on one unit of measure; Energy price is the cost for each unit (per hour, per kilogram and so on).$cost foreach unitExample: $0.08/kWhEnergy price
What it is
The cost of one kilowatt-hour of heat delivered to the pipe, allowing for fuel price and boiler efficiency, from your energy team or bills.
Units and format
Enter a number in $/kWh: money per kilowatt-hour. The form accepts $0/kWh to $10/kWh. Required: the tool does not calculate until every input is valid.
Example
The form opens with $0.08/kWh as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Savings rise in proportion and payback falls.
Get it right
Use the cost of heat, not the electricity tariff, unless the heat is electric.
What this means: Largest surface temperature
Illustration: Largest surface temperatureA thermometer whose level rises with Largest surface temperature; the level follows the value you type.Tₛ maxExample: 50 °CLargest surface temperature
What it is
The highest outer surface temperature you allow, typically for protection against burns, set by your safety requirements or applicable standard.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -50 °C to 200 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from your work health and safety requirements; the tool does not set one.
What this means: Largest heat loss per metre
Illustration: Largest heat loss per metreHeat flowing from a hot side to a cold side through a wall or into a material; Largest heat loss per metre sets how much heat moves or is stored.hotcoldq maxExample: 40 W/mLargest heat loss per metre
What it is
The largest heat loss per metre of pipe you accept, from an energy target, process temperature drop limit or specification.
Units and format
Enter a number in W/m: W/m. The form accepts 0.1 W/m to 10000 W/m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 W/m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Insulation thickness chosen
Illustration: Insulation thickness chosenThe cross-section of a plate or wall with a dimension across its thickness, marking Insulation thickness chosen.tsection through the materialExample: 50 mmInsulation thickness chosen
What it is
The insulation thickness you intend to fit, measured radially from the pipe surface to the outside of the insulation.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 500 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.
Get it right
Thickness is radial, not the added outside diameter: the outside diameter grows by twice it.
What this means: Installed insulation cost
Illustration: Installed insulation costA price tag on one unit of measure; Installed insulation cost is the cost for each unit (per hour, per kilogram and so on).$cost foreach unitExample: $30/mInstalled insulation cost
What it is
The installed cost of insulating one metre of pipe, including material, jacketing and labour, from a quotation.
Units and format
Enter a number in $/m: money per m. The form accepts $0/m to $10000/m. Required: the tool does not calculate until every input is valid.
Example
The form opens with $30/m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Payback is proportional to installed cost.

Method and formulas

  1. Resistance per metre R = ln(r₂ ÷ r₁) ÷ (2πk) + 1 ÷ (2π r₂ h); loss q = (T_i − T_a) ÷ R; surface T_s = T_a + q ÷ (2π r₂ h) (as the insulated pipe tool).
  2. Least thickness for T_s ≤ limit and for q ≤ target found by bisection; the larger governs.
  3. Saving = (q_bare − q) × L × hours × price; payback = installed cost ÷ saving.
  4. Example: 50 mm of insulation cuts the loss from 246.27 to 31.794 W/m, keeps the surface at 26.313 °C, and pays back in 0.29141 years.

Limitations

  • Steady state with the pipe wall neglected; fittings and valves lose much more per metre.
  • For small pipes with poor insulation, check the critical radius (insulation can raise the loss).
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Choose insulation thickness for a steam or hot-oil line
  • Make a pipe safe to touch
  • Justify insulating bare pipework

Who it is for

  • Plant engineers
  • Energy managers
  • Maintenance engineers

What you get

  • Thickness for surface temperature and for heat loss
  • Loss, surface temperature and cost at the chosen thickness
  • Saving against bare pipe and payback

Interpreting the result

  • The first 25 mm saves most of the heat; extra thickness gives diminishing returns.

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

    Economic insulation thickness

    In Heat Transfer by the Numbers

    What it covers: Choose how thick to insulate by weighing installed cost against the value of heat saved: annual losses, simple payback, marginal payback, discounted totals and the effect of a higher heat price.

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 Pipe Insulation Design (Thickness for Surface Temperature and Loss, Payback) calculator