Cylindrical insulation heat flow calculator

Calculate radial conduction heat flow and thermal resistance with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use radial conduction heat flow and thermal resistance to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Inner radius (m)
0.025
Outer radius (m)
0.05
Length (m)
10
Conductivity (W/(m K))
0.04
Temperature difference (K)
50
Radial conduction heat flow (W)
181.294406
Thermal resistance (K/W)
0.275795

Try another scenario

Inner radius (m)
0.027500000000000004
Outer radius (m)
0.05
Length (m)
10
Conductivity (W/(m K))
0.04
Temperature difference (K)
50
Radial conduction heat flow (W)
210.197271
Thermal resistance (K/W)
0.237872
Calculation method

Calculation method

Radial conduction heat flow (W)

R=ln(ro/ri)/(2πkL); Q=deltaT/R.

Thermal resistance (K/W)

R=ln(ro/ri)/(2πkL); Q=deltaT/R.

Symbols and units
a
Inner radius (m)
b
Outer radius (m)
c
Length (m)
d
Conductivity (W/(m K))
e
Temperature difference (K)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Uniform cylinder, no ends or convective surface films. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Uniform cylinder, no ends or convective surface films.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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