Layered-wall conduction calculator

Calculate area-normalized thermal resistance and conduction heat flow with your own figures.

Your numbers

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

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

Examples

Examples

Try the starting example

Layers JSON [[thickness m, conductivity W/(m K)],...]
[[0.1,0.04],[0.015,0.2]]
Wall area (m²)
10
Hot-minus-cold temperature (K)
20
Area-normalized thermal resistance (m² K/W)
2.575
Conduction heat flow (W)
77.669903

Try another scenario

Layers JSON [[thickness m, conductivity W/(m K)],...]
[[1.1,0.04],[0.015,0.2]]
Wall area (m²)
10
Hot-minus-cold temperature (K)
20
Area-normalized thermal resistance (m² K/W)
27.575
Conduction heat flow (W)
7.252947
Calculation method

Calculation method

Area-normalized thermal resistance (m² K/W)

Series layers: Rarea=sum(thickness/conductivity); Q=area deltaT/Rarea.

Conduction heat flow (W)

Series layers: Rarea=sum(thickness/conductivity); Q=area deltaT/Rarea.

Symbols and units
a
Layers JSON [[thickness m, conductivity W/(m K)],...]
b
Wall area (m²)
c
Hot-minus-cold temperature (K)

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

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Steady one-dimensional conduction, no surface films or bridges. 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. Steady one-dimensional conduction, no surface films or bridges.
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Further reading

Method reference ↗

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

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