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Temperature Measurement · Free Calculator

Wall Heat Conduction Calculator (Multi Layer)

Calculate heat flow through a flat wall made of up to three layers, such as steel, refractory and insulation, with inside and outside film coefficients. The calculator gives the U value, heat flux and interface temperatures.

Fourier lawU valueInterface temperaturesUp to three layers
°C
°C
W/m²·K
W/m²·K
W/m·K
W/m·K
W/m·K
m²
Heat flux176.9 W/m²
Heat flow through area0.1769 kW
U value0.4716 W/m²·K
Outside surface temperature42.69 °C
How this result was calculated
  1. Rtotal = 1/hi + ΣL/k + 1/ho = 2.12 m²·K/W
  2. q = ΔT ÷ Rtotal = 176.9 W/m²
  3. Each interface: T = previous T − q × R of the layer

Temperature profile

PositionTemperature °CResistance before m²·K/W
Inside surface (layer 1 hot face)396.50.02
Layer 1 / layer 2396.40.000222
Layer 2 / layer 342.692
Outside surface42.693.13 × 10^−6
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Conduction Through Layers

q = (Ti − To) ÷ (1/hi + L₁/k₁ + L₂/k₂ + L₃/k₃ + 1/ho)
U = 1 ÷ Rtotal
Tnext = Tprevious − q × Rlayer

L is each layer thickness, k its thermal conductivity, hi and ho the inside and outside film coefficients. This is one dimensional steady conduction through flat layers; for pipes use the pipe heat loss calculator. Typical k: carbon steel about 45, stainless about 16, mineral wool about 0.04 to 0.05 W/m·K.

Worked example

A 10 mm steel wall at 400 °C inside, with 100 mm of mineral wool (k 0.05) and 0.5 mm aluminium cladding, loses about 176 W/m²; the cladding is at about 43 °C.

Key insight: the insulation layer carries almost the whole temperature drop. The steel and cladding barely matter, which is why you can measure process temperature fairly well with a surface sensor on bare steel but not through insulation.
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Frequently Asked Questions

What is a U value?

The overall heat transfer coefficient of the wall: heat flow per square metre per degree of temperature difference.

Why include film coefficients?

Heat must pass from the fluid into the wall and from the wall to the air. These surface resistances can be significant, especially outside.

Can I use it for a tank wall?

Yes for large tanks, where the wall is nearly flat. For pipes and small vessels use the cylindrical formula.

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