Heat conduction & fins

Steady heat flow through layered walls and insulated pipes, and along fins: U-value, heat loss, the temperature at every interface, the critical radius of insulation, and fin efficiency and effectiveness.

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INPUTSI · mm · W · °C

1 · What conducts System

2 · Layers inside → outside · thickness 0 = not used

Layer 1 · thickness [mm] k [W/(m·K)]

Layer 2 · thickness [mm] k [W/(m·K)]

Layer 3 · thickness [mm] k [W/(m·K)]

Layer 4 · thickness [mm] k [W/(m·K)]

Layer 5 · thickness [mm] k [W/(m·K)]

k from the product datasheet, or the design values of EN ISO 10456 for building materials.

3 · Surfaces and temperatures Surface resistances

Inside T_i [°C] Outside T_o [°C]

Wall area A [m²]

Results update as you type.

TEMPERATURE THROUGH THE WALL

U-VALUE0.302 W/(m²·K)

q · HEAT FLUX7.56 W/m²

Q · THROUGH THE AREA75.6 W

R · TOTAL3.307 m²·K/W

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HOW IT'S CALCULATED · WITH YOUR NUMBERS

Step by step, with your numbers

01
Equilibrium████ ██ ███████ · ██████ = ██.██
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Reactions████ ██ ███████ · ██████ = ██.██
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Shear force████ ██ ███████ · ██████ = ██.██
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Bending moment████ ██ ███████ · ██████ = ██.██
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Deflection████ ██ ███████ · ██████ = ██.██
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Stress████ ██ ███████ · ██████ = ██.██

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Fourier's law, thermal resistances in series; surface resistances to EN ISO 6946; fin solutions from Incropera & DeWitt, Fundamentals of Heat and Mass Transfer, Table 3.4.

BEYOND ONE DIMENSION

Thermal bridges, transient heating, radiation and conjugate CFD — we model the real geometry.

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