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Uf, Ug, Uw and Ψ: what window thermal transmittance values mean

How the frame, glass and whole-window coefficients differ, how they are calculated to EN ISO 10077-1 and why the spacer can decide whether a window meets the code.

Glass fins and perforated panels on a public building facade

Aluminium system catalogues and quotations are full of Uf, Ug, Uw and Ψ. They are often confused, or incomparable values are compared — Uf of one system against Uw of another. Here is what each coefficient means.

What U means

Thermal transmittance U shows how much heat (in watts) passes through 1 m² of a construction for a 1 K temperature difference between inside and outside air. The unit is W/(m²·K). The lower the value, the better the unit keeps heat in.

Ukrainian building codes use the inverse — thermal resistance R in m²·K/W. For a quick estimate, R ≈ 1/U.

Ug — glass

Ug describes the centre of the glazing unit, without edge effects. It is calculated to EN 673. For orientation:

  • single glass — about 5.7 W/(m²·K);

  • ordinary double glazing without coatings — 1.8–3;

  • triple glazing — 0.5 to 1 depending on coatings and gas fill.

The biggest improvements come from low-emissivity coatings and inert gas fills (argon or krypton).

Uf — frame

Uf is the thermal transmittance of the frame and sash profile, calculated to EN ISO 10077-2 by numerical modelling of the section. For aluminium, Uf is governed mainly by the thermal break — the polyamide insert between the outer and inner profile halves. For comparison, an aluminium frame without a thermal break has a Uf of around 6.8, and with a 42 mm insulating profile around 1.3 W/(m²·K).

Ψ — glass edge

Ψg (psi) is the linear thermal transmittance where the glazing unit sits in the frame. Here heat bypasses the insulation through the spacer and glass edge. Ψ is measured in W/(m·K) and multiplied by the glass perimeter. An aluminium spacer gives a noticeably higher Ψ than a warm-edge spacer made of polymer composites or stainless steel.

Uw — the whole window

Uw is the resulting coefficient for the whole window. Per EN ISO 10077-1:

Uw = (Ag·Ug + Af·Uf + lg·Ψg) / (Ag + Af)

where Ag and Af are the glass and frame areas and lg is the visible glass perimeter.

An important consequence: Uw depends on window size and division. A narrow window with several sashes has a larger frame share and a longer glass perimeter, so its Uw is worse than that of a large fixed window with the same profile and glass. That is why EN 14351-1 uses a reference window size of 1.23 × 1.48 m for declared values.

Worked example

Take a 1.23 × 1.48 m (1.82 m²) single-sash window. Illustrative inputs:

  • glass area Ag = 1.32 m², Ug = 0.6;

  • frame area Af = 0.50 m², Uf = 1.6;

  • glass perimeter lg = 4.62 m.

With a warm-edge spacer (Ψ = 0.04): Uw = (0.79 + 0.80 + 0.18) / 1.82 ≈ 0.98 W/(m²·K), so R ≈ 1.02 m²·K/W — the zone I requirement (0.90) is met.

With an aluminium spacer (Ψ = 0.11): Uw ≈ (0.79 + 0.80 + 0.51) / 1.82 ≈ 1.15 W/(m²·K), R ≈ 0.87 — the zone I requirement is not met.

Same profile, same glass — and the outcome depends on a spacer costing a few percent of the window.

The values in the example are illustrative and only show the method. For a real project use data from the system and glazing manufacturers.

How to read catalogues

  1. Compare like with like: Uf with Uf, Uw with Uw.

  2. Check which size and configuration a Uw value refers to.

  3. Check whether Ψ is included and which spacer was assumed.

  4. Facades use the equivalent Ucw, calculated to EN ISO 12631.

Common myths

  • “More chambers in the profile means warmer.” For aluminium, the width and design of the thermal break matter, not the chamber count as such.

  • “A four-pane unit is always better than triple glazing.” Coatings, gas and cavity width matter as much as the number of panes; each extra pane also adds weight.

  • “The catalogue Uw is my window’s Uw.” The catalogue value refers to the reference size; a narrow window with mullions will perform worse.

  • “The spacer is a detail.” As the example above shows, it can decide whether the window meets the code.

  • “Low U protects against heat.” U describes heat loss; protection from overheating comes from solar-control coatings, which are described by other values.

Summary

Uf describes the profile, Ug the glass, Ψ their junction, and Uw the result that is checked against the code. Good selection balances all three, rather than chasing a record value for one of them.

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