Wall U-Value and Condensation Calculator
Calculate a layered wall’s U-value, insulation thickness and condensation risk. See temperature, dew-point and Glaser vapour-pressure profiles through the wall.
This U-value calculator helps engineers, students and building owners compare solid, layered walls and investigate condensation risk. It calculates thermal transmittance, the temperature of the room-side surface, local dew or frost points, and the diffusion-driven moisture deposited during a period of constant climate. An original wall section connects the numbered layers to the calculation tables.
Enter the wall from the room towards outdoors. Choose one to five solid layers and enter their thicknesses. Published example materials provide traceable starting values for thermal conductivity and the vapour resistance factor μ. These values describe the cited examples; they are not declarations for a particular product. Switch to custom properties when you have suitable manufacturer data or measured values. Use the actual design conductivity and a vapour resistance appropriate to the expected moisture conditions.
Set the indoor and outdoor air temperatures and relative humidities. Celsius and Fahrenheit entry are available. The catalog’s SI/US switch converts supported lengths and pressures; thermal U-values and R-values are also provided explicitly in both systems. US thermal temperature intervals are written in degrees Rankine, which have the same size as Fahrenheit intervals. Below freezing, this model uses saturation over ice, so its reported saturation temperature is a frost point. Outdoor humidity must use the same convention.
The temperature chart compares the wall temperature with the local dew or frost point of the hypothetical dry-wall vapour profile. The Glaser chart uses cumulative equivalent air thickness, not physical wall thickness, on its horizontal axis. Where the dry-wall pressure exceeds the saturation curve, condensation is predicted. The adjusted Glaser line touches saturation at depositing nodes. A high indoor dew point alone does not locate condensation inside a wall: vapour pressure changes as it diffuses through each material.
To estimate insulation thickness, select an existing layer and enter a target U-value. The thickness result is the total required thickness of that layer; the extra-thickness card accounts for what is already present. This is a thermal sizing calculation. Enter the proposed new thickness to reassess its condensation behaviour.
This condensation in wall calculator follows the homogeneous-layer EN ISO 6946:2017 approach and a steady Glaser assessment based on EN ISO 13788:2012. It starts with a dry wall and does not calculate an annual moisture balance or summer evaporation. A zero result means no deposition at the selected climate and resolution. It does not establish that a construction is moisture-safe throughout the year. Thermal bridges, air leakage, rain, capillary transport, ventilated cavities and moisture storage require other methods. Check against the standard in force and applicable local requirements. Installation work belongs to a qualified person.
How it is calculated
The homogeneous-layer series-resistance approach follows EN ISO 6946:2017; the diffusion and condensation assessment follows the steady-month principles of EN ISO 13788:2012, as explained in Atkinson (2020), pp.7–17, 28 and 41–49. This implements the heat and diffusion balance, not every compliance procedure in either standard.
For each inside-to-outside layer, and . Then , and . A face temperature is . The Open University wall example supplies the illustrative surface resistances.
Saturation pressure in Pa is for , and below zero (over ice), with numerical temperatures in Celsius. Inverting the applicable branch gives dew/frost point. Boundary pressures are RH fractions times saturation at the air temperatures.
The dry-wall pressure interpolates linearly in cumulative . Each material is split so sublayer resistance is at most m²K/W. A lower convex envelope of saturation constraints and the fixed boundary pressures gives the Glaser profile. Its slope changes represent vapour sinks; , and local deposition is incoming minus outgoing flux. Deposition mass is the rate multiplied by the entered duration. Positive values mean water gained, unlike the source's negative vapour-loss sign. Conservation and saturation bounds are checked.
For sizing, . This is the total replacement thickness. The displayed moisture profiles remain those of the entered wall.
Assumptions
One-dimensional, steady heat and vapour diffusion through 1–5 homogeneous solid layers. Layers are dry initially; properties stay constant. Surface films have thermal resistance but no vapour resistance. Air permeability is fixed at kg/(m·s·Pa). Atkinson's example vapour resistivities are converted to dimensionless μ using this value: μ = 0.2ζ when ζ is expressed in MN·s/(g·m).
The material selector contains selected worked-example inputs from Atkinson pp.23 and 41, with each row's source shown. They are illustrative, including unusually insulating blockwork; replace them with product-specific design data for a real wall. No standards table is reproduced.
RH is relative to liquid water at nonnegative temperatures and ice below zero. There is no annual carry-over, evaporation from stored water, moisture-dependent conductivity, latent-heat coupling, rain, air leakage or liquid transport. Surface condensation invalidates the fixed-vapour-pressure boundary assumption and holds back the internal-deposition results. The 80% inside-surface RH message is a screening flag, not a mould-growth prediction.
Where it applies
Use for planar, unbridged solid wall paths and a constant or monthly mean climate, between −40 and 60 °C (indoor range −30 to 60 °C), with positive layer thickness and μ ≥ 1. Internal calculations use SI units; Celsius/Fahrenheit entry is explicit because the catalog unit switch does not convert offset temperatures. °R in the US thermal results denotes a temperature interval equal to one °F.
Sublayer calculations approximate a continuous saturation curve. Increase mesh refinement and compare deposition near a threshold; there is no single universal “dew-point depth”. The interior/exterior face temperatures are distinct from air temperatures; surface-film drops appear in the calculation steps, not as fictitious material thicknesses on the charts. Layers in the section have scaled physical widths and a schematic height; very thin membranes may be hard to see.
For a thin membrane with known sd, custom mode may use its finite thickness with μ = sd/d and an appropriate conductivity; the thermal treatment is approximate. Unventilated air gaps, ventilated cavities, repeated studs, ties, mortar paths, metal bridges, ground contact and walls with leakage are outside this tool's homogeneous-solid scope. A full annual Glaser assessment needs monthly climates, stored-condensate tracking and drying checks; use a transient hygrothermal model where storage, rain or capillarity matters. The U target is a design input, not a code limit. Check against the standard in force and local requirements. Installation work belongs to a qualified person.
References
- Keith Atkinson (2020), Glaser Method Theory Guide, pp.17, 23, 28 and 41–49. https://atkinsonscience.co.uk/PDFs/Downloads/Construction/Glaser%20Method%20Theory%20Guide.pdf
- Open University, Energy in buildings, §2.2.6, Tables 5–6 and four-layer wall example. https://www.open.edu/openlearn/nature-environment/energy-buildings/content-section-3.2.6
- ISO 6946:2017, Building components and building elements — Thermal resistance and thermal transmittance — Calculation methods (corrected version 2021-12). https://www.iso.org/standard/65708.html
- ISO 13788:2012, Hygrothermal performance — Internal surface temperature and interstitial condensation — Calculation methods. https://www.iso.org/standard/51615.html
Inputs
| Input | Symbol | Unit | Default |
|---|---|---|---|
| Temperature entry The catalog SI/US switch changes lengths and pressures. Use this selector for temperatures; thermal results are provided in both systems. | temp_units | Celsius (°C) | |
| Indoor air temperature | T_in_C | °C | 20 |
| Outdoor air temperature | T_out_C | °C | -5 |
| Indoor air temperature | T_in_F | °F | 68 |
| Outdoor air temperature | T_out_F | °F | 23 |
| Indoor relative humidity | RH_in | % | 50 |
| Outdoor relative humidity Below freezing, RH is relative to saturation over ice in this model. Convert water-referenced weather data before entering it. | RH_out | % | 80 |
| Period at these constant conditions Use a monthly mean climate for a Glaser assessment. This is deposition from an initially dry wall, without evaporation or carry-over. | days | day | 30 |
| Number of solid layers Enter every layer from the room towards outdoors. Include no ventilated cavities. | n_layers | 4 | |
| Material properties Sourced values are illustrative. Custom mode uses the conductivity and μ fields for every active layer. | data_mode | Published example materials | |
| Layer 1 material | mat_1 | Plasterboard (example 1) | |
| Layer 1 thickness | d_1 | mm | 25 |
| Layer 1 conductivity Use a declared/design value appropriate to moisture and temperature, not a generic dry value. | k_1 | W/(m*K) | 0.21 |
| Layer 1 vapour resistance factor Dimensionless μ = permeability of air / permeability of the material. For a thin membrane, use μ = declared sd / its thickness in metres. | mu_1 | 12 | |
| Layer 2 material | mat_2 | Brickwork (example 1) | |
| Layer 2 thickness | d_2 | mm | 230 |
| Layer 2 conductivity Use a declared/design value appropriate to moisture and temperature, not a generic dry value. | k_2 | W/(m*K) | 0.84 |
| Layer 2 vapour resistance factor Dimensionless μ = permeability of air / permeability of the material. For a thin membrane, use μ = declared sd / its thickness in metres. | mu_2 | 4.6 | |
| Layer 3 material | mat_3 | Insulation (example 5) | |
| Layer 3 thickness | d_3 | mm | 100 |
| Layer 3 conductivity Use a declared/design value appropriate to moisture and temperature, not a generic dry value. | k_3 | W/(m*K) | 0.04 |
| Layer 3 vapour resistance factor Dimensionless μ = permeability of air / permeability of the material. For a thin membrane, use μ = declared sd / its thickness in metres. | mu_3 | 1 | |
| Layer 4 material | mat_4 | Render (example 5) | |
| Layer 4 thickness | d_4 | mm | 12 |
| Layer 4 conductivity Use a declared/design value appropriate to moisture and temperature, not a generic dry value. | k_4 | W/(m*K) | 0.8 |
| Layer 4 vapour resistance factor Dimensionless μ = permeability of air / permeability of the material. For a thin membrane, use μ = declared sd / its thickness in metres. | mu_4 | 8 | |
| Layer 5 material | mat_5 | Cement board (example 1) | |
| Layer 5 thickness | d_5 | mm | 15 |
| Layer 5 conductivity Use a declared/design value appropriate to moisture and temperature, not a generic dry value. | k_5 | W/(m*K) | 0.23 |
| Layer 5 vapour resistance factor Dimensionless μ = permeability of air / permeability of the material. For a thin membrane, use μ = declared sd / its thickness in metres. | mu_5 | 50 | |
| Inside surface thermal resistance 0.13 is the wall heat-transfer example value; choose the appropriate surface condition. Mould assessments may require a different value. | R_si | m^2*K/W | 0.13 |
| Outside surface thermal resistance | R_se | m^2*K/W | 0.04 |
| Layer to resize for the U target Existing active layer whose conductivity is used. The result is the total thickness required, not an extra layer. | sizing_layer | 3 | |
| Target U-value A user design target, not a regulatory limit. Condensation charts always describe the entered wall, not the proposed resized layer. | U_target | W/(m^2*K) | 0.25 |
| Glaser mesh refinement 1 divides materials into sublayers with resistance at most 0.25 m²K/W. Increase to 2–4 to examine sensitivity, especially near the onset of condensation. | grid_refine | 1 |
Results
With the default inputs above, the calc gives:
| Result | Value |
|---|---|
| Wall U-value | 0.325 W/(m²·K) |
| Total wall thermal resistance | 3.078 m²·K/W |
| Heat flux (+ towards outdoors) | 8.12 W/m² |
| Inside surface temperature | 18.94 °C |
| Indoor dew / frost point | 9.27 °C |
| Inside surface RH | 53.4 % |
| Peak RH before condensation | 89.6 % |
| Internal deposition over entered period | 0 g/m² |
| Total thickness needed in chosen layer | 136.9 mm |
| Extra thickness needed in chosen layer | 36.886 mm |
| US U-value (°R = °F temperature interval) | 0.0572 BTU/(h·ft²·degR) |
| US R-value (°R = °F temperature interval) | 17.48 h·ft²·degR/BTU |
| Inside surface temperature (Fahrenheit) | 66.1 °F |
| Indoor dew / frost point (Fahrenheit) | 48.68 °F |
Checked against sources
Each case below was calculated by this calc and agrees with the value from its source (within the tolerance where one is shown).
Open University four-layer wall: unbridged U-value
Source: Open University, Energy in buildings §2.2.6, Table 6, https://www.open.edu/openlearn/nature-environment/energy-buildings/content-section-3.2.6 . Unrounded layer resistances give U≈0.214; the publication rounds to 0.21. No bridge correction is expected. μ values are irrelevant to this thermal-only check.
Inputs: Material properties = Custom product properties; Layer 1 thickness = 13 mm; Layer 1 conductivity = 0.57 W/(m·K); Layer 1 vapour resistance factor = 8; Layer 2 thickness = 115 mm; Layer 2 conductivity = 0.11 W/(m·K); Layer 2 vapour resistance factor = 14; Layer 3 thickness = 115 mm; Layer 3 conductivity = 0.035 W/(m·K); Layer 4 thickness = 115 mm; Layer 4 conductivity = 0.77 W/(m·K); Layer 4 vapour resistance factor = 5; the others as above.
| Result | Source | This calc |
|---|---|---|
| Total wall thermal resistance | 4.67 ± 0.01 m²·K/W | 4.673 m²·K/W |
| Wall U-value | 0.21 ± 0.005 W/(m²·K) | 0.214 W/(m²·K) |
Atkinson Examples 5–6: condensation inside blockwork
Source: Atkinson (2020), Examples 5–6, pp.41–49. Two condensation planes at source interfaces 12 and 13. Expected total deposition is 5.927+9.919=15.846 g/m² over February. The source reports rounded temperatures/pressures and negative vapour losses; this tool uses unrounded temperatures and positive deposited water. Source p.17 labels both dew-point inversion branches ≥610.5 Pa; the second must be <610.5 Pa, consistent with its ice-saturation equation.
Inputs: Layer 1 material = Liner (example 5); Layer 2 material = Insulation (example 5); Layer 3 material = Blockwork (example 5); Layer 1 thickness = 13 mm; Layer 2 thickness = 20 mm; Layer 3 thickness = 200 mm; Outdoor air temperature = -8 °C; Outdoor relative humidity = 94 %; Inside surface thermal resistance = 0.1299 m²·K/W; Period at these constant conditions = 28 day; Layer to resize for the U target = 2; the others as above.
| Result | Source | This calc |
|---|---|---|
| Wall U-value | 0.3117 W/(m²·K) | 0.3117 W/(m²·K) |
| Heat flux (+ towards outdoors) | 8.729 W/m² | 8.729 W/m² |
| Indoor vapour pressure | 1,168 Pa | 1,168 Pa |
| Outdoor vapour pressure | 290.8 Pa | 290.8 Pa |
| Internal deposition over entered period | 15.846 ± 0.15 g/m² | 15.858 g/m² |
Atkinson wall entered in Fahrenheit
Source: Same independent published Atkinson Examples 5–6 values, entered as 68°F inside and 17.6°F outside (exact conversions of 20°C and −8°C). This protects the temperature-entry conversion as well as the physical outputs. Expected results are the publication's values, with unrounded computation and positive deposited-water sign.
Inputs: Layer 1 material = Liner (example 5); Layer 2 material = Insulation (example 5); Layer 3 material = Blockwork (example 5); Layer 1 thickness = 13 mm; Layer 2 thickness = 20 mm; Layer 3 thickness = 200 mm; Temperature entry = Fahrenheit (°F); Outdoor relative humidity = 94 %; Inside surface thermal resistance = 0.1299 m²·K/W; Period at these constant conditions = 28 day; Layer to resize for the U target = 2; Outdoor air temperature = 17.6 °F; the others as above.
| Result | Source | This calc |
|---|---|---|
| Heat flux (+ towards outdoors) | 8.729 W/m² | 8.729 W/m² |
| Internal deposition over entered period | 15.846 ± 0.15 g/m² | 15.858 g/m² |







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