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.

#condensation #EN ISO 13788:2012 #EN ISO 6946:2017 #Glaser method #U-value #wall insulation

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, Rj=dj/λjR_j=d_j/\lambda_j and sd,j=μjdjs_{d,j}=\mu_j d_j. Then RT=Rsi+∑Rj+RseR_T=R_{si}+\sum R_j+R_{se}, U=1/RTU=1/R_T and q=U(Ti−Te)q=U(T_i-T_e). A face temperature is T=Ti−q(Rsi+∑Rj)T=T_i-q(R_{si}+\sum R_j). The Open University wall example supplies the illustrative surface resistances.

Saturation pressure in Pa is 610.5exp⁡[17.269T/(237.3+T)]610.5\exp[17.269T/(237.3+T)] for T≥0 ∘CT\geq0\,^{\circ}\mathrm C, and 610.5exp⁡[21.875T/(265.5+T)]610.5\exp[21.875T/(265.5+T)] 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 sds_d. Each material is split so sublayer resistance is at most 0.25/refinement0.25/\text{refinement} m²K/W. A lower convex envelope of saturation constraints and the fixed boundary pressures gives the Glaser profile. Its slope changes represent vapour sinks; g=δa(pa−pb)/(sd,b−sd,a)g=\delta_a(p_a-p_b)/(s_{d,b}-s_{d,a}), 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, dreq=λselectedmax⁡(0,1/Utarget−Rother)d_{req}=\lambda_{selected}\max(0,1/U_{target}-R_{other}). 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 δa=2×10−10\delta_a=2\times10^{-10} 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

InputSymbolUnitDefault
Temperature entry
The catalog SI/US switch changes lengths and pressures. Use this selector for temperatures; thermal results are provided in both systems.
temp_unitsCelsius (°C)
Indoor air temperatureT_in_C°C20
Outdoor air temperatureT_out_C°C-5
Indoor air temperatureT_in_F°F68
Outdoor air temperatureT_out_F°F23
Indoor relative humidityRH_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.
daysday30
Number of solid layers
Enter every layer from the room towards outdoors. Include no ventilated cavities.
n_layers4
Material properties
Sourced values are illustrative. Custom mode uses the conductivity and μ fields for every active layer.
data_modePublished example materials
Layer 1 materialmat_1Plasterboard (example 1)
Layer 1 thicknessd_1mm25
Layer 1 conductivity
Use a declared/design value appropriate to moisture and temperature, not a generic dry value.
k_1W/(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_112
Layer 2 materialmat_2Brickwork (example 1)
Layer 2 thicknessd_2mm230
Layer 2 conductivity
Use a declared/design value appropriate to moisture and temperature, not a generic dry value.
k_2W/(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_24.6
Layer 3 materialmat_3Insulation (example 5)
Layer 3 thicknessd_3mm100
Layer 3 conductivity
Use a declared/design value appropriate to moisture and temperature, not a generic dry value.
k_3W/(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_31
Layer 4 materialmat_4Render (example 5)
Layer 4 thicknessd_4mm12
Layer 4 conductivity
Use a declared/design value appropriate to moisture and temperature, not a generic dry value.
k_4W/(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_48
Layer 5 materialmat_5Cement board (example 1)
Layer 5 thicknessd_5mm15
Layer 5 conductivity
Use a declared/design value appropriate to moisture and temperature, not a generic dry value.
k_5W/(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_550
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_sim^2*K/W0.13
Outside surface thermal resistanceR_sem^2*K/W0.04
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_layer3
Target U-value
A user design target, not a regulatory limit. Condensation charts always describe the entered wall, not the proposed resized layer.
U_targetW/(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_refine1

Results

With the default inputs above, the calc gives:

ResultValue
Wall U-value0.325 W/(m²·K)
Total wall thermal resistance3.078 m²·K/W
Heat flux (+ towards outdoors)8.12 W/m²
Inside surface temperature18.94 °C
Indoor dew / frost point9.27 °C
Inside surface RH53.4 %
Peak RH before condensation89.6 %
Internal deposition over entered period0 g/m²
Total thickness needed in chosen layer136.9 mm
Extra thickness needed in chosen layer36.886 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.

ResultSourceThis calc
Total wall thermal resistance4.67 ± 0.01 m²·K/W4.673 m²·K/W
Wall U-value0.21 ± 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.

ResultSourceThis calc
Wall U-value0.3117 W/(m²·K)0.3117 W/(m²·K)
Heat flux (+ towards outdoors)8.729 W/m²8.729 W/m²
Indoor vapour pressure1,168 Pa1,168 Pa
Outdoor vapour pressure290.8 Pa290.8 Pa
Internal deposition over entered period15.846 ± 0.15 g/m²15.858 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.

ResultSourceThis calc
Heat flux (+ towards outdoors)8.729 W/m²8.729 W/m²
Internal deposition over entered period15.846 ± 0.15 g/m²15.858 g/m²

Related Resources

Responses

Your email address will not be published. Required fields are marked *

L ading...