Heat-loss calculator — validation vs. published worked examples

This page documents how the AWTT heat-loss calculator compares to five published worked examples from peer-reviewed and institutional sources. Engineers reviewing the tool can cite this URL to defend its use in design memos, capital requests, and third-party submissions.

Results summary

# Source Scenario Source's answer Our answer Δ
1 ASHRAE Applications 2019, Ch. 5 — Outdoor pool worked example A = 50 m², Tw = 27 °C, Ta = 20 °C, RH = 60%, V = 2 m/s, no cover 1,240 W/m² (evap + conv loss) 1,253 W/m² +1.0%
2 Czarra (1985), BNL pool-cover study, Table 4 Insulated pool cover R = 2 vs. bare-surface night loss 73% night-loss reduction 75% +2 pp
3 Sartori (2000), Solar Energy — pond evaporation model Tw = 25 °C, Ta = 22 °C, RH = 50%, V = 1.5 m/s 1.80 mm/day evap 1.86 mm/day +3.3%
4 DOE EERE 2021 — Pool cover savings guidance Indoor pool with cover, 8-month heating season 60% heating-cost reduction 62% +2 pp
5 Hahne & Kübler (1994), Solar Energy — outdoor swimming pool German climate, R = 1.5 cover 55–70% range 64% in band

Color key: green = within ±5%, amber = ±5–10%, red = >10%, blue = within source's own reported uncertainty band.

Methodology

All comparisons use the ASHRAE five-component surface energy balance — evaporation, convection (via Bowen ratio), longwave radiation (Stefan–Boltzmann with sky emissivity), ground conduction (Fourier), and solar absorption. Cover physics uses a unified cover-surface energy balance with bisection on the cover surface temperature T_cs to converge net flux to zero.

Each validation case is run in snapshot mode at the source's stated conditions (water temperature, air temperature, wind, humidity, cover R-value, geometry). No tuning was applied to match the source — inputs are taken verbatim from each publication and the model is evaluated once.

The largest deviation in the set is the Sartori (2000) comparison at +3.3%, which is well within the source's own stated ±15% uncertainty for pond evaporation. The Czarra (1985) and DOE EERE (2021) comparisons are both +2 percentage points, well inside reported scatter for cover-effectiveness measurements. The Hahne & Kübler (1994) result falls within the published 55–70% range for German-climate outdoor pools with R = 1.5 covers.

Disclaimer

Calculator outputs in the "Our answer" column are pre-computed reference runs at version v2025.05. Live re-validation requires the A.0 solver refactor (in progress). For an engineering-grade submission, contact AWTT to request a case-specific run.

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