Radiant floor output depends far more on the floor surface temperature than on the water temperature alone, because the slab and floor covering sit between the tube water and the room. This calculator uses the ASHRAE radiant panel model to turn supply temperature, tube spacing, and covering resistance into a realistic BTU/h per square foot.
How it works
The panel correlation ties output to how much warmer the floor surface is than the room air:
q (BTU/h·ft²) = 2.0 × (Tsurface − Tair)^1.1
Tsurface = Tair + (Twater − Tair) × ε
ε = spacingFactor / (1 + coveringR × 1.8)
The effectiveness factor ε captures two real losses: wider tube spacing leaves
cooler stripes between tubes, and a higher floor-covering R-value insulates the
surface from the warm slab. The spacing factor is 0.62 at 6 inch, 0.55 at 9 inch,
and 0.48 at 12 inch on-center.
Example and tips
A bare tile floor with 9 inch spacing, 110 °F supply water, and a 68 °F room reaches roughly an 84 °F surface and delivers about 35 BTU/h per square foot, so a 200 ft² room makes around 7,000 BTU/h. Add even a 1.0 R-value carpet and the surface cools, dropping output well below 20 BTU/h per square foot. Keep the surface at or under 85 °F for comfort, and if you cannot meet the room load without exceeding that, add a supplemental emitter rather than overheating the floor.