Radiant Heating and Cooling Systems
Theory: conditioning with surface temperature
Overview
How do floor heating and ceiling cooling differ from air conditioning?
Air conditioning changes air temperature to warm or cool people; radiant systems change floor or ceiling surface temperature and exchange heat with people mainly by radiation. The surface-to-room coefficient is small, about 10 W/m²K, so capacity is set almost entirely by surface temperature. Floors too hot are uncomfortable underfoot and ceilings too cold condense, so the usable range is narrow. On the other hand, perceived temperature averages air and surrounding surfaces, so heating can keep air a little cooler. Let's calculate floor and ceiling capacity and the operative temperature used for comfort.
Capacity characteristic curves
ΔT is surface minus room temperature. Floor heating and ceiling cooling put the warm surface below or the cool one above, promoting convection and higher coefficients. The reverse (floor cooling, ceiling heating) stratifies the air and gives less capacity.
Operative temperature
Roman underfloor heating
Radiant heating is ancient. Roman baths and villas used the hypocaust, passing hot furnace gases under floors and through walls. Korea's ondol likewise warms floors by running stove smoke beneath them. In the 20th century, hot-water pipes embedded in floors and concrete spread, and today whole building structures are sometimes heated and cooled with water.
Worked examples
Example 1: surface temperature and capacity
| Mode | Conditions | Capacity |
|---|---|---|
| Floor heating | 29 °C surface, 20 °C room | 100 W/m² |
| Floor heating | 27 °C surface, 20 °C room | 76 W/m² |
| Ceiling cooling | 17 °C surface, 26 °C room | 100 W/m² |
| Floor cooling | 19 °C surface, 26 °C room | 49 W/m² |
| Ceiling heating | 30 °C surface, 20 °C room | 60 W/m² |
The radiative coefficient at emissivity 0.9 and 20 °C is about 5.1 W/m²K.
Example 2: air temperature for 21 °C operative (5×4×2.6 m room)
| Heating | Surfaces (floor, ceiling, walls) | Mean radiant | Air needed |
|---|---|---|---|
| Radiators | 19 / 19 / 18 °C | 18.5 °C | 23.5 °C |
| Floor heating | 26 / 19 / 18 °C | 20.1 °C | 21.9 °C |
Just a 26 °C floor lets the air be 1.6 K cooler with the same warmth.
The body loses heat by convection to air and radiation to surrounding surfaces. A warm floor reduces radiative loss, so slightly cooler air feels the same — and less heat escapes through leaks and ventilation. In this room, ventilation loss (0.5 air changes per hour, 0 °C outside) drops from 205 W to 191 W, about 7%. But the effect depends on surface area and temperature, and floor temperature is capped by foot comfort, so capacity is limited. Poorly insulated buildings often need supplementary heating beyond floor heating.
Design tips
- Compare the required load with the capacity allowed by surface temperature limits.
- For cooling, control indoor dew point and keep surfaces above it (combine with dehumidification).
- Subtract area covered by furniture and rugs.
- Assess comfort with operative temperature or PMV, not air temperature.
- Concrete-embedded systems respond slowly; use predictive control.
“The ceiling sweated”
In one office with ceiling cooling, condensation formed on the ceiling on a rainy-season morning and water dripped. Ventilation had stopped overnight, and when staff arrived humidity rose until the dew point exceeded the ceiling surface temperature. The fix added control keeping chilled-water temperature above the measured dew point and pre-occupancy dehumidification. Radiant cooling needs humidity control as much as temperature control.
Common mistakes
Mistakes and fixes
| Mistake | Effect | Fix |
|---|---|---|
| Ignoring surface limits | Capacity overrated | Check limits and dew point |
| Heating coefficients for floor cooling | Capacity doubled | Mode-specific curves |
| Comfort by air temperature only | Over-heating | Use operative temperature |
| No humidity control | Condensation | Dew-point control |
| Ignoring covered area | Under-capacity | Use effective area |
I'd like to learn related topics.
Related pages include underfloor heating, thermal comfort (PMV), thermal mass, building energy analysis and view factors.
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