Radiant Heating and Cooling Systems

Category: Thermal – HVAC & Buildings | Revised 2026-10-01
CAE visualization for radiant heating cooling theory - technical simulation diagram
Radiant heating and cooling system

Theory: conditioning with surface temperature

Overview

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How do floor heating and ceiling cooling differ from air conditioning?

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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

$$ q_{floor,heat} = q_{ceil,cool} = 8.92\,\Delta T^{1.1},\qquad q_{floor,cool} \approx 7\,\Delta T,\qquad q_{ceil,heat} \approx 6\,\Delta T\quad[\mathrm{W/m^2}] $$

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

$$ t_{op} \approx \frac{t_a + \bar t_r}{2},\qquad \bar t_r \approx \frac{\sum_i A_i t_i}{\sum_i A_i},\qquad h_r = 4\varepsilon\sigma T^3 \approx 5\ \mathrm{W/m^2K} $$
Coffee Break Trivia

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

ModeConditionsCapacity
Floor heating29 °C surface, 20 °C room100 W/m²
Floor heating27 °C surface, 20 °C room76 W/m²
Ceiling cooling17 °C surface, 26 °C room100 W/m²
Floor cooling19 °C surface, 26 °C room49 W/m²
Ceiling heating30 °C surface, 20 °C room60 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)

HeatingSurfaces (floor, ceiling, walls)Mean radiantAir needed
Radiators19 / 19 / 18 °C18.5 °C23.5 °C
Floor heating26 / 19 / 18 °C20.1 °C21.9 °C
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Just a 26 °C floor lets the air be 1.6 K cooler with the same warmth.

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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

  1. Compare the required load with the capacity allowed by surface temperature limits.
  2. For cooling, control indoor dew point and keep surfaces above it (combine with dehumidification).
  3. Subtract area covered by furniture and rugs.
  4. Assess comfort with operative temperature or PMV, not air temperature.
  5. Concrete-embedded systems respond slowly; use predictive control.
Coffee Break Trivia

“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

MistakeEffectFix
Ignoring surface limitsCapacity overratedCheck limits and dew point
Heating coefficients for floor coolingCapacity doubledMode-specific curves
Comfort by air temperature onlyOver-heatingUse operative temperature
No humidity controlCondensationDew-point control
Ignoring covered areaUnder-capacityUse effective area
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