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Direct Heating Equipment: Boiler, Pipes and Radiators

In direct (hot-water) heating, a boiler heats water, a pump sends it through a supply pipe to radiators, and the cooler water returns to the boiler in a closed loop. The heat delivered is Q = flow × 4.186 × ΔT. An expansion tank takes up the extra water volume, valves control each room, and pipes are sized so water speed stays low and quiet.

🎬 Step-by-step story

  1. A cold house: a boiler, pipes and two radiators. Nothing is on. Both rooms are cold.
  2. Boiler on. Hot water (red) goes to the radiators. Cooler water (blue) comes back. It is a closed loop.
  3. Each radiator gives heat to its room, so the room warms up. The water leaves cooler: that drop is ΔT.
  4. The pump keeps the water moving. The expansion tank takes the extra volume when the water heats up.
  5. Design: the valve on radiator 2 is closed. No hot water reaches it, so room 2 stays cool.
  6. Free play: change the flow and ΔT. Read the heat output. Open or close each valve.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why is the boiler water hot but the room only warm?

The radiator is large and gives its heat to a big volume of air. The water cools by ΔT; the room settles where heat in equals heat lost outside.

Does the water get used up?

No. It is a closed loop. The same water returns to the boiler, cooler, and picks up heat again.

Why does the pipe need an expansion tank?

Hot water takes more space. The tank has a cushion that squeezes, so the pressure stays safe.

What happens when one radiator valve is closed?

Water stops going through that radiator, so its room gets no heat from it. The other radiators still work because each has its own branch.

How can I give a room more heat?

Increase the flow, raise the supply temperature (more ΔT) or fit a larger radiator. Move the sliders in free play and read the kW.

Configuration of direct heating equipment

"Direct heating" means the heat goes straight from a hot body (a radiator or a heater) to the room. In a hot-water system the parts are:

The system is closed: the same water goes round again and again. Only heat leaves it.

Design of direct heating and piping

Step 1: how much heat does each room lose?

Heat loss through a wall, window or roof is Q = U × A × ΔT, where U is how easily heat passes (W/m²K), A is the area and ΔT is the inside-outside temperature difference. Add all the walls, windows and the air leakage. The radiator must give at least this much.

Step 2: how much water flows?

The heat carried by water is Q = m × c × ΔT, with c = 4.186 kJ/kg·K. Choose ΔT (for example 20 K between supply and return). Then the flow follows. In litres per hour: Q (kW) = flow × 4.186 × ΔT ÷ 3600.

Step 3: pipe size

Pipe area A = flow ÷ speed. Keep water speed between about 0.3 and 1 m/s. Faster water makes noise and wears the pipe; slower water needs wide, costly pipes.

Step 4: layout

Key formulas and definitions

Worked examples

1. A room loses 2 kW. Supply and return differ by 20 K. Find the water flow in L/h.

Q = flow × 4.186 × ΔT ÷ 3600, so flow = 2 × 3600 ÷ (4.186 × 20) = 7200 ÷ 83.7 = 86 L/h.

2. A loop carries 500 L/h with ΔT = 15 K. What heat does it deliver?

Q = 500 × 4.186 × 15 ÷ 3600 = 8.72 kW.

3. A room has walls, windows and roof of total area 30 m² with average U = 0.6 W/m²K. Inside 20 °C, outside 0 °C. Find the heat loss.

Q = U × A × ΔT = 0.6 × 30 × 20 = 360 W.

4. A pipe must carry 0.3 L/s at 0.8 m/s. Find the pipe diameter.

Flow = 0.3 L/s = 0.0003 m³/s. A = 0.0003 ÷ 0.8 = 0.000375 m². d = √(4 × 0.000375 ÷ 3.14) = 0.0219 m, about 22 mm. Choose the next standard size, 22 mm.

5. A system has 1000 L of water. It is heated from 10 °C to 80 °C and grows by 3 percent. What volume must the expansion tank take?

3 percent of 1000 L = 30 L. The tank must absorb at least 30 L (plus a safety margin).

Common mistakes

Practice quiz

1. The heat carried by water is:
2. What does the expansion tank do?
3. In a closed hot-water loop, the return pipe carries:
4. A room loses heat: U = 1, A = 20 m², ΔT = 10 K. Q = ?
5. A TRV on a radiator:

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What is direct heating?

Heat passes straight from a heater or radiator surface into the room, as opposed to warm air blown through ducts from a central unit.

Why do radiators have a supply and a return pipe?

The supply brings hot water and the return takes the cooler water back to the boiler for re-heating.

What is the specific heat of water used in heating design?

About 4.186 kJ/kg·K. Water carries a lot of heat per kg, which is why it is used.

Where this is taught

Japan高校(専門学科)1〜3年Air-Conditioning Systems

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