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Water and Hot-Water Supply Installations

Water comes from a source (river, lake, reservoir or well), is cleaned at a treatment plant and sent through mains to buildings. A raised tank or pump gives the pressure: p = ρgh, about 9.81 kPa per metre of height. Pipes are sized so the water speed stays below about 2 m/s. A water heater warms the water for taps, using E = m × c × ΔT.

🎬 Step-by-step story

  1. Water comes from a source: a river, a lake, a reservoir or a well. It is limited, so do not waste it.
  2. A treatment plant cleans the water. A pump lifts it to a high tank.
  3. Height gives pressure. The higher the tank, the harder the water pushes at the tap: p = ρgh.
  4. In the house: a meter, a cold tap and a water heater. Hot water comes out of the top of the heater.
  5. Pipe size matters. A narrow pipe makes the same water move faster: v = Q ÷ A.
  6. Free play: change the tank height and the pipe size. Read the pressure and the speed.

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

🤔 Common doubts, cleared

Is all the water in the world usable?

No. Most is salty sea water or frozen. Only a small part is fresh and reachable, so we treat and save it.

Why does the water go up to a tank on a tower?

A pump lifts it once. After that the height of the tank gives the pressure for a whole town, with no pump needed at every tap.

Does a bigger tank give more pressure?

No. Only height counts. A small tank at 20 m gives more pressure than a huge tank at 5 m. Move the height slider to check.

Why does hot water come out of the top of the heater?

Hot water is lighter, so it rises and collects at the top. Cold water enters at the bottom without mixing much.

Why does a narrow pipe make the water faster?

The same amount of water per second must pass through a smaller area, so it must move faster: v = Q ÷ A.

What is the best pipe size?

The smallest size that keeps speed below about 2 m/s. Use free play to find it.

Water resources and water supply

Only a small part of the world's water is fresh water we can use. It comes from surface water (rivers, lakes, reservoirs) and groundwater (wells and bore wells). Rain fills them again through the water cycle, but we can use water faster than it is refilled, so saving water matters.

From source to tap

  1. Intake: water is taken from the source.
  2. Treatment: screening, settling of dirt (sedimentation), filtering and killing germs (chlorination or other methods) make it safe to drink.
  3. Storage and pumping: clean water goes to storage reservoirs and towers.
  4. Distribution: underground mains and branch pipes carry water to buildings.
  5. In the building: service pipe, meter, valves, tanks, taps and heaters.

Water quality is tested often. Leaks in pipes waste a lot, so pipes are checked and repaired.

Equipment for water and hot-water supply

Cold-water supply methods

Equipment

Hot-water supply

Design of water and hot-water supply

1. Estimate the demand

Daily use per person is about 135 to 200 litres in many cities. Daily demand = people × litres per person. Tank volume is usually one day of demand or a little more.

2. Pressure

Water pressure from height is p = ρ × g × h. With ρ = 1000 kg/m³ and g = 9.81 m/s², every metre of height gives 9.81 kPa. A tap needs a minimum pressure (often 30 to 100 kPa) and not too much (below about 400 kPa, or pipes and taps wear).

3. Pipe size

Flow Q = area × speed, so v = Q ÷ A. Keep speed below about 1.5 to 2 m/s in building pipes. Faster water makes noise, wears pipe and causes pressure shocks (water hammer). Longer pipes and bends also lose pressure by friction.

4. Hot-water energy

E = m × c × ΔT, with c = 4.186 kJ/kg·K. 1 kWh = 3600 kJ. Heater time = energy ÷ power.

5. Safe layout

Keep hot and cold pipes apart, never join drinking-water pipes to drainage or dirty sources, add check valves to stop back-flow and drain valves for maintenance.

Key formulas and definitions

Worked examples

1. A tap is 20 m below the water level in a tank. Find the pressure at the tap.

p = ρgh = 1000 × 9.81 × 20 = 196 200 Pa ≈ 196 kPa.

2. What tank height above the tap gives 100 kPa?

h = p ÷ (ρg) = 100 000 ÷ (1000 × 9.81) = 10.2 m.

3. Water flows at 0.3 L/s through a pipe of inside diameter 20 mm. Find the speed.

Q = 0.0003 m³/s. A = π × (0.01)² = 3.14 × 10⁻⁴ m². v = 0.0003 ÷ 0.000314 = 0.96 m/s. Good.

4. A family of 5 uses 135 L per person per day. Find the daily demand and a tank size.

Demand = 5 × 135 = 675 L/day. A 700 to 1000 L tank covers one day or more.

5. How much energy heats 100 L of water from 20 °C to 60 °C? How long does a 2 kW heater take?

m = 100 kg. E = 100 × 4.186 × 40 = 16 744 kJ = 16 744 ÷ 3600 = 4.65 kWh. Time = 4.65 ÷ 2 = 2.3 hours.

Common mistakes

Practice quiz

1. Water pressure at the bottom of a 10 m water column is about:
2. In a storage water heater, hot water leaves from the:
3. If the pipe diameter is halved (same flow), the speed becomes:
4. What cleans water at the treatment plant?
5. Which part stops water flowing backward?

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

How much pressure should a house tap have?

Typically between about 100 and 400 kPa. Too little gives a weak flow; too much wears fittings.

Why is hot water stored at about 60 °C?

It stops harmful germs (such as Legionella) from growing. A mixing valve then lowers the temperature at the tap to avoid scalds.

Why add a check valve?

It lets water flow one way only, so dirty water cannot flow backward into the clean supply.

Where this is taught

Japan高校(専門学科)1〜3年Sanitary and Fire-Protection Systems

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