# Sizing for the heating expansion vessels

For a correct dimensioning of the vessel, these parameters should be known:

C water volume inside the system including boiler, pipes and heating bodies considering a 15-20% safe weighting. By and large, C is between 10 and 20 l each 1000 Ikcal/h (1.163 kW) of the heating power of the boiler.

e Water dilation coefficient, the maximum difference between the calibration temperature of the boiler thermostat and the water temperature with the system switched off. See table below for sample.

Calculation example, coefficient e of water dilation

Coeff. e Water Temp. (°C)

Temperature difference
(°C)
Coefficient
e
00.00013
100.00027
200.00177
300.00435
400.01210
500.01450
550.01710
600.01980
650.02270
700.02580
750.02900
800.03240
850.03590
900.03960
1000.04340
1100.05150

Pia Absolute precharge pressure of the expansion vessel, sum of the relative precharge value of the vessel (determined by the system) and the air pressure:

Pia= Pir + Patm

Pfa Absolute test pressure of the safety valve, sum of the relative precharge value of the valve and the air pressure:

Pfa = Pfr ¡À P atm

Given these parameters, the formula is as follows: The value V, is the result, measured in liters, of the calculation. For a correct dimensioning, choose the smallest expansion vessel.

Example of calculation

C = 550 lQuantity of water in the installation
ti = 5 °CWater temperature with the system switched off
tf= 70 °CWater temperature with the system operating
Δ(t) = 70 °C - 5 °C = 65 °CTemperature difference
e = 0,0198Dilation coefficient measured by temperature difference, see table above
Pir = 1,5 barRelative system precharge pressure
Pia = 1,5 bar + 1 bar = 2,5 bar Absolute system precharge pressure
Pfr = 3 barRelative safety valve test pressure
Pfa = 3 bar + 1 bar = 4 barAbsolute safety valve test pressure # Dimensioning of an expansion vessel for conditioning systems

The water circuit on a conditioning system provides cold water from a refrigeration group and returns it after heating.

The Pi pressure is equal to the maximum system pressure, that is the maximum temperature reached by the system, preventively calculated 50 °C.

The Pf pressure is the value reached at minimum temperature, about 4 °C (in case of lower temperature, please check for possible modifications to the equation).

The capacity of the tank is given by: ## Useful volume of water in the tank

The value of the air pressure in the tank balances the water pressure.
Considering the air compression isotherm, the pV product is constant. Introducing water in the tank, the air volume decreases, increasing pressure.
See the table below for an example of constant pV ratio in a 100 lts. tank with an absolute precharge pressure of 2 bar (constant pV ratio: 200).

Water pressure
(bar)
Water content
(l)
20
440
865

100 lts. tank with precharge pressure of 2 bar ## The safety valve

The valve shutter is activated by the steam under pressure. It opens overcoming the force applied to the shutter by a spring.
At preset pressure, the security valve starts to open, and at the nominal discharging pressure (usually more than 10% of the calibration) it is completely open.
The valve closes at 80% of the preset value. This device guarantees the external discharging of the steam that could form within the system after exceeding of the preset thermostatic values.

## Notes

The International Standard of Measurements uses the pascal unit (Pa). 1 bar = 10^5 Pa.
The water content of a tank is always less than the nominal capacity of the tank.
Upon request, Varem provides a CD-ROM with an application of dimensioning.
Find further technical information on the technical sheets of the products.