# Natural Draught and Chimney

on 24/2/2012 & Updated on 30/7/2018- To supply sufficient air for completing the combustion.
- To remove flue gases from the system after combustion and the heat exchange.

- The natural draught
- The forced draught

**natural draught**. The natural draught is always preferred since it does not need any running cost although it has a big initial cost. Natural draught allows natural circulation of air through the boiler system. The

**natural draught**mainly depends upon the height of the chimney.

We try to calculate the required height of the chimney for a required natural draught for a boiler system. For that, we have to go through two basic equations of gaseous pressure. The equations are Where, "P" is the pressure of air or gas, "ρ" is the density of the air or gas, "g" is the gravitational constant, and "h" is the height of the head. Here "V" is the volume of the air or gas, "m" is the mass of the gas or air, "T" is the temperature measured in kelvin scale and "R" is the gas constant. Equation (2) can be rewritten as

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During combustion process in the furnace, mainly carbon reacts with oxygen (O_{2}) of the air and forms carbon dioxide (CO_{2}). The volume of the solid carbon compared to the required air for the reaction is negligible. Because of that, we can consider that the volume of air required for combustion is exactly equal to the volume of the flue gases created after combustion if we assume temperature before and after combustion are same. But this is not the actual case. The air entries in the combustion chamber will gain extra volume after combustion due to combustion temperature. The gained volume of the air will be equivalent to the volume of the flue gases created after combustion.

Let us assume, ρ_{o} is the density of the air at 0^{o}C or 273 K, and say it is T_{o}
Here, P is the pressure of air at 0^{o}C or 273 K, that is at T_{o} K.
If we keep, the pressure P as constant, the relation between density and temperature of the air or gases can be written as,
Where, ρ_{a} and ρ_{g} is the density of the air at temperature T_{a} and T_{g} K respectively.

From, equation (1) and (5) we can write the expression of pressure at point "a" outside the chimney, as
The volume of the air at the temperature T_{g} would be
Let us assume, m kg of air is required to burn 1 kg of carbon then the density of the flue gas would be

The pressure of the flue gas inside the cheimny from equation (1) and (8), would be
The pressure difference between outside and inside of the chimney from equation 96) and (9) would be
Here, "h" is the minimum height of the chimney to be constructed for the draught ΔP. The flue gas will flow upwards through the chimney due to this pressure difference. So, by calculating this pressure difference one can easily calculate the approximate height of the chimney to be constructed. The pressure difference can be represented as a formula for calculating the height of the chimney for a **natural draught**.

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