# Need a formula

Hi,

I'm trying to find Q for chimney/stove that looks very similar to the picture attached. I was going to use the formula below, but I realized that it does not account for the venturi effect if a chimney was conical in shape - i.e. smaller at the top vs. the base. Nor does it account for differences in the sizes of the air inlet and outlet.

Q=CA(sq root(2gH(Ti-To)/Ti))

where:

Q = flue-gas flow-rate, m&sup3;/s

A = cross-sectional area of chimney, m&sup2; (assuming it has a constant cross-section)

C = discharge coefficient (usually taken to be 0.65&ndash;0.70)

g = gravitational acceleration at sea level, 9.807 m/s&sup2;

H = height of chimney, m

Ti = absolute average temperature of the flue gas in the stack, K

To = absolute outside air temperature, K

I would like to know if there is a formula to find Q that would allow me to account for the following variables:

- area of the bottom air inlet

- area of the top outlet

- temp inside the chimney

- temp outside the chimney

- height of the chimney

Thanks you.

Skills: Engineering, Mathematics, Physics

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