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Flue Gas Velocity in Duct

05/25/2011 12:33 AM

we all know that for velocity, the equation is:

v = Sq. rt of (2gh).

but i came across a calculation where there is density used in the denominator, thus making the equation:

v = Sq. rt of ((2gh)/ density)

i don't understand why density is used in the equation. The calculation is for findin the velocity of flue gas in duct. the value of h is given mm WC.

help in this regard most appreciated. thank u all..

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Guru
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#1

Re: fue gas velocity in duct

05/25/2011 1:45 AM

Volume flow would not account for the density; mass flow would account for it.

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Guru
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#2

Re: fue gas velocity in duct

05/25/2011 3:13 AM

The eqetions you have referred is generally used for liquid.

v = Sq. rt of ((2gh)/ density) is a general equetion for any liquid, but when used for water density = 1.

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Guru

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#3

Re: fue gas velocity in duct

05/25/2011 6:51 AM

There's some confusion here.

Firstly, what do you mean by h? The formula applies when h is a head difference across some element, and usually v is lower than Sq. rt of (2gh) as the coefficient of discharge is < 1. E.g. for an orifice plate under most conditions CD = 0.62.

If h is in m fluid, v is in m/s. If you want the mass velocity kg/(m2*s) you need to multiply v by the density, not divide.

But you're dealing with gas flow, and you wouldn't (normally) have pressure drop in m fluid. It would be in pressure units, Pa (= N/m2). In that case the formula is

v (m/s) = CD*√(2*ΔP/ρ) where ρ = density kg/m3 about 1.2 for air.

or mass velocity vm (kg/(m2*s)) = CD*√(2*ΔP*ρ)

Cheers........Codey

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