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2<br />
2<br />
2<br />
The front port measures the total head of ( P 1 + (V 1 ρ)/2 )<br />
V1<br />
V2<br />
<br />
P1 P2<br />
( equ<strong>at</strong>ion 2)<br />
2 2<br />
At port fac<strong>in</strong>g downstream we measure only st<strong>at</strong>ic pressure P 2<br />
and hence the differential pressure ΔP is noth<strong>in</strong>g but a measure of (V 2 1 *ρ / 2). Therefore V 1 = Sqrt ( ΔP<br />
* 2 /ρ). S<strong>in</strong>ce the ΔP is measured <strong>in</strong> mmWC (manometer fluid), conversion to actual fluid density is<br />
required. Pitot measurement is resorted to for fan performance studies / to resolve combustion problems.<br />
Details of Pitot study<br />
The velocity of air <strong>in</strong> PA fan discharge duct was <strong>in</strong>ferred us<strong>in</strong>g a Pitot tube meter. The measurements<br />
were taken through the tapp<strong>in</strong>gs <strong>in</strong> the duct along the length and height. The duct width and height were<br />
650 mm and 1000 mm respectively. The velocity measurements were carried out <strong>at</strong> various traverse<br />
po<strong>in</strong>ts and they were found to be approxim<strong>at</strong>ely equal. The measured differential pressure read<strong>in</strong>gs are<br />
given <strong>in</strong> table 1.<br />
Table 1: Differential pressure measurement read<strong>in</strong>gs by Pitot<br />
S.no ΔP<br />
(mmWc)<br />
ΔP<br />
(mmWC)<br />
Width Height<br />
wise wise<br />
1 14.9 14.6<br />
2 14.0 14.2<br />
3 15.2 14.8<br />
4 14.3 15.0<br />
5 15.5 14.3<br />
6 14.2 14.8<br />
7 14.3<br />
Avg 14.63 14.62<br />
Pitot tube<br />
Actual velocity <strong>in</strong>side duct, V = K p * C p * sqrt (ΔP (avg) ) * sqrt (T s / P s * M s )<br />
Kp, Dimensional constant = 34.97<br />
Cp, Pitot tube coefficient = 0.85<br />
ΔP(avg), Average differential pressure = 14.62 mmWC<br />
Ts, Temper<strong>at</strong>ure <strong>in</strong>side the duct = 433 K<br />
Ps, PA fan header pressure = 1054 mmWC (g) = 83.75 mmHg ( a)<br />
Ms, Molecular weight of air = 28.3<br />
V, Actual velocity, m/s = 34.97*0.85*sqrt (14.62)*sqrt(433/83.75*28.3))