A. Effects of Pitot tube on the velocity distribution in Cyclone.
When a Pitot tube is inserted into a small Cyclone, the pressure drop,
ΔHp, decreases. It is suspected that this reductions of pressure drop may have been caused by the decreased rotating velocity of gas due to the insertion of the Pitot tube. If so, the observed values of rotating velocity must be smaller than the real velocity of whirl in the Cyclone.
In our previous paper, the pressure drop of Cyclone was given by the following eq.
(i)
where (ii)
This eq. is introduced on the assumption that the difference between the moment of momentum of gas at the inlet and outled duct is equal to the moment of friction force on the cyclone wall.
However, when a Pitot tube is inserted into Cyclone, the moment of drag force of the Pitot tube due to the collision of gas must be taken into consideration.
Thus, φ
III, φ
II, φ
I and φ
0 are introduced as showm in eq. (5), (9), (10) and (11), respectively. These values are less than φ, so the rotating velocity of gas at the circumference of the Cyclone, Vie, must also be lower, judging from the definition of φ shown in eq. (ii). Substituting φ
III, φ
II etc. for φ, the pressure drops in the Cyclone with the Pitot tube inserted can be calculated.
In other words, when the pressure drops in the Cyclone with Pitot tube inserted are known, the values of φ
III, φ
II etc. are obtained by the eq. (12). Then, the real rotating velocities can be calculated from the observed ones multiplied by the ratio φ/φ
III, φ/φ
II etc.
In the case of cylindrical Pitot tube, the length of top stem l' (see Fig 8), affects the velocity measured in the Cyclone. As described in eq. (5), the longer the length inserted into Cyclone, the lower the rotational velocity. Consequently, the longer the length l' is the higher the observed values must be. But the measured values prove to be smaller than the anticipated ones, as shown in Table I, which has led us to obtain experimentally, the relation expressed as eq (14).
Thus we are able to calculate the real rotating velocity in Cyclone by taking into consideration above two calibrations and the average calibrated values obtained with all the Pitot tubes in use. From the calibrated velocity distribution, we are able to show the existence of the potential flow (
Vi·rn=const. n=1) in the domain II (see Fig. 6 and 7), though in the measured velocity distribution the indexes, n, are less than 1, as shown in Fig. 4.
B. Effects of Pitot tube on the statical pressure distribution in Cyclone.
Statical pressure in Cyclone measured with Pitot tube also differs from the real statical pressure free from the influence of Pitot tube: the larger the dia, of the Pitot tube, the lower the statical pressure near the Cyclone wall, and at the same time the higher the statical pressure near the center.
We studied the method of calibration and obtained the relations as shown in eqs. (21), (22), (23) and (24). with the conclusion that the values calculated by these equations are independent of the size of Pitot tube.
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