Discharge through a nozzle is maximum when there is sonic condition at throat
Answers
Consider the flow in a convergent-divergent nozzle (Fig. 40.9). The upstream stagnation conditions are assumed constant; the pressure in the exit plane of the nozzle is denoted by PE ; the nozzle discharges to the back pressure, PB .
With the valve initially closed, there is no flow through the nozzle; the pressure is constant at P0. Opening the valve slightly produces the pressure distribution shown by curve (i). Completely subsonic flow is discerned.
Then PB is lowered in such a way that sonic condition is reached at the throat (ii). The flow rate becomes maximum for a given nozzle and the stagnation conditions.
On further reduction of the back pressure, the flow upstream of the throat does not respond. However, if the back pressure is reduced further (cases (iii) and (iv)), the flow initially becomes supersonic in the diverging section, but then adjusts to the back pressure by means of a normal shock standing inside the nozzle. In suchcases, the position of the shock moves downstream as PB is decreased, and for curve (iv) the normal shock stands right at the exit plane.
Answer:
The discharge through a nozzle is maximum when there is a sonic condition at the throat. This is known as the choked flow condition.
Explanation:
From the above question,
Yes, the discharge via a nozzle is most when there is a sonic situation at the throat. This is recognized as the choked glide condition.
When a fluid flows thru a nozzle, it experiences a minimize in cross-sectional area. As the location decreases, the fluid pace will increase in accordance with the precept of continuity, which states that the mass waft fee of a fluid stays steady at some point of a system.
At some factor alongside the nozzle, the fluid speed will attain the neighborhood pace of sound. At this point, the go with the flow will become choked, and the pace can't enlarge further. Any reduce in downstream stress will now not end result in an enlarge in drift rate, due to the fact the glide is already visiting at the pace of sound.
The most drift charge takes place at this choked condition. If the downstream stress is decreased further, the drift fee will now not amplify however the pace will make bigger and attain a supersonic regime.
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