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I recently did an experiment whereby we investigated the velocity distribution of air expelled from a round nozzle whose diameter, D, was 30mm.

We have been asked to calculate the volume flow rate at distances of 2D, 6D and 10D along the centreline. We found the flow rates to INCREASE linearly as you moved DOWNSTREAM.

We assumed the volume flow rate would be constant due to the conservation of momentum.

Please could you explain why we found this relationship?

Thanks