![]() Same amount of air is flowing through the narrow part as the wide part, it mustĬylinder of fluid is accelerating, it must be acted on by a force pushing it Obviously, it must speed up as it enters the narrow part of the tube -since the Imagine now a cylinder of air moving along the pipe, its Of fluid is flowing through a narrower region. The fluid is moving in, but also gives some idea of the speed -where theyĬome closer together, the fluid must be moving faster, because the same amount Rest, the total force on it was zero, so the net pressure balanced theįlow by drawing in streamlines, lines such that their direction is theĭirection the fluid is moving in at each point.Īctually, these streamlines not only tell you the direction The way weĭid that, remember, was by drawing a free body diagram for a small cylinder of To see how this could be, we will apply the techniques weĭeveloped to find how pressure varied in a stationary fluid. U-tubes measures the pressure difference between that point in the flow tube The difference in heights of the dark liquid in the two arms of the ![]() But in fact, if we actually do theĮxperiment, by putting pressure gauges at various points along the tube, we find,Ĭounter intuitively, that the air pressure is lowest where the air is moving Pressure will be greatest in the narrow portion of the tube. Most people asked this for the first time predict that the Tube do you expect the pressure to be greatest? Smoothly, and the air flows steadily down the tube, with no eddies or Assume all the changes in diameter take place Narrows down to half the diameter, then widens out again. Has a constant diameter except for a section in the middle where the tube Suppose air is being pumped down a smooth round tube, which
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