Note on the motion of fluid in a curved pipe
W. R. Dean,J. M. Hurst +1 more
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In this paper, it is assumed that the actual secondary motion is replaced by a uniform stream; conditions in the central part of the section mainly determines the motion and the appropriate velocity of the stream can be determined from the relation that has been found experimentally between the rate of flow in a curved pipe and the pressure gradient.Abstract:
In the stream-line motion of fluid in a curved pipe the primary motion along the line of the pipe is accompanied by a secondary motion in the plane of the cross-section. The secondary motion decreases the rate of flow produced by a given pressure gradient and causes an outward movement of the region where the primary motion is greatest. It is difficult to deduce these consequences from the exact equations of motion, but it is easy to do so if it is assumed that the actual secondary motion is replaced by a uniform stream; conditions in the central part of the section mainly determines the motion and here the secondary motion is approximately a uniform stream. The appropriate velocity of the stream can be determined from the relation that has been found experimentally between the rate of flow in a curved pipe and the pressure gradient.read more
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References
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Journal ArticleDOI
Streamline Flow through Curved Pipes
TL;DR: In this paper, the authors defined a numerical coefficient, defined as F d /8 μv representing the increase of resistance due to curvature, d, diameter of pipe, D, mean diameter of coil.
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Experiments on stream-line motion in curved pipes
TL;DR: In this paper, it was shown that even a small curvature in the length of a cylindrical pipe affected the quantity of flow of water through the pipe, inasmuch as the effect at velocities below the critical velocity for a straight pipe was most remarkable.