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The distributions of mean velocity U in the turbulent How of a fluid flowing under pressure through a straight pipe of annular cross‐section is calculated on the basis of the similarity theory of turbulence, assuming that the mean motion is steady and symmetrical about the axis of the pipe. Both the T and the M theories arc employed. Remembering that the dU/dr changes its sign at the position of maximum mean velocity, the annular region is divided into two regions, i.e., the inner and the outer, and these two regions are treated separately.

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