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The hydraulic diameter for a circular pipe of radius \(R\) is

  • A.0.5R
  • B.R
  • C.2R
  • D.4R

Answer: C

The hydraulic diameter is 2R.

Hydraulic diameter is defined as four times the flow area divided by the wetted perimeter:

\[ D_h = \frac{4A}{P} = \frac{4\pi R^{2}}{2\pi R} = 2R \]

For a full circular pipe it is simply the pipe diameter, which is why the definition carries the factor 4. 0.5R is the hydraulic radius \(A/P\), R is the pipe radius, and 4R double-counts the factor of 2.

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