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The Reynolds number is the relationship between inertial forces (numerator) and viscious forces (demoninator).

The terms in the numerator are usually the fluid density, velocity, and "characteristic" dimension (which has units of length).

Depending on the type of problem you are trying to solve that characteristic dimension may be a length (flat plate problem) or a diameter (flow in a round tube), or hydraulic diameter (non-circular internal flow).

Since a non-circular cross section has more surface area than a circular cross section area there needs to be a way to account for this difference.

If you use the hydraulic diameter equation to calculate the hy. dia. of a circular cross section, you will get the diameter of the circle.

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13y ago

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Q: Why you have to calculate hydraulic diameter to find Reynolds number?
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