Reynolds Number ($Re$)
A dimensionless quantity characterizing the ratio of inertial forces to viscous forces. It is defined as , where is density, is characteristic velocity, and is characteristic length.
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The statement of the theorem
The Reynolds number () is a dimensionless ratio quantifying the relative importance of inertial forces to viscous forces. It is defined based on the fluid properties and characteristic scales:\n \nwhere is the fluid density (), is the characteristic free-stream velocity (), is the characteristic length scale (), and is the dynamic viscosity (). is a dimensionless quantity.
Source: Wikipedia