Reynolds number

In fluid mechanics and , the is a measure of the ratio of inertial forces (vsρ) to viscous forces (μ/L) and, consequently, it quantifies the relative importance of these two types of forces for given flow conditions.

\mathit{Re} = \frac{\mbox{Dynamic pressure}}{\mbox{Shearing stress}} = {\rho v_{s}^2/D \over \mu v_{s}/D^2} = {\rho v_{s} D\over \mu} = {v_{s} D\over \nu}

It is the most important dimensionless number in fluid dynamics and is used, usually along with other dimensionless numbers, to provide a criterion for determining dynamic similitude. When two geometrically similar flow patterns, in perhaps different fluids with possibly different flow rates, have the same values for the relevant dimensionless numbers, they are said to be dynamically similar, and will have similar flow geometry.

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Category: Aerospace Engineering

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