Reynolds Number Formula |
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\( Re \;=\; \dfrac{\rho \cdot v \cdot l_c }{ \mu } \) (Reynolds Number) \( \rho \;=\; \dfrac{Re \cdot \mu }{ v \cdot l_c} \) \( v \;=\; \dfrac{Re \cdot \mu }{ \rho \cdot l_c } \) \( l_c \;=\; \dfrac{ Re \cdot \mu }{ \rho \cdot v } \) \( \mu \;=\; \dfrac {\rho \cdot v \cdot l_c }{ Re } \) |
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Symbol | English | Metric |
\( Re \) = Reynolds Number | \( dimensionless \) | \( dimensionless \) |
\( \rho \) (Greek symbol rho) = Fluid Density | \( lbm \;/\; ft^3 \) | \( kg \;/\; m^3 \) |
\( v \) = Fluid Velocity | \( ft \;/\; sec \) | \( m \;/\; s \) |
\( l_c \) = Characteristic Length or Diameter of Fluid Flow | \( in \) | \( mm \) |
\( \mu \) (Greek symbol mu) = Fluid Dynamic Viscosity | \( lbf-sec \;/\; ft^2\) | \( Pa-s \) |
Reynolds number, abbreviated as Re, a dimensionless number, measures the ratio of inertial forces (forces that remain at rest or in uniform motion) to viscosity forces in the fluid flow (the resistance to flow). It is used to predict the flow regimes of a fluid or gas.
Reynolds Number Interpretation
It's important to note that these Reynolds number ranges are general guidelines, and the transition from laminar to turbulent flow can be influenced by factors such as surface roughness, disturbances, and the specific geometry of the flow.