Reynolds Number is a dimensionless quantity used in fluid mechanics to predict the nature of fluid flow, whether it’s laminar, transitional, or turbulent. For a liquid flowing through a pipe or around an object, it’s defined as the ratio of inertial forces to viscous forces. The exact transition depends on pipe roughness or flow conditions.
Reynolds Number for Liquid Formula |
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\( Re \;=\; \dfrac{ 92.1\cdot SG \cdot Q }{ d \cdot \eta }\) (Reynolds Number) \( SG \;=\; \dfrac{ Re \cdot d \cdot \eta }{ 92.1\cdot Q }\) \( Q \;=\; \dfrac{ Re \cdot d \cdot \eta }{ 92.1\cdot SG }\) \( d \;=\; \dfrac{ 92.1\cdot SG \cdot Q }{ Re \cdot \eta }\) \( \eta \;=\; \dfrac{ 92.1\cdot SG \cdot Q }{ Re \cdot d }\) |
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| Symbol | English | Metric |
| \( Re \) = Reynolds Number | \( dimensionless \) | \( dimensionless \) |
| \( SG \) = Liquid Specific Gravity Relative to Water (water = 1) | \( dimensionless \) | \( dimensionless \) |
| \( Q \) = Liquid Flow Rate | \(ft^3\;/\;sec\) | \(m^3\;/\;s\) |
| \( d \) = Inside Diameter of Pipe | \( in\) | \( mm \) |
| \( \eta \) (Greek symbol eta) = Liquid Viscosity | \(lbf - sec\;/\;ft^2\) | \(Pa-s\) |
