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Reynolds number calculator

Compare inertial and viscous effects using a characteristic speed and length.

Calculator

Reynolds number
10,000.00000000
Characteristic speed
1
Characteristic length
0.01
Kinematic viscosity (m2/s)
0.00000100
Circular-pipe interpretation
Turbulent range for a circular pipe

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How this calculator works

Reynolds number compares inertia with viscosity. Choose a length relevant to the geometry, such as internal diameter for a full round pipe. Kinematic viscosity already includes density; dynamic viscosity needs density separately. The displayed regime thresholds apply to developed circular-pipe flow, not every flow geometry. Water reference options use the cited saturated-water property equations; custom data should match temperature, composition and shear conditions. Non-Newtonian foods and blood do not have a universal constant viscosity.

Formula

Re = U L/nu = rho U L/mu; nu = mu/rho. 1 cSt = 0.000001 m2/s; 1 cP = 0.001 Pa s.

Worked example

With U = 1 m/s, L = 0.01 m and nu = 0.000001 m2/s, Re = 10000. With U = 0.1 m/s, Re = 1000.

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Frequently asked questions

Which length should I enter?

Use the scale defining your flow problem. Circular pipe classifications require internal diameter.

Why do temperature and composition matter?

They change density and viscosity, sometimes strongly, so a fluid name alone is insufficient.

Can Reynolds number be zero?

Yes for zero speed. Recovering length, density or viscosity from zero motion is indeterminate.

Sources

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