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Reynolds Number Calculator

💨 Gas Laws & Fluids. Use the Reynolds number formula to find reynolds number, density ρ, speed, pipe diameter, viscosity μ: pick the value you want, type the others, and the answer updates as you go.

Re=ρvDμRe = \dfrac{\rho v D}{\mu}

Below ~2000 the flow is smooth (laminar), above ~4000 turbulent.

Reynolds number2000

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Reynolds numberno unit
Density ρkg/m³
Speedm/s
Pipe diameterm
Viscosity μPa·s

Worked example

Find the reynolds number when Density ρ = 1000 kg/m³, Speed = 0.1 m/s, Pipe diameter = 0.02 m, Viscosity μ = 0.001 Pa·s.

Using Re = (ρ v D)/μ: Reynolds number = 2000.

Frequently asked questions

What is the formula for Reynolds number?

Re = (ρ v D)/μ. Below ~2000 the flow is smooth (laminar), above ~4000 turbulent.

What do the letters stand for, and what units are used?

Reynolds number, Density ρ in kg/m³, Speed in m/s, Pipe diameter in m, Viscosity μ in Pa·s.

How do you calculate reynolds number?

Put the values into Re = (ρ v D)/μ. For example, with Density ρ = 1000 kg/m³, Speed = 0.1 m/s, Pipe diameter = 0.02 m, Viscosity μ = 0.001 Pa·s, reynolds number = 2000.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (reynolds number, density ρ, speed, pipe diameter, viscosity μ) and fill in the others: it rearranges the formula for you.

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