Reynolds Number Calculator

Formula

The formula to calculate the Reynolds Number (Re) is:

\[ Re = \frac{p \cdot v \cdot L}{u} \]

Where:

\(Re\) is the Reynolds Number
\(p\) is the density of the fluid (kg/m³)
\(v\) is the flow speed of the fluid (m/s)
\(L\) is the diameter of the tube (m)
\(u\) is the dynamic viscosity of the fluid (Pa·s)

What is Reynolds Number?

Reynolds Number is a unitless factor that describes the ratio of inertial forces to viscous forces of an object moving through a fluid or gas. It helps in predicting flow patterns in different fluid flow situations.

Example Calculation

Let's assume the following values:

Density of Fluid (p) = 1000 kg/m³
Flow Speed of Fluid (v) = 2 m/s
Diameter of Tube (L) = 0.05 m
Dynamic Viscosity (u) = 0.001 Pa·s

Using the formula:

\[ Re = \frac{1000 \cdot 2 \cdot 0.05}{0.001} = 100000 \]

The Reynolds Number is 100,000.