The Reynolds number (\(Re\)) is a dimensionless quantity used in fluid mechanics to predict the flow regime in a fluid system.
It is defined as:
\[
Re = \frac{\rho v L}{\mu}
\]
Where:
\(\rho\) = fluid density, \(v\) = flow velocity, \(L\) = characteristic length, \(\mu\) = dynamic viscosity
- When \(Re<2000\), the flow is typically laminar.
- When \(Re>4000\), the flow is typically turbulent.
- The range in between is considered transitional.
Thus, Reynolds number helps determine whether the fluid flow is laminar or turbulent.