Reynolds number formula

Reynolds number is a dimensionless quantity that characterizes the flow of a fluid. It helps predict fluid flow patterns in different situations by measuring the ratio between inertial and viscous forces. Low Reynolds numbers tend to correspond to laminar flows, while high Reynolds numbers tend to correspond to turbulent flows.

Links:

  1. Wikipedia.

reynolds_number

reynolds_number of the fluid.

Symbol:

Re

Latex:

\(\text{Re}\)

Dimension:

dimensionless

characteristic_length

characteristic_length of the system.

Symbol:

l_c

Latex:

\(l_\text{c}\)

Dimension:

length

density

density of the fluid.

Symbol:

rho

Latex:

\(\rho\)

Dimension:

mass/volume

flow_speed

flow_speed

Symbol:

u

Latex:

\(u\)

Dimension:

velocity

dynamic_viscosity

dynamic_viscosity of the fluid.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

pressure*time

law

Re = rho * u * l_c / mu

Latex:
\[\text{Re} = \frac{\rho u l_\text{c}}{\mu}\]