The formula for the calculation of Reynolds number (Re) for a fluid flow in a pipe or a bearing is:
Re = (ρvD)/μ
Where:
ρ (rho) is the fluid density (kg/m^3)
v is the fluid velocity (m/s)
D is a characteristic length, such as the diameter of the pipe or the journal diameter in a bearing (m)
μ (mu) is the fluid dynamic viscosity (Pa.s or N.s/m^2)
The Reynolds number is a dimensionless quantity that is used to determine the flow regime in a fluid flow system. It is used to classify the flow as laminar, transitional, or turbulent and is important for predicting the performance of the system and for designing appropriate components.