Reynolds_number¶

plasmapy.formulary.
Reynolds_number
(rho: Unit("kg / m3"), U: Unit("m / s"), L: Unit("m"), mu: Unit("kg / (m s)")) > Unit(dimensionless)¶ The Reynolds Number is a dimensionless quantity that is used to predict flow patterns in fluids. The Reynolds Number is defined as the ratio of inertial forces to viscous forces. A low Reynolds Number describes smooth, laminar flow while a high Reynolds Number describes rough, turbulent flow.
\[Re = \frac{\rho U L }{\mu}\]Aliases:
Re_
Parameters: Warns: ~astropy.units.UnitsWarning – If units are not provided, SI units are assumed.
Raises: TypeError
– TheU
is not aQuantity
and cannot be converted into a ~astropy.units.Quantity.UnitConversionError
– If theU
is not in appropriate units.RelativityError
– If the velocityU
is greater than the speed of light.
Examples
>>> import astropy.units as u >>> rho = 1000 * u.kg / u.m ** 3 >>> U = 10 * u.m / u.s >>> L = 1 * u.m >>> mu = 8.9e4 * u.kg / (u.m * u.s) >>> Reynolds_number(rho, U, L, mu) <Quantity 11235955.05617978> >>> rho = 1490 * u.kg / u.m ** 3 >>> U = 0.1 * u.m / u.s >>> L = 0.05 * u.m >>> mu = 10 * u.kg / (u.m * u.s) >>> Reynolds_number(rho, U, L, mu) <Quantity 0.745>
Returns: Re – Dimensionless quantity. Return type: Quantity