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Magnetic Reynolds Number

The magnetic Reynolds number is the magnetic analog of the Reynolds number, a fundamental dimensionless group that occurs in magnetohydrodynamics. It gives an estimate of the relative effects of advection or induction of a magnetic field by the motion of a conducting medium, often a fluid, to magnetic diffusion.

The magnetic Reynolds number equals the product of the characteristic length, characteristic speed, magnetic permeability and electric conductivity.

Formula

QuantityVariable["MRe", "MagneticReynoldsNumber"] == QuantityVariable["l", "Length"]*QuantityVariable["v", "Speed"]*QuantityVariable["μ", "MagneticPermeability"]*QuantityVariable["σ", "ElectricConductivity"]

symbol description physical quantity
MRe magnetic Reynolds number "MagneticReynoldsNumber"
l characteristic length "Length"
v characteristic speed "Speed"
μ magnetic permeability "MagneticPermeability"
σ electric conductivity "ElectricConductivity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Magnetic Reynolds Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Magnetic Reynolds Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Magnetic Reynolds Number"], {QuantityVariable[ "\[Sigma]","ElectricConductivity"] -> Quantity[1, ("Siemens")/("Meters")], QuantityVariable["MRe","MagneticReynoldsNumber"] -> 1}]
Out[3]=

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