Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Chandrasekhar Number

The Chandrasekhar number is a dimensionless quantity used in magnetic convection to represent the ratio of the Lorentz force to the viscosity.

The Chandrasekhar number equals the product of the square of the magnetic flux density, the square of the characteristic length and electric conductivity divided by the kinematic viscosity and mass density.

Formula

QuantityVariable["Q", "ChandrasekharNumber"] == (QuantityVariable["B", "MagneticFluxDensity"]^2*QuantityVariable["l", "Length"]^2*QuantityVariable["σ", "ElectricConductivity"])/(QuantityVariable["ν", "KinematicViscosity"]*QuantityVariable["ρ", "MassDensity"])

symbol description physical quantity
Q Chandrasekhar number "ChandrasekharNumber"
B magnetic flux density "MagneticFluxDensity"
l characteristic length "Length"
ν kinematic viscosity "KinematicViscosity"
ρ mass density "MassDensity"
σ electric conductivity "ElectricConductivity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Chandrasekhar Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Chandrasekhar Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Chandrasekhar Number"], {QuantityVariable[ "B","MagneticFluxDensity"] -> Quantity[1, "Milliteslas"], QuantityVariable["Q","ChandrasekharNumber"] -> 1, QuantityVariable["\[Rho]","MassDensity"] -> Quantity[1000, ("Kilograms")/("Meters")^3], QuantityVariable["l","Length"] -> Quantity[1, "Meters"]}]
Out[3]=

Publisher Information