Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Bodenstein Number with Thermal Conductivity

The Bodenstein number, a dimensionless number that is often used to describe axial mixing in so-called axial-dispersion models for tubular reactors. It represents the ratio between the convective transport to the transport by axial diffusion.

The Bodenstein number equals the thermal conductivity divided by the product of the specific heat capacity, characteristic length, characteristic speed and the mass density.

Formula

QuantityVariable["Bo", "BodensteinNumber"] == QuantityVariable["k", "ThermalConductivity"]/(QuantityVariable["c", "SpecificHeatCapacity"]*QuantityVariable["l", "Length"]*QuantityVariable["v", "Speed"]*QuantityVariable["ρ", "MassDensity"])

symbol description physical quantity
Bo Bodenstein number "BodensteinNumber"
c specific heat capacity "SpecificHeatCapacity"
k thermal conductivity "ThermalConductivity"
l characteristic length "Length"
v characteristic speed "Speed"
ρ mass density "MassDensity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Bodenstein Number with Thermal Conductivity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Bodenstein Number with Thermal Conductivity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Bodenstein Number with Thermal Conductivity"], {QuantityVariable[ "\[Rho]","MassDensity"] -> Quantity[1000, ("Kilograms")/("Meters")^3], QuantityVariable["Bo","BodensteinNumber"] -> 1, QuantityVariable["k","ThermalConductivity"] -> Quantity[1, ("Watts")/("KelvinsDifference" "Meters")], QuantityVariable["l","Length"] -> Quantity[1, "Meters"], QuantityVariable["v","Speed"] -> Quantity[1, ("Meters")/("Seconds")]}]
Out[3]=

Publisher Information