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Biot Number

The Biot number is a dimensionless quantity used in heat transfer calculations. It determines whether or not the temperatures inside a body will vary significantly in space, while the body heats or cools over time, from a thermal gradient applied to its surface.

The Biot number equals the product of the heat transfer coefficient and the characteristic length divided by thermal conductivity.

Formula

QuantityVariable["Bi", "BiotNumberHeatTransfer"] == (QuantityVariable["K", "HeatTransferCoefficient"]*QuantityVariable["l", "Length"])/QuantityVariable["k", "ThermalConductivity"]

symbol description physical quantity
Bi Biot number for heat transfer "BiotNumberHeatTransfer"
k thermal conductivity "ThermalConductivity"
K heat transfer coefficient "HeatTransferCoefficient"
l characteristic length "Length"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Biot Number"], {QuantityVariable["k","ThermalConductivity"] -> Quantity[1, ("Watts")/("KelvinsDifference" "Meters")], QuantityVariable["K","HeatTransferCoefficient"] -> Quantity[1, ("Watts")/("KelvinsDifference" ("Meters")^2)]}]
Out[3]=

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