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Bejan Number for Heat Transfer

The Bejan number is the dimensionless pressure drop along a channel of length L.

The Bejan number increases quadratically with length and directly with pressure. It decreases with increasing thermal diffusivity and dynamic viscosity.

Formula

QuantityVariable["Be", "BejanNumberHeatTransfer"] == (QuantityVariable["L", "Length"]^2*QuantityVariable["Δ​P", "Pressure"])/(QuantityVariable["α", "ThermalDiffusivity"]*QuantityVariable["η", "DynamicViscosity"])

symbol description physical quantity
Be Bejan number for heat transfer "BejanNumberHeatTransfer"
L length "Length"
α thermal diffusivity "ThermalDiffusivity"
Δ​P pressure difference "Pressure"
η dynamic viscosity "DynamicViscosity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Bejan Number for Heat Transfer"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Bejan Number for Heat Transfer"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Bejan Number for Heat Transfer"], {QuantityVariable[ "L","Length"] -> Quantity[1, "Meters"], QuantityVariable["Be","BejanNumberHeatTransfer"] -> 1}]
Out[3]=

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