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Eckert Number

The Eckert number is a dimensionless number used in continuum mechanics. It expresses the relationship between a flow's kinetic energy and the boundary layer enthalpy difference, and is used to characterize heat dissipation.

The Eckert number equals the characteristic speed squared divided by twice the product of the specific heat capacity and the temperature difference.

Formula

QuantityVariable["Ec", "EckertNumber"] == QuantityVariable["v", "Speed"]^2/(2*QuantityVariable["c", "SpecificHeatCapacity"]*QuantityVariable["Δ​T", "TemperatureDifference"])

symbol description physical quantity
Ec Eckert number "EckertNumber"
c specific heat capacity "SpecificHeatCapacity"
v characteristic speed "Speed"
Δ​T temperature difference "TemperatureDifference"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Eckert Number"], {QuantityVariable[ "\[CapitalDelta]\[InvisibleSpace]T","TemperatureDifference"] -> Quantity[273, "KelvinsDifference"]}]
Out[3]=

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