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Deborah Number

The Deborah number is a dimensionless number often used in rheology that characterizes the fluidity of materials under specific flow conditions. It is based on the premise that given enough time, even a solid-like material will flow.

The Deborah number equals the ratio between the relaxation timescale (or molecular timescale) and the observation timescale.

Formula

QuantityVariable["De", "DeborahNumber"] == QuantityVariable[Subscript["t", "c"], "Time"]/QuantityVariable[Subscript["t", "p"], "Time"]

symbol description physical quantity
De Deborah number "DeborahNumber"
tc relaxation timescale "Time"
tp observation timescale "Time"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ResourceObject["Deborah Number"], {QuantityVariable[ \!\(\*SubscriptBox[\("t"\), \("p"\)]\),"Time"] -> Quantity[100, "Years"]}]
Out[3]=

Source Metadata

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