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Rossiter Coefficient and Frequency

The Rossiter coefficient is related to the Strouhal number, a dimensionless number describing oscillating flow mechanisms. The frequency is the frequency of vortex shedding.

The frequency of vortex shedding equals the product of the characteristic speed and the difference between the mode number and the Rossiter coefficient \[Gamma] divided by the product of the characteristic length and the sum of the Mach number and the reciprocal of the Rossiter coefficient \[Kappa].

Formula

QuantityVariable["f", "Frequency"] == (QuantityVariable["v", "Speed"]*(QuantityVariable["n", "Unitless"] - QuantityVariable["γ", "Unitless"]))/(QuantityVariable["l", "Length"]*(QuantityVariable["Ma", "MachNumber"] + QuantityVariable["κ", "Unitless"]^(-1)))

symbol description physical quantity
f frequency "Frequency"
l characteristic length "Length"
v characteristic speed "Speed"
n mode number "Unitless"
γ Rossiter coefficient γ "Unitless"
Ma Mach number "MachNumber"
κ Rossiter coefficient κ "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Rossiter Coefficient and Frequency"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Rossiter Coefficient and Frequency"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Rossiter Coefficient and Frequency"], {QuantityVariable[ "l","Length"] -> Quantity[1, "Meters"], QuantityVariable["f","Frequency"] -> Quantity[1, "Hertz"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1878

Publisher Information