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TurbulentMixingLengthDissipationRateInlet 
The widely used boundary condition for in rotating machinery inlet is turbulentMixingLengthDissipationRateInlet.
omega:
boundaryField
{
".*_inlet"
{
type compressible::turbulentMixingLengthDissipationRateInlet;
mixingLength 0.1;
phi phi;
k k;
value $internalField;
}
}
For internal flows the parameter mixingLength is recommended to be equal to hydrostatic diameter of the pipe.