PrecipitateVolumeFraction

Source: models/kwn/PrecipitateVolumeFraction.py

Compute the precipitate volume fraction from a discrete size distribution.

For a discrete distribution with per-bin radius \(R_i\) and per-bin number density \(n_i\), the precipitate volume fraction is

\[ f = \sum_i \tfrac{4}{3} \pi R_i^3 \, n_i \]

where the sum runs over all precipitate size bins.

Inputs

number_density — input · Scalar · required

Number density per size bin

Outputs

volume_fraction — output · Scalar · required

Precipitate volume fraction

Parameters

radius — parameter · Scalar · required

Precipitate radius per size bin