intersecting_trapezoids¶
- openpnm.models.geometry.hydraulic_size_factors.intersecting_trapezoids(target, pore_diameter='pore.diameter', throat_diameter='throat.diameter', midpoint=None)[source]¶
Computes hydraulic size factors for conduits of intersecting trapezoids.
- Parameters
target (OpenPNM Base object) – Object with which this model is associated. This controls the length of the calculated array, and also provides access to other necessary properties.
pore_diameter (str) – Name of the dictionary key on
target
where the array containing pore diameter values is storedthroat_diameter (str) – Name of the dictionary key on
target
where the array containing pore diameter values is storedmidpoint (str, optional) – Dictionary key of the midpoint values.
- Returns
size_factors – A dictionary containing the hydraulic size factors, which can be accessed via the dict keys ‘pore1’, ‘pore2’, and ‘throat’.
- Return type
dict
Notes
The hydraulic size factor is the geometrical part of the pre-factor in Stoke’s flow:
\[Q = \frac{A^2}{8 \pi \mu L} \Delta P = \frac{S_{hydraulic}}{\mu} \Delta P\]Thus \(S_{hydraulic}\) represents the combined effect of the area and length of the conduit, which consists of a throat and 1/2 of the pores on each end.
This model should only be used for true 2D networks, i.e. with planar symmetry.