r""" Pore-scale models for calculating the conductance of conduits. """ __all__ = [ '_poisson_conductance', '_get_key_props', ] def _poisson_conductance(phase, pore_conductivity=None, throat_conductivity=None, size_factors=None): r""" Calculates the conductance of the conduits in the network, where a conduit is (1/2 pore - full throat - 1/2 pore). See the notes section. Parameters ---------- phase : OpenPNM Phase The object which this model is associated with. This controls the length of the calculated array, and also provides access to other necessary properties. pore_conductivity : str Dictionary key of the pore conductivity values throat_conductivity : str Dictionary key of the throat conductivity values size_factors: str Dictionary key of the conduit size factors' values. Returns ------- g : ndarray Array containing conductance values for conduits in the geometry attached to the given physics object. Notes ----- This function requires that all the necessary phase properties already be calculated. """ network = phase.network cn = network.conns Dt = phase[throat_conductivity] D1, D2 = phase[pore_conductivity][cn].T # If individual size factors for conduit constiuents are known SF = network[size_factors] if SF.ndim == 2: F1, Ft, F2 = SF.T g1 = D1 * F1 gt = Dt * Ft g2 = D2 * F2 return 1 / (1 / g1 + 1 / gt + 1 / g2) else: # Otherwise, i.e., the size factor for the entire conduit is only known F = network[size_factors] return Dt * F def _get_key_props(phase=None, diameter="throat.diameter", surface_tension="throat.surface_tension", contact_angle="throat.contact_angle"): """ Returns desired properties in the correct format! See Notes. Notes ----- Many of the methods are generic to pores and throats. Some information may be stored on either the pore or throat and needs to be interpolated. This is a helper method to return the properties in the correct format. TODO: Check for method to convert throat to pore data """ element = diameter.split(".")[0] if element == "pore": if "throat" in surface_tension: sigma = phase.interpolate_data(propname=surface_tension) else: sigma = phase[surface_tension] if "throat" in contact_angle: theta = phase.interpolate_data(propname=contact_angle) else: theta = phase[contact_angle] if element == "throat": if "pore" in surface_tension: sigma = phase.interpolate_data(propname=surface_tension) else: sigma = phase[surface_tension] if "pore" in contact_angle: theta = phase.interpolate_data(propname=contact_angle) else: theta = phase[contact_angle] return element, sigma, theta