{"id":160254,"date":"2022-09-26T10:15:17","date_gmt":"2022-09-26T10:15:17","guid":{"rendered":"\/knowledge\/forums\/topic\/discovery-porous-media-coefficient-calculator\/"},"modified":"2023-12-20T08:21:02","modified_gmt":"2023-12-20T08:21:02","slug":"discovery-porous-media-coefficient-calculator","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/discovery-porous-media-coefficient-calculator\/","title":{"rendered":"Discovery: Porous media coefficient calculator"},"content":{"rendered":"

Porous conditions<\/strong>\u00a0can be used to model a wide variety of applications, such as fluid flow through filters, packed beds, perforated plates, flow distributors, and tube banks. The porous medium is modeled as a momentum loss, the magnitude of which involves resistance coefficients.<\/p>\n

Porous media condition can be used in Explore as well as Refine mode.<\/p>\n

Si<\/sub>=-(\u00b5\/\u03b1 vi<\/sub>\u00a0+ \u00bd C2<\/sub>\u03c1|v|vi<\/sub>)<\/p>\n

where<\/p>\n

Si\u00a0<\/sub>is the momentum source which accounts for the porous loss<\/p>\n

C2\u00a0<\/sub>is the inertial resistance<\/p>\n

\u03b1 is the permeability<\/p>\n

\u03bc is the fluid viscosity<\/p>\n

\u03c1 is the fluid density<\/p>\n

|v| is the velocity magnitude<\/p>\n

vi<\/sub>\u00a0is the velocity vector of the ith<\/sup>\u00a0component in the medium<\/p>\n

For low-Reynolds number flows, the viscous loss typically dominates, and the inertial resistance coefficient can often be set to 0. For turbulent flows, the inertial loss typically dominates, and the viscous resistance coefficient can often be set to 0.<\/p>\n

If you have experimental tabulated data of pressure\u00a0drop as a function of velocity for a porous medium of thickness \u0394x<\/b>, you can\u00a0derive<\/a>\u00a0the resistance coefficients:<\/p>\n

\u0394P\/\u0394x = -(\u00b5\/\u03b1 v + \u00bd C2<\/sub>\u03c1v2<\/sup>)<\/strong><\/p>\n

This document provides a guide on how to calculate and define the resistance coefficients using a script or spreadsheet calculator for isotropic porous media in ANSYS Discovery.<\/p>\n

FAQ_porous_media_Discovery<\/a><\/p>\n

Please use attached discovery script to automatically calculate the porous media coefficients and apply them. While a more comprehensive tool is under development, with the attached tool, you can calculate the isotropic porous media coefficient, that is Inertial and Viscous resistance in the streamline direction.<\/p>\n

Porous_Coefficients_isotropic<\/a><\/p>\n

 <\/p>\n

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