Discovery Physics

Discovery Physics

Discovery: Porous media coefficient calculator

    • FAQFAQ
      Participant

      Porous conditions can 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.

      Porous media condition can be used in Explore as well as Refine mode.

      Si=-(µ/α vi + ½ C2ρ|v|vi)

      where

      Sis the momentum source which accounts for the porous loss

      Cis the inertial resistance

      α is the permeability

      μ is the fluid viscosity

      ρ is the fluid density

      |v| is the velocity magnitude

      vi is the velocity vector of the ith component in the medium

      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.

      If you have experimental tabulated data of pressure drop as a function of velocity for a porous medium of thickness Δx, you can derive the resistance coefficients:

      ΔP/Δx = -(µ/α v + ½ C2ρv2)

      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.

      FAQ_porous_media_Discovery

      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.

      Porous_Coefficients_isotropic