Ansys CFX – Porous Medium

Written by cfd.ninja

March 11, 2020

Bookstore

A porous medium is a solid with voids distributed more or less uniformly throughout the bulk of the body.

The basic characteristic of this medium is porosity. The bulk porosity Π of a material is defined as the ratio of void volume Vv to body volume V0, Π = Vv/V0. Since the remaining portion Vs of the total volume of the material is in the form of a solid “skeleton”, then

For example, the porosity of porous materials with the skeleton formed by spherical particles with diameter dp can be found from the relation

where Np is the number of particles per unit volume. These spheres can be arranged in various ways (Figures 1a and b). The cubic arrangement of spheres of the same diameter is characterized by a porosity of 0.476, while at a denser, rhombic, packing the porosity reduces to 0.259 (theoretically, this is the minimum porosity of packing of uniform spheres without deformation of the solid). The real porosity generally is estimated using its relation to density ρΣ = ρ0(1−Π) or Π = 1(ρΣ0), where ρΣ and ρ0 are the densities of the medium and of the solid material forming its skeleton, respectively.

Permeability (or gas permeability) is the property which gives a measure of the gas flow through a porous medium exposed to a pressure difference. The superficial velocity V of fluid flow depends on permeability and pressure gradient in accordance with a modified Darcy equation

Here, superficial velocity v is defined as the volumetric flow rate of the fluid per unit cross section of the medium. The coefficent α allows for friction losses that are characterized by the fluid viscosity η and the structure of a porous matrix. The coefficient of inertia β takes into account the losses associated with expansion, constriction, and bends in the pore channels; these losses are approximately proportional to ρV2.

The modified Darcy equation is universal and describes isothermal liquid and gas flow in any porous solids without allowance for capillary forces. The influence of capillary forces (an increase in viscosity) is observed in water at the pore sizes dp < 1 μm. As a consequence, the ratio of water to gas flow rates for identical pressure difference may be either proportional to the ratio of their viscosities at high dp or decrease by nearly a factor of 20 for porous channels of small diameter.

.

In this tutorial you will learn to simulate a porous medium in 2D using ANSYS CFX. First, we will build a geometry and then we will generate the mesh using a structured mesh in Ansys Meshing.

Ansys CFX – NACA 4412 (Structured Mesh)

Ansys CFX – NACA 4412 (Structured Mesh)

The NACA four-digit wing sections define the profile by:
First digit describing maximum camber as percentage of the chord.
Second digit describing the distance of maximum camber from the airfoil leading edge in tenths of the chord.

OpenFOAM vs ANSYS CFX

OpenFOAM vs ANSYS CFX

OpenFOAM is the free, open source CFD software developed primarily by OpenCFD Ltd since 2004. It has a large user base across most areas of engineering and science, from both commercial and academic organisations.

We share the same tutorial using ANSYS Fluent.

Related Articles

Autodesk Inventor – Change Units

Autodesk Inventor – Change Units

For parts, assemblies, and presentations the template file sets the default units used in a file. For drawings, the active standard and the dimension style specified in the template file sets the units.

Ansys CFX – NACA 4412 (Structured Mesh)

Ansys CFX – NACA 4412 (Structured Mesh)

The NACA four-digit wing sections define the profile by:
First digit describing maximum camber as percentage of the chord.
Second digit describing the distance of maximum camber from the airfoil leading edge in tenths of the chord.

Stay Up to Date With The Latest News & Updates

Help us keep growing

CFD.NINJA is financed with its own resources, if you want to support us we will be grateful.

Join Our Newsletter

Subscribe to receive emails with detailed information related to the CFD.

Follow Us

Subscribe to our social networks to receive notifications about our new tutorials

Pin It on Pinterest

Shares

Share This

Share this post with your friends!