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Porous Chamber Considering Air Heat Transfer, CFD Simulation

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The problem simulates the airflow and heat transfer inside a cube-shaped chamber consisting of a regular porous medium.

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Project Description

The problem simulates the airflow and heat transfer inside a cube-shaped chamber consisting of a regular porous medium. The porous medium used in this chamber is in the form of rows and columns of several aluminum balls, the number of which is 343. These aluminum balls have a density of 2719 kg.m-3, a specific heat capacity of 871, and thermal conductivity of 0.5 W.m-1.K-1.

The fluid in this chamber is air and there is no special air inlet and outlet for the chamber. The main purpose of this study is to investigate changes in air temperature inside the chamber under the influence of these items as a porous medium. In fact, the upper surface of the chamber has a constant temperature of 323 K and the lower surface has a constant temperature of 273 K, and the side walls are also insulated.

Porous Chamber Geometry & Mesh

The present model is three-dimensional and is drawn using the ِِِDesign Modeler software. The present model is related to the chamber, which has seven spheres as a porous medium in three different directions. The total number of these spheres is 343. The figure below shows a view of the geometry.


The meshing of the model has been done using ANSYS Meshing software and the mesh type is unstructured. The element number is 3451362. The figure below shows a view of the mesh.porous

Heat Transfer in a Porous Chamber CFD Simulation

To simulate the present model, several assumptions are considered:

  • The solver is a pressure-based perspective.
  • The present simulation is steady.
  • The gravity of -9.81 m.s-2 is considered.

A summary of the steps for defining a problem and defining its solution is given in the following table:

(Porous) Models
Viscous model k-epsilon
k-epsilon model standard
near-wall treatment standard wall function
Energy on
(Porous) Boundary conditions
down wall Wall
wall motion stationary wall
temperature 273 K
up wall Wall
wall motion stationary wall
temperature 353 K
sides walls
wall motion stationary wall
heat flux 0 W.m-2
(Porous) Solution Methods
Pressure-velocity coupling   Coupled
Spatial discretization pressure standard
density second-order upwind
momentum second-order upwind
energy second-order upwind
turbulent kinetic energy first-order upwind
turbulent dissipation rate first-order upwind
(Porous) Initialization
Initialization method   Standard
gauge pressure 0 Pa
velocity (x,y,z) 0 m.s-1
temperature 298 K


At the end of the solution process, two-dimensional and three-dimensional contours of velocity, pressure, and temperature, as well as two-dimensional and three-dimensional velocity vectors are obtained.

There is a mesh file in this product. By the way, the Training File presents how to solve the problem and extract all desired results.


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