Course: Unit Operations I (Transport Phenomena)
Practical 6: Diffusion of a Species in a Porous Medium
Objective
This exercise introduces students to mass transfer modeling in COMSOL Multiphysics, focusing on
species diffusion in a porous medium.
Step 1: Setting Up Your COMSOL Workspace
1. Open COMSOL Multiphysics.
2. In the Model Wizard:
o Select 2D as the space dimension.
o Under Physics, choose Transport of Diluted Species (tds).
o Click Study and select Time-Dependent.
o Click Done to create your workspace.
Step 2: Creating the Geometry
1. Navigate to the Geometry node.
2. Create a rectangular domain to represent a porous medium:
o Go to Geometry > Rectangle.
o Set Width = 1 cm and Height = 5 cm.
o Click Build All to generate the shape.
Step 3: Assigning Material Properties
1. Navigate to the Materials node.
2. Add a Custom Material and set the following properties for the porous medium:
o Diffusion Coefficient (D): 1e-9 [m²/s] (for slow diffusion in a porous solid).
o Porosity (ε): 0.35
Step 4: Defining Boundary Conditions
1. Navigate to the Transport of Diluted Species (tds) node.
2. Apply a Constant Concentration at the Left Boundary (Diffusing Species Source):
o Select the left edge of the rectangle.
o Set Concentration = 1.5 mol/m³.
3. Apply a No Flux Condition on the remaining edges
o Select the remaining edges of the rectangle.
o Choose No Flux Condition (-n·N = 0).
Step 5: Setting Up the Mesh
1. Navigate to the Mesh node.
2. Choose Physics-Controlled Mesh and select Finer.
3. Click Build All to generate the mesh.
Step 6: Running the Simulation
1. Navigate to the Study node.
2. Under Time Settings, set:
o Initial Time: 0 s
o Final Time: 1000 s
o Time Steps: 50 s
3. Click Compute to run the simulation.
Step 7: Visualizing Results
7.1 Concentration Distribution (Surface Plot)
7.2 Concentration Profile Along the Length of the Medium
Step 8: Parametric Study - Effect of Porosity on Diffusion
1. Navigate to the Study node.
2. Add a Parametric Sweep under Study Extensions.
3. Select Porosity (ε) as the parameter to vary.
4. Define values for different porosities: 0.25, 0.35, 0.50.
5. Click Compute to observe how porosity affects species transport.
Step 9: Determine the Concentration at a Specific Point
1. Find the concentration at the midpoint after 1000 s
Step 10: Exporting Results
1. Save your work as a COMSOL file.
2. Export concentration distribution as an image:
o Go to Results > Export and select Image.
o Save the image with your preferred resolution.