Bench Scale Modeling through MATHCAD

The basic concept of bench scale modeling is to test the effectiveness of an actual filtration design by shrinking the design parameters of the system (filter bed depth, filter bed surface area, and etc) to a smaller scale that is easier to test. For example, we would simulate a filter bed of 50 cm of sand with a 5 cm of sand with the porosity and specific gravity of the sand being constant. This would also enable us to test the validity of the empirical equations that are behind our design.
Our MATHCAD files are divided into three parts: input, calculation, and output. In the input section, the user is prompted to enter in the properties of the filter media, water, filter dimensions, and the degree of bed expansion targeted. The calculation section contains the empirical equations from Schulz, Okun, and Weber. The output section produces the fluidization velocity and the corresponding flow rate required for the targeted bed expansion.

Click here for the MATHCAD version of our MATHCAD File.

Click here for the PDF version of our MATHCAD File.

Multiple Layer Media MATHCAD file is coming.