Separation flow in matrices - redefinition of friction coefficients

Area of Science:

• Physical Chemistry
• Chemical Engineering
• Materials Science

Background:

• Separation flow through matrices and membranes is crucial in various scientific and industrial applications.
• Phenomenological coefficients, including hydraulic permeability (Lp) and reflection coefficient (sigma), are commonly used to characterize this flow.
• Theoretical interpretation often relies on friction coefficients (flm) describing component interactions.

Purpose of the Study:

• To simplify the definition and theoretical interpretation of friction coefficients (flm) in separation flow.
• To derive simplified expressions for hydraulic permeability (Lp) based on the refined friction coefficient definitions.

Main Methods:

• Theoretical analysis of phenomenological coefficients governing separation flow.
• Development and simplification of friction coefficient (flm) definitions.
• Derivation of new expressions for hydraulic permeability (Lp).

Main Results:

• A simplified definition for friction coefficients (flm) characterizing component interactions during flow past each other.
• The simplified friction coefficients lead to notably simplified expressions for hydraulic permeability (Lp).

Conclusions:

• The refined friction coefficient framework offers a more accessible theoretical interpretation of separation flow phenomena.
• The simplified hydraulic permeability (Lp) expressions facilitate practical application and further research in membrane and matrix separations.