Flow through Pore-Size Graded Membrane Pore Networks

TL;DR

This study models flow and fouling in pore-size graded membrane filters, revealing an optimal pore-radius gradient that enhances efficiency and showing that longer pores improve filter performance.

Contribution

It introduces a pore network model incorporating pore-size gradients and identifies optimal gradient conditions for filter efficiency improvement.

Findings

Optimal pore-radius gradient maximizes filter efficiency.

Longer characteristic pore length leads to better performance.

Filter performance depends on pore structure and gradient design.

Abstract

Pore-size gradients are often used in the design of membrane filters to increase filter lifetime and ensure fuller use of the initial membrane pore volume. In this work, we impose pore-size gradients in the setting of a membrane filter with an internal network of interconnected tube-like pores. We model the flow and foulant transport through the filter using the Hagen-Poiseuille framework coupled with advection equations via conservation of fluid and particle flux, with adsorption as the sole fouling mechanism. We study the influence of pore-size gradient on performance measures such as total filtrate throughput and accumulated contaminant concentration at the membrane downstream pore outlets. Within the limitations of our modeling assumptions we find that there is an optimal pore-radius gradient that maximizes filter efficiency independent of maximum pore length (an input parameter that influences the structure of the pore network), and that filters with longer characteristic pore length perform better.