Porous Materials
A unique aspect of our research is the wide range of materials and applications being studied. Fundamental physics tie the various applications together, but specific modeling techniques vary widely: an emphasis on interfacial phenomena in one application versus convective transport in another; sub-micron characteristic lengths in one case versus hundreds of microns in another; highly uniform morphology in one material versus anisotropic, heterogeneous structure in another.

Consolidated Rocks: These natural materials exhibit widely varying porosity, permeability, heterogeneity, and morphology. The range of characteristic length makes multiscale modeling essential.

Packed Beds: Uniform packings are common in chemical engineering applications. They also serve as prototype materials for theoretical studies.

Granular Materials: Natural and synthetic granular materials share many attributes with packed beds, but exhibit more complex morphology because of variations in particle shape, size distribution, orientation, spatial correlation, and more.

Fibrous Materials: Fibrous materials are very different from their granular counterparts: solid volume fractions span three orders of magnitude, particles have high aspect ratios, and anisotropy is the norm rather than the exception.

Solid Foams: Like fibers, foams exhibit a large porosity range. Unlike fibers, they are consolidated, oftentimes isotropic, and exhibit very specific structures that are amenable to mathematical description.

Membranes: Microfilitration membranes are amorphous structures with pore sizes tailored to specific filtration applications. Modeling is challenging but important because of the critical applications that membranes are used in.