The effect of drainage front morphology on gaseous diffusion through partially saturated porous media is analyzed using the lattice Boltzmann method (LBM). Flow regimes for immiscible displacement in porous media have been characterized as stable displacement, capillary fingering, and viscous fingering. The dominance of a flow regime is associated with the relative magnitudes of gravity, viscou...

Motivated by Genzel et al.’s observations of high-redshift star-forming galaxies, containing clumpy and turbulent rings or disks, we build a set of equations describing the dynamical evolution of gaseous disks with inclusion of star formation and its feedback. Transport of angular momentum is due to ”turbulent” viscosity induced by supernova explosions in the star formation region. Analytical s...

We investigate iterative methods for solving consistent linear systems arising from the kinetic theory of gases and for providing multicomponent diffusion coefficients for gaseous mixtures. Various iterative schemes are proved to be convergent by using the properties of matrices with convergent powers and the properties of nonnegative matrices. In particular, we investigate StefanMaxwell diffus...

In order to better manage and monitor fluid flow and migration of chemicals in gas and liquid phases, a fundamental understanding and knowledge of the saturation dependency of permeability, diffusion and electrical conductivity in a porous medium is required. The initial fundamental formulations and recent research for characterization of transport properties in porous media are discussed. To i...