Nonlinear effects in multiple regime transport of momentum in longitudinalcapillary porous medium morphology

Equations and consistent closure models based on volume averaging theory (V AT) are developed for transport of momentum, heat, and mass species in a me dium with irregularities in a substantially regular porous medium. One-dime nsional straight parallel pore morphology (SPPM) is chosen because analytic al solutions for bulk permeability and dispersion coefficients can be obtai ned. A single-phase fluid medium is considered with the potential for accom panying transport of a dilute specie. Numerical simulation results are pres ented for a canonical morphology consisting of specified, stationary distri butions of binary and random diameter distributions of straight pores. Unex pected results were obtained for various flow regime momentum transports in irregular media, demonstrating the influence of deviations in the porous m edium's morphology. A Poiseuille-like equation is derived for this morpholo gy that has no adjustable parameters.