Pore-scale modeling and simulation of reactive flow in porous media has a range of diverse applications, and poses a number of research challenges. It is known that the morphology of a porous medium has significant influence on the local flow rate, which can have a substantial impact on the rate of chemical reactions. While there are a large number of papers and software tools dedicated to simulating either fluid flow in 3D computerized tomography (CT) images or reactive flow using pore-network models, little attention to date has been focused on the pore-scale simulation of sorptive transport in 3D CT images, which is the specific focus of this paper. Here we first present an algorithm for the simulation of such reactive flows directly on images, which is implemented in a sophisticated software package. We then use this software to present numerical results in two resolved geometries, illustrating the importance of pore-scale simulation and the flexibility of our software package.
Filtration in general, and the dead end depth filtration of solid particles out of fluid in particular, is intrinsic multiscale problem. The deposition (capturing of particles) essentially depends on local velocity, on microgeometry (pore scale geometry) of the filtering medium and on the diameter distribution of the particles. The deposited (captured) particles change the microstructure of the porous media what leads to change of permeability. The changed permeability directly influences the velocity field and pressure distribution inside the filter element. To close the loop, we mention that the velocity influences the transport and deposition of particles. In certain cases one can evaluate the filtration efficiency considering only microscale or only macroscale models, but in general an accurate prediction of the filtration efficiency requires multiscale models and algorithms. This paper discusses the single scale and the multiscale models, and presents a fractional time step discretization algorithm for the multiscale problem. The velocity within the filter element is computed at macroscale, and is used as input for the solution of microscale problems at selected locations of the porous medium. The microscale problem is solved with respect to transport and capturing of individual particles, and its solution is postprocessed to provide permeability values for macroscale computations. Results from computational experiments with an oil filter are presented and discussed
KAUST RepositoryPore-scale modeling and simulation of flow, transport, and adsorptive or osmotic effects in membranes: the influence of membrane microstructureReceived: date / Accepted: date Abstract The selection of an appropriate membrane for a particular application is a complex and expensive process. Computational modeling can significantly aid membrane researchers and manufacturers in this process. The membrane morphology is highly influential on its efficiency within several applications, but is often overlooked in simulation. Two such applications which are very important in the provision of clean water are forward osmosis and filtration using functionalized micro/ultra/nano-filtration membranes. Herein, we investigate the effect of the membrane morphology in these two applications. First we present results of the separation process using resolved finger-and sponge-like support layers. Second, we represent the functionalization of a typical microfiltration membrane using absorptive pore walls, and illustrate the effect of different microstructures on the reactive process. Such numerical modeling will aid manufacturers in optimizing operating conditions and designing efficient membranes.
The performance of oil filters used in the automotive industry can be
significantly improved, especially when computer simulation is an essential component
of the design process. In this paper, we consider parallel numerical algorithms for
solving mathematical models describing the process of filtration, filtering solid particles
out of liquid oil. The Navier — Stokes — Brinkmann system of equations is used to
describe the laminar flow of incompressible isothermal oil. The space discretization
in the complicated filter geometry is based on the finite-volume method. Special care
is taken for an accurate approximation of the velocity and pressure on the interface
between the fluid and the porous media. The time discretization used here is a proper
modification of the fractional time step discretization (cf. Chorin scheme) of the Navier-
Stokes equations, where the Brinkmann term is considered in both the prediction and
the correction substeps.
A data decomposition method is used to develop a parallel algorithm, where the domain
is distributed among the processors by using a structured reference grid. The MPI
library is used to implement the data communication part of the algorithm. A theoretical
model is proposed for the estimation of the complexity of the given parallel
algorithm and a scalability analysis is done on the basis of this model. The results of
the computational experiments are presented, and the accuracy and efficiency of the
parallel algorithm is tested on real industrial geometries.
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