• The key to reliable simulations of flow in fractured porous media is the proper design, analysis and implementation of numerical methods. (uib.no)
  • The particular features of fractured porous media we concern ourselves with are the complex geometry of the fracture network and the disparity in scales in the model parameters. (uib.no)
  • In fact, one of the approaches leads to a general framework to preconditioning mixed-dimensional elliptic problems that can be applied to other problems with a similar hierarchical structure as the model of flow in fractured porous media. (uib.no)
  • The movement of a fluid through porous media is described by the combination of Darcy's law with the principle of conservation of mass in order to express the capillary force or fluid velocity as a function of various other parameters including the effective pore radius, liquid viscosity or permeability. (wikipedia.org)
  • According to Darcy's law, the fluid's viscosity, effective fluid permeability, and fluid pressure gradient determine the flow rate at any given location in the reservoir. (wikipedia.org)
  • The permeability of complex porous materials is of interest to many engineering disciplines. (springer.com)
  • L.J. Durlofsky, Numerical-calculation of equivalent grid block permeability tensors for heterogeous porous media. (esaim-m2an.org)
  • In parallel, fluid discharge rate and pressure drop are recorded to determine permeability, a key parameter for any application involving flow through porous media. (escholarship.org)
  • Preferential flow features (PFFs, e.g. fractures and faults) are common features in rocks that otherwise have significant matrix permeability. (edu.au)
  • This study experimentally examines the possibility of the turbulent drag reduction by an orthotropic porous medium whose streamwise permeability is larger than the wall-normal permeability. (aps.org)
  • This network will focus on issues affecting porous media flow, a topic which sits at the interface between engineering, biology, chemistry, physics, scientific computing and applied mathematics. (hw.ac.uk)
  • In fluid mechanics, fluid flow through porous media is the manner in which fluids behave when flowing through a porous medium, for example sponge or wood, or when filtering water using sand or another porous material. (wikipedia.org)
  • Classical flow mechanics in porous media assumes that the medium is homogenous, isotropic, and has an intergranular pore structure. (wikipedia.org)
  • Mass conservation of fluid across the porous medium involves the basic principle that mass flux in minus mass flux out equals the increase in amount stored by a medium. (wikipedia.org)
  • The unsteady stagnation-point flow of a hybrid nanofluid over a stretching/shrinking sheet embedded in a porous medium with mass transpiration and chemical reactions is considered. (techscience.com)
  • Cerebral aneurysm flow diverter modeled as a thin inhomogeneous porous medium in hemodynamic simulations. (physiciansweekly.com)
  • Classic porous medium (PM) methods can reduce computational expense but cannot capture the inhomogeneous FD wire distribution once implanted on a cerebral artery and thus cannot accurately model the post-stenting aneurysmal flow. (physiciansweekly.com)
  • We report a novel approach that models the FD flow modification as a thin inhomogeneous porous medium (iPM). (physiciansweekly.com)
  • In our simplified geometry, the ratio KappKD can best be correlated by non-Darcy effect (E). Total dissipation is directly related to the porous medium resistance against fluid flow. (tu-darmstadt.de)
  • An incompressible fluid is assumed to satisfy the time‐dependent Stokes equations in a porous medium. (iospress.com)
  • Mathematical model for an unsteady, incompressible, electrically conducting micropolar fluid past a vertical plate through porous medium with constant plate velocity has been investigated in the present study. (techscience.com)
  • The purpose of this investigation is to formulate correctly a set of boundary conditions to be prescribed at the interface between a viscous flow region and a porous medium so that the problem of a viscous flow past a porous body can be solved. (caltech.edu)
  • General macroscopic equations of motion for flow through porous media are first derived by averaging Stokes equations over a volume element of the medium. (caltech.edu)
  • An application of such equations and boundary conditions to a Poiseuille shear flow problem demonstrates that there usually exists a thin interface layer immediately inside the porous medium in which the tangential velocity varies exponentially and Darcy's law does not apply. (caltech.edu)
  • The primary feature is a jump condition on the tangential velocity, which is found to be directly proportional to the normal gradient of the tangential velocity immediately outside the porous medium. (caltech.edu)
  • The problem of studying the acoustic emission produced by filtering the gas through a porous medium has both applied and fundamental aspects. (scirp.org)
  • The excitation of elastic waves in the skeleton of the medium during gas filtration through a porous material is also theoretically analyzed in ref. [10] using the following model. (scirp.org)
  • An air flow penetrates a partially saturated porous medium and squeezes out liquid droplets from contractions of pores to their dilatations. (scirp.org)
  • The noise is recorded with a microphone (together with noise meter and laptop) in the air near a sample cut of the porous medium through which the air stream flows into the atmosphere. (scirp.org)
  • Thus an analysis of variations in the spectrum of acoustic emission and time of noise decay to the background level, which occur for controlled changes in the parameters of the pore space of the medium, will enable one to determine the mechanism of sound generation and localize noise sources arising in the volume of a porous sample as a result of air filtration through it. (scirp.org)
  • The RT instability is simulated inside a porous medium where heavy and light fluids are displaced. (uri.edu)
  • Inertial flow in a deformable porous medium. (yohan-davit.com)
  • The passage of a shock wave through a layer of the porous medium is accompanied by diffractions and viscous effects that attenuate and weaken the transmitted shock, thus reducing the load that develops on the target wall that is placed behind the protective layer. (tfmltechnion.com)
  • Assuming that the flow through the porous medium is close to being isentropic enabled us to develop a general constitutive model for predicting the pressure history developed on the target wall. (tfmltechnion.com)
  • For example, plumes are between 1.3 and 19 times wider than in associated porous media only scenarios, and medium-sized PFFs in moderately permeable matrices can reduce the maximum solute concentration by up to 10 4 times. (edu.au)
  • PurposeThis study aims at developing a comprehensive model for the analysis of electro-osmotic flow (EOF) through a fluid-saturated porous medium. (swan.ac.uk)
  • Indeed, as the channel size increases, the presence of the charged porous medium is essential to induce fluid flow. (swan.ac.uk)
  • Moreover, results demonstrate that flow is significantly affected by the characteristics of the porous medium, such as particle size, and by the zeta potential acting on the charged surfaces.Originality/valueTo the best of the authors' knowledge, a comprehensive FEM model, based on the generalised equations to simulate EOF in porous media, is proposed here for the first time. (swan.ac.uk)
  • We made a layered porous medium whose measured streamwise, wall-normal and spanwise permeabilities are K xx =26.9, K yy =1.45, and K zz =4.26 mm 2 , respectively. (aps.org)
  • We carry out particle image velocimetry measurements of turbulent square duct flows over the porous medium at the bulk Reynolds numbers of 3000-15000 and examine the drag reduction probability. (aps.org)
  • Although the present experiments do not show remarkable turbulence reduction over the porous medium, from the detailed analyses of the obtained data, it is confirmed that the present porous medium is suppressed at least to the same level as that of the flat smooth wall side while the near-wall flow structures are different. (aps.org)
  • We consider the problem of determining the pressure and velocity fields for a weakly compressible fluid flowing in a three-dimensional layer, composed of an inhomogeneous, anisotropic porous medium, with vertical side walls and variable upper and lower boundaries, in the presence of vertical wells injecting and/or extracting fluid. (birmingham.ac.uk)
  • The effect of variation of suction velocity on the three dimensional convective flow and heat transfer through a porous medium under the influence of a uniform magnetic field perpendicular to the wall is investigated. (mathsjournal.com)
  • The uniformly dispersed electric field influences the movement of the molecules being separated, and the porous channels throughout the matrix allows smaller molecules to move more readily through the medium than larger molecules. (cdc.gov)
  • In this contribution a new model for partially saturated porous media is presented, within the framework of gradient poromechanics, based on a phase field approach. (e3s-conferences.org)
  • In particular, the simulation convergence time scales poorly as the simulation domains become less porous or more heterogeneous. (springer.com)
  • Z. Chen and X. Yue, Numerical homogenization of well singularities in the flow transport through heterogeneous porous media. (esaim-m2an.org)
  • The Multiscale Finite-Volume (MSFV) method was originally proposed to solve elliptic problems arising from incompressible multiphase flow in highly heterogeneous porous media at reduced computational cost. (earthdoc.org)
  • The MCLW device comprises a porous low refractive index gel, agarose, deposited on a titanium coated glass slide. (rsc.org)
  • Measurement of colloidal phenomena during flow through refractive index matched porous media. (escholarship.org)
  • To partially address this need, this paper describes a static light scattering apparatus using a flow cell filled with refractive index matched (RIM) porous media, allowing real-time measurement of colloidal phenomena as a function of depth within the flow cell. (escholarship.org)
  • The interface boundary conditions of the first kind are then formulated with respect to the general macroscopic equations applied within the porous region. (caltech.edu)
  • This quantity can be obtained via direct flow simulation, which provides the most accurate results, but is very computationally expensive. (springer.com)
  • In this work, we address this limitation with a general multiscale deep learning model that is able to learn from porous media simulation data. (springer.com)
  • Rapid and accurate simulation of cerebral aneurysm flow modifications by flow diverters (FDs) can help improving patient-specific intervention and predicting treatment outcome. (physiciansweekly.com)
  • The basic law governing the flow of fluids through porous media is Darcy's Law, which was formulated by the French civil engineer Henry Darcy in 1856 on the basis of his experiments on vertical water filtration through sand beds. (wikipedia.org)
  • Here we revisit and expand the work of Pascal and Pascal [4], who analyzed the dynamics of a moving stable interface in a semi-infinite porous domain saturated by two fluids, displacing and displaced, both non-Newtonian of power-law behavior, assuming continuity of pressure and velocity at the interface, and constant initial pressure. (witpress.com)
  • The flow law for both fluids is a modified Darcy's law. (witpress.com)
  • Coupling the nonlinear flow law with the continuity equation considering the fluids compressibility, yields a set of nonlinear second-order PDEs. (witpress.com)
  • Ideal flow of slightly compressible single phase fluids from horizontal, isotropic reservoirs of linear and radial shapes has been thoroughly discussed in the literature, although specific information for closed radial reservoirs at large re/rw ratios is not readily accessible. (onepetro.org)
  • The model we study is based on interpretation of fractures and the porous rock as a mixed-dimensional geometry, and the resulting system of partial differential equations is highly coupled and parameter-dependent. (uib.no)
  • Other applications include generation of flow equations for steady-state injection in developed well patterns, and heat conduction shape factors for circular sources and sinks in bounded shapes. (onepetro.org)
  • The solution of the Stokes equations on these perforated domains is homogenized as ε → 0 by means of stochastic two‐scale convergence in the mean, and the homogenized limit is shown to satisfy a two‐pressure Stokes system containing both deterministic and stochastic derivatives and a Darcy‐type law with memory which generalizes the Darcy law obtained for fluid flow in periodically perforated porous media. (iospress.com)
  • The slow, viscous flow past a thin screen is analyzed based on Stokes equations. (caltech.edu)
  • To fully understand and exploit a number of applications, such a model for EOF through porous media is essential.Design/methodology/approachThe proposed model is based on a generalised set of governing equations used for modelling flow through fluid saturated porous media. (swan.ac.uk)
  • This necessitates the use of a flow model that considers the weighted proportion of various flow regimes like Darcy flow, transition flow, slip flow, and free molecular flow. (wikipedia.org)
  • Pores are more prone to disobey the Darcy model than throats due to irregularity in fluid flow, and they are introduced as the cause of Darcy-model cessation. (tu-darmstadt.de)
  • This collection will gather papers aiming to model, understand, predict, and even control multiphase and reactive flows, where nonequilibrium often prevails leading to instabilities, the emergence of complex patterns and preferential pathways, and dependencies on the path and rate of external driving forces. (frontiersin.org)
  • These features are interpreted to result from reactive porous flow of hot, acidic fluid enriched in nickel and sulfur through proto norite. (cardiff.ac.uk)
  • This implies that reactive porous flow could have been far more pervasive than currently realised and that Bushveld anorthosite layers formed through recrystallisation of norites. (cardiff.ac.uk)
  • Additionally, this paper describes how to use granular Nafion as RIM porous media. (escholarship.org)
  • The porous high-flow sampler oriented 30 degrees downward showed reasonable agreement with published mannequin wind tunnel studies and humanoid CFD investigations for solid particle aspiration into the mouth, whereas the horizontal orientation resulted in oversampling. (cdc.gov)
  • Four porous media different in morphology but similar in topology were studied numerically. (tu-darmstadt.de)
  • The present study numerically investigates two-dimensional laminar flow past three circular porous cylinders arranged in an in-line array. (asme.org)
  • We developed models to understand the interactions between a fluid and a poroelastic system , along with methods to handle such surfaces numerically, overcoming the conventional treatment of porous media as being rigid entities. (yohan-davit.com)
  • The related flow velocity, hydraulic conductivity and continuity equation equivalent to the continuum model are formulated based on the principle of flow balance. (mdpi.com)
  • The formation of gels modifies the porous media hydraulic conductivity. (sharcnet.ca)
  • Nevertheless, characterization based on stand-alone images does not provide enough insight on how the small-scale structures affect the macroscopic behavior for a given phenomenon (i.e., fluid flow). (springer.com)
  • Most studies of flow in porous media focus on rigid structures. (yohan-davit.com)
  • Shock wave attenuation by means of rigid porous media is often applied in protective structures. (tfmltechnion.com)
  • These adhesives, even when polymerized to form adequately the hybrid layer, are porous structures that can act as semipermeable membranes, allowing the bi-directional flow of water through the adhesive layer if it is not coated with a hydrophobic adhesive-resin layer 27 . (bvsalud.org)
  • Influence of various flow parameters on linear velocity, microrotation velocity, temperature, and concentration are presented graphically. (techscience.com)
  • T.Y. Hou and X.H. Wu, A multiscale finite element method for elliptic problems in composite materials and porous media. (esaim-m2an.org)
  • The analytical solution has applications in analyzing the problems, such as effects of gelation time, ratio of gelation time to injection time and verifying the numerical models that simulate flow and transport of solutions with time varying viscosity. (sharcnet.ca)
  • the particles were uniformly distributed around the surface of the porous cylinders. (asme.org)
  • In this work the method is applied to simulate two-component fluid flow inside porous media. (uri.edu)
  • In the last few decades, micro-tomographic imaging in conjunction with direct numerical simulations (digital rock technologies) have been developed extensively to act as a complementary tool for laboratory measurements of porous materials (Schepp et al. (springer.com)
  • However, when FD devices are explicitly represented in computational fluid dynamics (CFD) simulations, flow around the stent wires must be resolved, leading to high computational cost. (physiciansweekly.com)
  • Q = − k A μ ( d p d x ) {\displaystyle Q={\frac {-kA}{\mu }}\left({\frac {dp}{dx}}\right)} Darcy's law is valid for situation where the porous material is already saturated with the fluid. (wikipedia.org)
  • With Darcy's law assumed within the porous region, interface boundary conditions of the second kind are established which relate the flow variables across the interface layer. (caltech.edu)
  • Special interest is directed towards the solution of the Stokes flow past a circular annulus. (caltech.edu)
  • In this study, the numerical solution for turbulent flow over a rough porous plate with variable surface mass transfer is presented. (sdstate.edu)
  • Lattice Boltzmann (LB) method is a novel approach for simulating fluid flow in complex systems. (uri.edu)
  • In this thesis, we build upon the common approaches to discretization of the flow problem and deliver a numerical solution by constructing efficient numerical solvers and preconditioners. (uib.no)
  • The two main topics of our research are the design of preconditioners to finite element discretization of the linear flow model and the development of linearization methods to the non-linear model. (uib.no)
  • water nanofluid) impinging a flat porous plate under the effects of a non-uniform magnetic field and chemical reaction with variable reaction rate. (deepdyve.com)
  • water nanofluid) in a stagnation flow influenced by chemical reaction and magnetic field. (deepdyve.com)
  • Finally, we study a choice of non-linear and time-dependent flow models that appear in cases of enhanced conductivity of the fractures and compressibility of the fluid. (uib.no)
  • We validate our method with a laminar fluid flow case using vuggy samples and fractures. (springer.com)
  • Flow of quasi-spherical nanoparticles in liquid composite molding processes. (scirp.org)
  • Stagnation flow of viscous fluid is important due to its vast industrial applications, such as the flows over the tips of rockets, aircrafts, submarines and oil ships. (deepdyve.com)
  • The derived boundary conditions are applied in the solutions of two other problems: (1) Viscous flow between a rotating solid cylinder and a stationary porous cylinder, and (2) Stokes flow past a porous sphere. (caltech.edu)
  • Launder , B. , and Massey , T. , 1978, " The Numerical Prediction of Viscous Flow and Heat Transfer in Tube Bank ," ASME J. Heat Transfer 0022-1481, 100 , pp. (asme.org)
  • In this work we propose a non-dimensionalization approach for the Stokes-Brinkman model for flow in porous media. (arxiv.org)
  • I. Stokes Flow Past a Thin Screen. (caltech.edu)
  • Stokes flow past a circular screen with numerous holes is also attempted by assuming a set of approximate boundary conditions. (caltech.edu)
  • We study characteristics of acoustic emission caused by an air flow filtered through samples of solid porous pumice either partially filled with glycerin or dry. (scirp.org)
  • Furthermore, the flow past a solid cylinder, which had similar geometry characteristics to the porous cylinders used in this study, is compared with the flow around multiple porous cylinders. (asme.org)
  • The study of flow over a plate with surface blowing or suction has become very important during recent years due to the increased interest in modifying the temperature or flow characteristics of the boundary layer. (sdstate.edu)
  • Design and computational fluid dynamics investigation of a personal, high flow inhalable sampler. (cdc.gov)
  • We designed a porous head for this cassette and evaluated its performance using computational fluid dynamics (CFD) modeling. (cdc.gov)
  • By increasing the pore-to-throat ratio, the non-Darcian flow in the pores begins sooner. (tu-darmstadt.de)
  • In this paper, we present results of experimental investigations of acoustic emission, i.e., the air acoustic noise resulting from the interaction of small-scale turbulence of the filtered gas flow and pore walls. (scirp.org)
  • While the standard retention curve is expected still to provide the intrinsic retention properties of the porous skeleton, depending on the porous texture, an enhanced description of the surface tension between the wetting and the non-wetting fluid, occupying the pore space, is stated considering a regularized phase field model based on an additional contribution to the overall free energy depending on the saturation gradient. (e3s-conferences.org)
  • 3. Is it possible to model this kind of a radial flow in top view? (cfd-online.com)
  • Forchheimer model was selected to analyze the non-Darcian flow. (tu-darmstadt.de)
  • This model can be applied to predict the pressure build-up on the target wall for any pressure history that is imposed on the front face of the porous sample without the need to conduct numerous experiments. (tfmltechnion.com)
  • To fully understand and exploit a number of applications, such a model for EOF through porous media is essential.Design/methodology/approachThe proposed. (swan.ac.uk)
  • The model introduced is also used to carry out a sensitivity analysis of the main parameters that control EOF.FindingsThe analysis carried out confirms that EO in free channels without porous obstruction is effective only at small scales, as largely discussed in the available literature. (swan.ac.uk)
  • For the same range of Reynolds number (312-520), the flow behavior around the solid cylinder differs from the flow around the porous cylinders. (asme.org)
  • We study an imbibition problem for porous media. (tu-dortmund.de)
  • This study investigates the critical agents that cause non-Darrian flow in porous media. (tu-darmstadt.de)
  • Displacement of non-Newtonian fluid in porous media is of paramount importance in the flow modeling of oil reservoirs. (witpress.com)
  • In these phenomena, coupling of fluid-fluid or fluid-solid interactions leads to highly focused flow and deformation, which, on top of producing enchanting patterns also provide enhanced migration pathways for mass and heat and alter the mechanical and chemical state of these materials. (frontiersin.org)
  • that describe dual-platform technology, a method in which absolute counts are derived from measurements obtained from two instruments--a flow cytometer and hematology analyzer. (cdc.gov)
  • These papers will advance our scientific knowledge and thus our ability to tackle some of the most burning environmental challenges related to processes in which fluid flow patterning is key. (frontiersin.org)
  • Professors Gabriel Lord and Sebastian Geiger from Heriot-Watt University are leading a strong academic and industry partnership to develop a new UK wide research network, Porous Media - Processes and Materials. (hw.ac.uk)
  • Because of the need to provide short-term or real-time estimates of worker respirable dust exposure, porous foam may be a viable classification media for a low flow rate, disposable respirable dust sampler for use in the coal mining industry. (cdc.gov)
  • Transient flow of a slightly compressible fluid from horizontal isotropic reservoirs of constant thickness has been thoroughly studied for radial and linear systems. (onepetro.org)
  • Traditional flow issues in porous media often involve single-phase steady state flow, multi-well interference, oil-water two-phase flow, natural gas flow, elastic energy driven flow, oil-gas two-phase flow, and gas-water two-phase flow. (wikipedia.org)
  • Reverse iontophoresis generated by porous microneedles produces an electroosmotic flow for glucose determination. (bvsalud.org)