## What is/are Isotropic Porous?

Isotropic Porous - In this paper, the effect of externally applied magnetic field on squeeze film lubrication between anisotropic porous and rough rectangular plate is studied.^{[1]}

## isotropic porous medium

The annular space is partially or completely filled with an isotropic porous medium.^{[1]}In this paper, we propose a method for reconstructing 3D greyscale isotropic porous media images from a single image.

^{[2]}The vegetation drag was represented by an anisotropic porous media calculated with the Darcy-Forchheimer model (Yamasaki et al.

^{[3]}The case of isotropic porous media is considered, and the model coefficients are provided for both two- and three-dimensional grains, for varying porosity.

^{[4]}We report and discuss, by means of pore-scale numerical simulations, the possibility of achieving a directional-dependent two-phase flow behaviour during the process of invasion of a viscous fluid into anisotropic porous media with controlled design.

^{[5]}By random growth method, this paper constructs isotropic porous media, anisotropic-1 porous media, and anisotropic-2 porous media, which have the same porosity but different micropore morphologies, and explores how the pore morphology affects the water vapor diffusion in the pores of porous media.

^{[6]}The proposed model is tested on both isotropic and anisotropic porous media.

^{[7]}Recently, heat transfer problems where anisotropic porous medium or stably stratified fluid are taken into account have been separately studied.

^{[8]}By modeling of a point heat source in isotropic or anisotropic porous media it is shown that a good agreement between TH and THM models can be maintained even though the assumptions underlying the simplification are no longer valid exactly.

^{[9]}We have considered a rotating horizontal anisotropic porous medium saturated with binary fluid.

^{[10]}The present study investigates the onset of Darcy–Bénard convection in a liquid-saturated anisotropic porous medium when phases are in local thermal non-equilibrium (LTNE) analytically.

^{[11]}The structure of a 3D permeability tensor with orthotropic properties is proposed to describe various heat and mass transfer processes in anisotropic porous media.

^{[12]}The traditional concept of the radius of influence is shown to be ill-posed and its unpredictability in practice intimately connected to the structural singularities of the anisotropic porous medium.

^{[13]}The nonlinear stability of thermohaline convection in a horizontal layer of an anisotropic porous medium saturated with an Oldroyd-B fluid is studied using a modified perturbation method.

^{[14]}We proposed a new method to model FD as heterogeneous and anisotropic porous medium whose properties were determined from local porosity.

^{[15]}Woven metal fibers with designable anisotropic characteristics exhibit evident advantages over isotropic porous media for improving the thermal performance of a latent heat storage unit.

^{[16]}The mathematical analysis of the experimental data is based on the general solution of the pressure equation derived for the steady-state flow equation for an anisotropic porous medium between two concentric cylinders.

^{[17]}The onset of convective motion in a fluid saturated anisotropic porous medium layer is examined analytically in the occurrence of the qualitative effect of the source of variable internal heat.

^{[18]}The process of cooking gari consists of a rotating rectangular cavity filled with grated cassava flour, pressed, retted and considered to be an anisotropic porous medium in a permeably saturated viscoelastic fluid.

^{[19]}In the context of regular wave interaction with thin porous structures and within an incompressible, two-phase Navier–Stokes and volume-of-fluid framework (based on interFoam of OpenFOAM®), this work investigates porosity representation as a porous surface with a pressure-jump condition and as volumetric isotropic and anisotropic porous media.

^{[20]}The effect of magnetic field dependent (MFD) viscosity on Soret driven ferrothermohaline convection in a densely packed anisotropic porous medium has been studied.

^{[21]}The screen is either normal or parallel to the applied pressure gradient which forces a flow through the anisotropic porous medium.

^{[22]}Numerical simulations are performed for the mixed convective transport in an inclined open arc-shaped channel filled by isotropic porous media using nanofluids.

^{[23]}The geometry is filled by glass balls as an isotropic porous medium.

^{[24]}We consider one-dimensional, two-phase, three-component (oil, carbon dioxide, and water) flow in a homogeneous and isotropic porous medium.

^{[25]}In this study, a numerical model is proposed to investigate the front motion of water permeation into an anisotropic porous medium.

^{[26]}Numerical simulations are used here to analyze the Rayleigh-Taylor instability in confined and isotropic porous media.

^{[27]}Keywords: Natural convection, anisotropic porous medium, inversion of density.

^{[28]}156 m/sec); there was an obvious seepage effect in the pit; the waterrich gravel stratum had greater seepage water inflow than any other stratum; the pore water migration features could be described accurately by the seepage control equation of the heterogeneous anisotropic porous medium.

^{[29]}We consider a degenerate parabolic system modelling the flow of fresh and saltwater in an anisotropic porous medium in the context of seawater intrusion.

^{[30]}The porous medium is assumed to be an anisotropic porous medium and described using Darcy’s model.

^{[31]}The channel also contains a homogenous, isotropic porous medium which is simulated with a modified Darcy model.

^{[32]}Assuming a homogenous-isotropic porous medium, simulation of bulk drag effects at low Reynolds number is conducted with the Darcy model.

^{[33]}Such a concept has not been investigated in an anisotropic porous medium.

^{[34]}As an example, we consider a porous material similar in geometrical characteristics to a typical food product with a homogeneous and isotropic porous medium similar to starch, finely divided food additives, and flour.

^{[35]}In the last 20 years many discretization schemes have been developed to approximate the Darcy fluxes on polyhedral cells in heterogeneous anisotropic porous media.

^{[36]}The present study deals with the linear stability of an anisotropic porous medium in rotation, saturated by a non-Newtonian fluid in a rectangular cavity heated on the side, subjected to the effect of the centrifugal force.

^{[37]}This work deals with modelling and numerical simulation of complete evaporation process inside anisotropic porous media.

^{[38]}For an anisotropic porous medium equation with L 1 regular lower order terms we prove the local boundedness and continuity of weak solutions in terms of the linear Riesz potential of the right-hand side of equation.

^{[39]}We develop a computational model that consists of a network of straight cylindrical vessels and an isotropic porous media with a uniformly distributed sink term acting as the lymphatic system.

^{[40]}This paper investigates the steady-state elastoplastic fields induced by a pressurized cylindrical cavity expanding dynamically in an anisotropic porous medium.

^{[41]}Fluid flow in isotropic porous media with one porosity scale is a well understood process and a common scenario in numerous simulations published in the literature.

^{[42]}A new well model for one-phase flow in anisotropic porous media is introduced, where the mass exchange between well and a porous medium is modeled by spatially distributed source terms over a small neighborhood region.

^{[43]}In this paper, numerical investigations for magnetohydrodynamic natural convection from two heating systems inside fined triangular enclosures filled with an isotropic porous medium using the nanofluids are performed.

^{[44]}The constitutive relations of the model are derived within the framework of the linear theory of thermo-poroelasticity under the assumptions that the rock mass is layered linear isotropic porous media that undergoes small deformation.

^{[45]}In this work we consider the flow of non-Newtonian pseudoplastic fluids in homogeneous isotropic porous media.

^{[46]}Turbulent fluid flow, heat transfer and entropy generation through isotropic porous media were investigated utilizing two RANS models, i.

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## isotropic porous structure

X-Ray microtomography images revealed isotropic porous structure with optimum porosity for cell ingrowth.^{[1]}The DW well-preserved the distinctive anisotropic porous structure and prevented the leakage problem of PEG.

^{[2]}Moreover, the unique anisotropic porous structure provided high stiffness and good flexibility to the adsorbent in the axial and radial directions, respectively.

^{[3]}Equations governing the flow of a fluid with pressure-dependent viscosity through an isotropic porous structure are derived using the method of intrinsic volume averaging.

^{[4]}To create model porous structures, we used our image generator, which implements the function of anisotropic porous structures generation.

^{[5]}Compression testing of the HAP/CNCs foams indicated that DF caused significant improvement in mechanical properties due to the specific orientation and anisotropic porous structure compared to conventional freezing methods such as PL and FZ.

^{[6]}The anisotropic mechanical and thermal conduction properties of ATs in parallel and perpendicular to ice-crystal growth directions were demonstrated, which was related to the anisotropic porous structures of ATs due to the difference of main and secondary skeleton structures forming in unidirectional freeze.

^{[7]}In this study, we report a high-strength, three-dimensional hydrophobic cellulose nanofiber (CNF)/polyvinyl alcohol (PVA)/graphene oxide (GO) composite aerogel with an anisotropic porous structure, which was fabricated by directional freeze-drying technology using anisotropically grown ice crystals as a template, followed by hydrophobic treatment with a simple dip coating process.

^{[8]}The anisotropic porous structure in CTA films, which was prepared by thermoinduced phase separation, generated extraordinary wavelength dispersion of birefringence.

^{[9]}An important result from the present work is that initially anisotropic porous structures become more isotropic as the fiber phase becomes more conductive.

^{[10]}The anisotropic porous structure of sinter leads to different heat conduction and complicated temperature field in three spatial directions.

^{[11]}

## isotropic porous material

Starting from this longstanding, albeit qualitative result, this work investigates quantitatively the relevance of using two-point correlations to model the effective elastic properties of specific isotropic porous materials with and without connectivity.^{[1]}New methods for non-destructive testing of diffusion coefficient in thin-sheet and massive products made of isotropic and anisotropic porous materials are considered.

^{[2]}Constructed are mathematical models of nonisothermal moisture transfer in anisotropic porous materials taking into account the motion of phase transition boundary.

^{[3]}Given that many porous materials can be modeled as equivalent fluids, the results presented show the potential offered by such numerical techniques, and can further give more insight into inhomogeneous anisotropic porous materials.

^{[4]}Then, a computational scheme to evaluate the effective moduli of macroscopically isotropic porous materials based on their micro-mechanics is introduced.

^{[5]}

## isotropic porous layer

In this work, the acoustic properties of the metaporous surface are controlled by simple geometric parameters defining both the anisotropic porous layer and the shapes of the resonators.^{[1]}The penetrative ferrothermal convection (FTC) in a ferrofluid (FF) saturated high porosity anisotropic porous layer via uniform internal heating is investigated.

^{[2]}A necessary and sufficient condition for the onset of convection in a rotating anisotropic porous layer has been obtained.

^{[3]}In this paper, we analyze the effect of internal heating and the Soret effect on linear and nonlinear double diffusive convection in a couple stress fluid saturated anisotropic porous layer, heated and salted from below.

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## isotropic porous solid

This paper investigates the propagation of thermoelastic waves in a homogeneous, linear, and isotropic porous solid.^{[1]}The obtained experimental data have confirmed the possibility of using an integral turbulence model to calculate the parameters of the anisotropic porous solid model, used in CFD codes simulating thermal-hydraulic processes in the active zones of nuclear reactors and heat exchangers.

^{[2]}Experiments reveal that the proposed isotropic random closed-cell porous materials have bulk and shear moduli that lie very close to the theoretical Hashin-Shtrikman upper bounds for an isotropic porous solid.

^{[3]}

## isotropic porous liquid

More recently, organic cages were used to form isotropic porous liquids.^{[1]}Overall we demonstrate the synthesis of an anisotropic porous liquid which not only sequesters CO2 but also has the ability to flow like a liquid.

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