Numerical modelling of multiphase immiscible flow in double‐porosity featured groundwater systems

Ngien, Su Kong; Rahman, Norhan Abd; Lewis, R. W.; Ahmad, Khursheed

doi:10.1002/nag.1055

Cited by 12 publications

(10 citation statements)

References 39 publications

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“…A key advantage of the double porosity concept is its capability to handle extremely localized and concentrated flows with relatively simple and homogenized parameters that could otherwise be very complicated to describe, let alone, quantify. Since first proposed in Barenblatt et al [9], the concept of double porosity has been used extensively for describing fluid flow in fissured/fractured rocks (e.g., [6,23,34,38,55,63,69,80]) and in aggregated soils (e.g., [21,22,72,92]). Several studies have validated the double porosity framework through homogenization theory [3], laboratory experiments [57,58], and flow inversion problems [50,83].…”

Section: Introductionmentioning

confidence: 99%

Stabilized mixed finite elements for deformable porous media with double porosity

Choo

Borja

2015

Computer Methods in Applied Mechanics and Engineering

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Natural geomaterials such as fissured rocks and aggregated soils often exhibit a pore size distribution with two dominant pore scales, usually termed macropores and micropores. High-fidelity descriptions of these materials require an explicit treatment of the two pore regions as double porosity. In this paper, we present stabilized mixed finite elements for coupled flow and deformation in porous media with double porosity based on a thermodynamically consistent modeling framework. Mixed finite elements that interpolate the solid displacement and pore pressures in the macropores and micropores are used for this purpose. In the limit of undrained deformation, the two pore pressures become incompressibility constraints that cause an inf-sup instability in the form of spurious oscillation at the two pore scales. To circumvent this instability we develop a variant of the polynomial pressure projection technique for a twofold saddle point problem. The proposed stabilization allows the use of equal-order (linear) interpolations of the displacement and two pore pressure variables throughout the entire range of drainage condition.

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Section: Introductionmentioning

confidence: 99%

Stabilized mixed finite elements for deformable porous media with double porosity

Choo

Borja

2015

Computer Methods in Applied Mechanics and Engineering

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“…In recent years, numerical studies on HMT of porous bodies and food processing have taken an important place in literature because of their feasibility and lower costs than experimental studies, and with the rapid progress of computer programs and simulations, numerical studies have begun to obtain more accurate and precise results. computational fluid dynamics (CFD) codes generally use common numerical methods, such as Finite Element Method (FEM) (Lewis et al , 1974; Lewis and Ferguson, 1993; Zhou et al , 1995; Malan and Lewis, 2011; Ngien et al , 2012; Selimefendigil et al , 2021; Badruddin et al , 2017), Finite Volume Method (Skuratovsky and Levy, 2004; Lamnatou et al , 2010; Ljung et al , 2011; Ngien et al , 2012), Lattice Boltzmann Method (Bamiro and Liou, 2014; Luo and Xu, 2019; Zachariah et al , 2019; Korba et al , 2020) and other approaches(Saberian et al , 2014; Wang et al , 2017; Chen et al , 2021). Studies on drying kinetics generally examine two main effects, internal effects and external effects.…”

Section: Introductionmentioning

confidence: 99%

Convective drying performance of porous moist objects under turbulent flow conditions: effects of object shape and material

Çoban

Selimefendigil

Öztop

2021

HFF

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Purpose The purpose of this paper is to examine the coupled heat and mass transport of different shaped porous moist objects in a rectangular channel under the effects of convective drying. Numerical simulations were performed under turbulent conditions for cylindrical, triangular and rectangular shaped different food products in a two-dimensional channel. Design/methodology/approach Finite element method was used for the unsteady problem and, effects of drying air velocity (AV) and temperature on transport mechanism were evaluated. Three different food materials were used for the circular shaped object and drying performance of the products under different conditions was compared. Findings Results showed that, changing the air temperature has an important effect on drying for all shaped objects and all materials. The same effect was seen for the AV as, increasing the velocity had positive effects on drying. Two identical objects were placed in the channel one behind the other, and this configuration showed that location of the object in the channel is also important for drying. The moisture content in the object at the front is lower than in the object behind at the end of drying. Originality/value This paper can provide technical support to optimize drying performance in the industry with comprehensive data for the process.

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“…A numerical model describing the flow of multiphase, immiscible fluids in a deformable, double‐porosity featured soil has been developed by Ngien et al (2012). Their model was focused on the modeling of the secondary porosity features in soil, which was more relevant to groundwater contamination problems.…”

Section: Introductionmentioning

confidence: 99%

Linear stability analysis of non-Newtonian blood flow with magnetic nanoparticles: application to controlled drug delivery

Kapen

Ketchate

Tchuen

2021

HFF

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Purpose For this purpose, a linear stability analysis based on the Navier–Stokes and Maxwell equations is made leading to an eigenvalue differential equation of the modified Orr–Sommerfeld type which is solved numerically by the spectral collocation method based on Chebyshev polynomials. Unlike previous studies, blood is considered as a non-Newtonian fluid. The effects of various parameters such as volume fraction of nanoparticles, Casson parameter, Darcy number, Hartmann number on flow stability were examined and presented. This paper aims to investigate a linear stability analysis of non-Newtonian blood flow with magnetic nanoparticles with an application to controlled drug delivery. Design/methodology/approach Targeted delivery of therapeutic agents such as stem cells and drugs using magnetic nanoparticles with the help of external magnetic fields is an emerging treatment modality for many diseases. To this end, controlling the movement of nanoparticles in the human body is of great importance. This study investigates controlled drug delivery by using magnetic nanoparticles in a porous artery under the influence of a magnetic field. Findings It was found the following: the Casson parameter affects the stability of the flow by amplifying the amplitude of the disturbance which reflects its destabilizing effect. It emerges from this study that the taking into account of the non-Newtonian character is essential in the modeling of such a system, and that the results can be very different from those obtained by supposing that the blood is a Newtonian fluid. The presence of iron oxide nanoparticles in the blood increases the inertia of the fluid, which dampens the disturbances. The Strouhal number has a stabilizing effect on the flow which makes it possible to say that the oscillating circulation mechanisms dampen the disturbances. The Darcy number affects the stability of the flow and has a stabilizing effect, which makes it possible to increase the contact surface between the nanoparticles and the fluid allowing very high heat transfer rates to be obtained. It also emerges from this study that the presence of the porosity prevents the sedimentation of the nanoparticles. By studying the effect of the magnetic field on the stability of the flow, it is observed that the Hartmann number keeps the flow completely stable. This allows saying that the magnetic field makes the dissipations very important because the kinetic energy of the electrically conductive ferrofluid is absorbed by the Lorentz force. Originality/value The originality of this paper resides on the application of the linear stability analysis for controlled drug delivery.

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Numerical modelling of multiphase immiscible flow in double‐porosity featured groundwater systems

Cited by 12 publications

References 39 publications

Stabilized mixed finite elements for deformable porous media with double porosity

Stabilized mixed finite elements for deformable porous media with double porosity

Convective drying performance of porous moist objects under turbulent flow conditions: effects of object shape and material

Linear stability analysis of non-Newtonian blood flow with magnetic nanoparticles: application to controlled drug delivery

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