Ferrofluid Permeation into Three-Dimensional Random Porous Media: A Numerical Study Using the Lattice Boltzmann Method

Hadavand, Mahshid; Nabovati, Aydin; Sousa, António C.M.

doi:10.1007/s11242-013-0185-3

Cited by 8 publications

(4 citation statements)

References 35 publications

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Section: Introductionmentioning

confidence: 99%

“…They pointed out that this method is more suitable for the two-phase flow process of magnetic fluid flooding. Similarly, Hadavand et al 22 studied the flow process of the magnetic fluid in porous media at the microscopic scale, where the detailed information for the magnetic fluid displacing the original liquid phase is revealed. Although a plethora of work has been done on the flow of the magnetic fluid inside the porous media, there is still a lack of comprehensive studies on the oil displacement process by the magnetic fluid.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Oil Displacement by the Magnetic Fluid Inside a Cylindrical Sand-Filled Sample: Experiments and Numerical Simulations

et al. 2022

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Magnetic fluid is a new type of smart material, which holds implications for highly enhancing the oil displacement efficiency. In the present study, we perform a comprehensive investigation to probe the influence of a magnetic fluid on the displacement efficiency in porous media under the action of magnetic force. First, the displacement efficiency is measured by a self-developed setup, where factors such as the magnet thicknesses, the volume of the fluid injected, the fluid injection speed, and the porosity of the sample are surveyed as controllable variables. Moreover, the experimental results are well verified by the scaling laws according to the principle of dimensional balance. Next, a numerical simulation is performed to explore the detailed displacement process. First, the magnetic force generated by the ring magnet is calculated. Then, the function curves of the displacement efficiency with respect to the controlling variables are validated by the numerical simulation. In addition, the numerical simulation also demonstrates the volume phase distribution, the pressure field, and the velocity field of the mixed fluid during the displacement process. The simulation results are in excellent agreement with the experimental data. These findings are beneficial for us to better understand the oil displacement with the aid of external fields, which also provide inspiration for the areas of microfluidics, diffusion of pollutants, microsensors, etc.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Oil Displacement by the Magnetic Fluid Inside a Cylindrical Sand-Filled Sample: Experiments and Numerical Simulations

et al. 2022

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“…In these simulations, explicit scatterers for fluid motion are placed at fixed locations within the simulation cell. Using this method, ferrofluid permeation into a randomly structured porous medium has been simulated and shown to be sensitive to an applied magnetic field [21]. As an alternative simulation approach, an extension of the highly versatile multi-particle collision dynamics method (MPC) [22] to transport in porous media has been proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Note that the Lattice Boltzmann methods put forward in Refs. [20,21] resolve the detailed fluid dynamics in the vicinity of individual grain boundaries. On the other hand, the MPC modelling proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Ilg

2022

Phys. Rev. E

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Ferrofluid flow is fascinating since their fluid properties can conveniently be manipulated by external magnetic fields. Novel applications in micro-and nanofluidics as well as in biomedicine have renewed the interest in the flow of colloidal magnetic nanoparticles with a focus on small-scale behavior. Traditional flow simulations of ferrofluids, however, often use simplified constitutive models and do not include fluctuations that are relevant at small scales. Here, we address these challenges by proposing a hybrid scheme that combines the multi-particle collision dynamics method for modelling hydrodynamics with Brownian Dynamics simulations of a reliable kinetic model describing the microstructure, magnetization dynamics and resulting stresses. Since both, multi-particle collision dynamics and Brownian Dynamics are mesoscopic methods that naturally include fluctuations, this hybrid scheme presents a promising alternative to more traditional approaches, also because of the flexibility to model different geometries and modifying the constitutive model. The scheme was tested in several ways. Poiseuille flow was simulated for various model parameters and effective viscosities were determined from the resulting flow profiles. The effective, field-dependent viscosities are found to be in very good agreement with theoretical predictions. We also study Stokes' second flow problem for ferrofluids. For weak amplitudes and low frequencies of the oscillating plate, we find that the velocity profiles are well described by the result for Newtonian fluids at the corresponding, field-dependent viscosity. Furthermore, the time-dependent profiles of the nonequilibrum magnetization component are well approximated by their steady-state values in stationary shear, when evaluated with the instantaneous local shear rate. Finally, we also apply the new scheme to simulate ferrofluid shear flow over rough surface. We find characteristic differences in the nonequilibrium magnetization components when the external field is oriented in flow and in gradient direction.

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Magneto-Permeability Effect in Ferrofluid Flow Through Porous Media Studied via Multiparticle Collision Dynamics

Ilg

2024

Transp Porous Med

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As more and more promising applications of magnetic nanoparticles in complicated environments are explored, their flow properties in porous media are of increasing interest. We here propose a hybrid approach based on the multiparticle collision dynamics method extended to porous media via friction forces and coupled with Brownian dynamics simulations of the rotational motion of magnetic nanoparticles’ magnetic moment. We simulate flow in planar channels homogeneously filled with a porous medium and verify our implementation by reproducing the analytical velocity profile of the Darcy–Brinkman model in the non-magnetic case. In the presence of an externally applied magnetic field, the non-equilibrium magnetization and friction forces lead to field-dependent velocity profiles that result in effective, field-dependent permeabilities. We provide a theoretical expression for this magneto-permeability effect in analogy with the magneto-viscous effect. Finally, we study the flow through planar channels, where only the walls are covered with a porous medium. We find a smooth crossover from the Poiseuille profile in the center of the channel to Brinkman–Darcy flow in the porous layers. We propose a simple estimate of the thickness of the porous layer based on the flow rate and maximum flow velocity.

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Ferrofluid Permeation into Three-Dimensional Random Porous Media: A Numerical Study Using the Lattice Boltzmann Method

Cited by 8 publications

References 35 publications

Oil Displacement by the Magnetic Fluid Inside a Cylindrical Sand-Filled Sample: Experiments and Numerical Simulations

Oil Displacement by the Magnetic Fluid Inside a Cylindrical Sand-Filled Sample: Experiments and Numerical Simulations

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Magneto-Permeability Effect in Ferrofluid Flow Through Porous Media Studied via Multiparticle Collision Dynamics

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