Sediment–Water Interface Flow with the Multiparticle Collision Dynamics

Matyka, Maciej

doi:10.1007/s11242-017-0944-7

Cited by 4 publications

(9 citation statements)

References 17 publications

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“…( 4) we find from our simulations r ∼ α 1/2 . Note that this relation was also confirmed in Lattice Boltzmann simulations [20], while an earlier MPC implementation [23] recovered this relation only over a rather limited interval of ξ.…”

Section: Channel Flowsupporting

confidence: 55%

“…Eqs ( 5) -( 9) describe the MPC model of non-magnetic fluid flow through porous media. This model has essentially been proposed in Ref [23], where instead of adding the friction force ( 9), particle velocities are rescaled by a factor (1 − ξ∆t/m).…”

Section: Mesoscopic Level: Particle-based Modelmentioning

confidence: 99%

“…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. [23] for non-magnetic fluids. In the latter, the effect of porous media on fluid transport is simply modelled as local damping, leading to very efficient simulation methods.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, the MPC modelling proposed in Ref. [23] is suitable for a more coarsegrained level of description where the porous medium can be considered to be locally homogeneous.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Channel Flowsupporting

confidence: 55%

Section: Mesoscopic Level: Particle-based Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…On the other hand, the MPC modelling proposed in Ref. [23] is suitable for a more coarsegrained level of description where the porous medium can be considered to be locally homogeneous.…”

Section: Introductionmentioning

confidence: 99%

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Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Ilg

2022

Phys. Rev. E

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“…Although some innovative methods are proposed for studying the diffusional dynamics of the fluid droplet (as a model of landfill leachate) through the porous medium [2,25], still one of the major approaches in investigating the possibility of environmental pollution due to the release of pollutants is solving the mathematical equation of diffusion [26]. In addition to the environmental studies, such equations have wide applications in the study of various phenomena in chemical sciences, fluid mechanics, biophysics, and even the field of diagnosis and treatment [7,8,[27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation

Bavi

Hosseininia

Heydari

2023

Math Methods in App Sciences

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Continued mortality from Covid‐19 disease and environmental considerations resulting from the cemetery, landfill, wastewater treatment plants, and mass personal protective equipment (PPE) disposal sites demonstrate the importance of carefully studying how microorganisms spread in and across the soil, surface water, and groundwater. In this research, fractional diffusion equation for different functions has been solved using fractional derivative form with variable‐order (VO) to predict the diffusion of the SARS‐CoV‐2 virus. Comparison of the obtained results with the available experimental data and mathematical calculations shows that the use of VO form can predict the viral behavior more accurately. The main advantage of considering a VO fractional derivatives instead of a constant‐order fractional derivative or classical derivative is accurately predicting the behavior of propagation of microorganisms over large time and dimensional scales. In addition, to the specified SARS‐CoV‐2 virus, the method presented in this study will be able to investigate the diffusion pattern of all environmental pollutants at the nanoscale/microscale, including carcinogenic compounds, such as biogenic amines in aqueous and porous media. The obtained results manifest a high accuracy of mathematical approach which provides helpful information to urban and health planners/managers worldwide to manage other possible outbreaks.

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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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Sediment–Water Interface Flow with the Multiparticle Collision Dynamics

Cited by 4 publications

References 17 publications

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation

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

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