On Maxwell–Stefan diffusion in Smoothed Particle Hydrodynamics

Hirschler, Manuel; Säckel, Winfried; Nieken, Ulrich

doi:10.1016/j.ijheatmasstransfer.2016.07.061

Cited by 15 publications

(3 citation statements)

References 28 publications

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“…When cross-diffusion is more prominent, like in gaseous mixtures, the Maxwell-Stefan diffusion model is more appropriate [1]. It turned out that cross-diffusion models of Maxwell-Stefan kind can be used as a starting point for diverse applications, ranging from engineering [2] to medicine [3], and they also inspired new approaches to diffusion phenomena [4].…”

Section: Introductionmentioning

confidence: 99%

Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model

Anwasia¹,

Simić²

2021

Preprint

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Section: Introductionmentioning

confidence: 99%

Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model

Anwasia¹,

Simić²

2021

Preprint

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“…The advantage of particle-based methods is inherited in their Lagrangian particle-based nature that makes them suitable for problems with moving boundaries such as multi-phase flows and fluid-solid interactions. Within the scope of particle-based methods, there are studies that discussed the diffusion of species in fluid flow (Mayoral-Villa et al, 2016;Rezavand et al, 2019;Hirschler et al, 2016), but to the best of the authors' knowledge, the dissolution process of dispersed particles into fluid flow is not well investigated.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of dissolution of solid particles in fluid flow using the SPH method

Rahmat

Barigou

Alexiadis

2019

HFF

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Purpose The purpose of this paper is to numerically study the dissolution of solid particles using the smoothed particle hydrodynamics (SPH) method. Design/methodology/approach To implement dissolution, an advection–diffusion mass transport equation is solved over computational particles. Subsequently, these particles disintegrate from the solute when their concentration falls below a certain threshold. Findings It is shown that the implementation of dissolution is in good agreement with available data in the literature. The dissolution of solid particles is studied for a wide range of Reynolds and Schmidt numbers. Two-dimensional (2D) results are compared with three-dimensional (3D) cases to identify where 2D results are accurate for modelling 3D dissolution phenomena. Originality/value The present numerical model is capable of addressing related problems in pharmaceutical, biochemical, food processing and detergent industries.

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“…With the development of computer technology and scientific computing, this approach has become more popular in solving the MS theory based continuum equations. Actually, some numerical methods, including the finite-difference method [18,19], finite-volume method [20][21][22][23][24][25], finite-element method [26][27][28] and smoothed particle hydrodynamics method [29], have been developed to solve MS theory based continuum equations.…”

Section: Introductionmentioning

confidence: 99%

Maxwell-Stefan-theory-based lattice Boltzmann model for diffusion in multicomponent mixtures

et al. 2019

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The phenomena of diffusion in multicomponent (more than two components) mixtures are very universal in both science and engineering, and from mathematical point of view, they are usually described by the Maxwell-Stefan (MS) based continuum equations. In this paper, we propose a multiple-relaxation-time lattice Boltzmann (LB) model for the mass diffusion in multicomponent mixtures, and also perform a Chapman-Enskog analysis to show that the MS based continuum equations can be correctly recovered from the developed LB model. In addition, considering the fact that the MS based continuum equations are just a diffusion type of partial differential equations, we can also adopt much simpler lattice structures to reduce the computational cost of present LB model. We then conduct some simulations to test this model, and find that the results are in good agreement with some available works. Besides, the reverse diffusion, osmotic diffusion and diffusion barrier phenomena are also captured. Finally, compared to the kinetic theory based LB models for multicomponent gas diffusion, the present model does not include any complicated interpolations, and its collision process can be still implemented locally. Therefore, the advantages of single-component LB method can also be preserved in present LB model.

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On Maxwell–Stefan diffusion in Smoothed Particle Hydrodynamics

Cited by 15 publications

References 28 publications

Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model

Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model

Numerical simulation of dissolution of solid particles in fluid flow using the SPH method

Maxwell-Stefan-theory-based lattice Boltzmann model for diffusion in multicomponent mixtures

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