Stochastic population balance methods for detailed modelling of flame-made aerosol particles

Boje, Astrid; Kraft, Markus

doi:10.1016/j.jaerosci.2021.105895

Cited by 11 publications

(2 citation statements)

References 237 publications

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“…At the same time, spatially inhomogeneous models of aggregation require elaboration of efficient numerical methods. It is worth to say that even investigation of the uniform systems may demand really challenging calculations and numerical tools evolve rapidly [24,25]. Nowadays, there are only a few works with results of numerical simulations of spatially non-uniform aggregation [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Aggregation in non-uniform systems with advection and localized source

Zagidullin¹,

Смирнов²,

Matveev³

et al. 2022

J. Phys. A: Math. Theor.

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We explore analytically and numerically agglomeration driven by advection and localized source. The system is inhomogeneous in one dimension, viz. along the direction of advection. It is characterised by the kinetic coeﬃcients – the advection velocity, diﬀusion coeﬃcient and the reaction kernel, quantifying the aggregation rates. We analyze a simpliﬁed model with mass-independent advection velocity, diﬀusion coeﬃcient, and reaction rates. We also examine a model with mass-dependent coeﬃcients arising in the context of aggregation with sedimentation. For the quasi-stationary case and simpliﬁed model, we obtain an exact solution for the spatially dependent agglomerate densities. For the case of mass dependent coeﬃcients we report a new conservation law and develop a scaling theory for the densities. For the numerical eﬃciency we exploit the low-rank approximation technique; this dramatically increases the computational speed and allows simulations of very large systems. The numerical results are in excellent agreement with the predictions of our theory.

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Section: Introductionmentioning

confidence: 99%

Aggregation in non-uniform systems with advection and localized source

Zagidullin¹,

Смирнов²,

Matveev³

et al. 2022

J. Phys. A: Math. Theor.

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“…In addition to water droplets, condensation nuclei also affect materials radiation properties. [9][10][11][12][13][14][15][16][17] These nuclei are generally from soil lifted by the wind, volcanic eruptions, and pollution. [18][19][20][21] The different sizes and compositions of dust particles affect water droplet formation, nucleation rate, and water droplet size.…”

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confidence: 99%

Dust-Induced Regulation of Thermal Radiation in Water Droplets

Zhang

et al. 2023

Chinese Phys. Lett.

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Accurate and fast prediction of the thermal radiation properties of materials is crucial for their potential applications. However, some models assume that the media are made up of pure water droplets, which do not account for the increasing deviations caused by volcanic eruptions, pollution, and human activities that exacerbate dust production. The distinct radiation properties of water and dust particles make it challenging to determine the thermal radiation properties of water droplets containing dust particles. To address this issue, we investigate the influence of dust particles on light transmission and energy distribution in water droplets using the multiple sphere T-matrix method. By considering different droplet and dust diameters, volume fractions, and position distributions, we analyze how extinction regulation is achieved in dust-containing water droplets. Our results reveal the significant role of dust particles in the thermal radiation effect and provide insights into the electromagnetic properties of colloidal suspensions. Moreover, the dustinduced reestablishment of energy balance raises concerns about environmental management and climate change. This research highlights the importance of accounting for dust particles in atmospheric models and their potential impact on radiative balance.

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