Numerical Simulations of Liquid Drop Dynamics in Porous Medium Using Adaptive Mesh

Ivantsov, Andrey; Lyubimova, Tatyana

doi:10.1109/ispras.2018.00021

Cited by 2 publications

(4 citation statements)

References 13 publications

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“…The conditions of refinement and coarsening were controlled at each ten time iterations. The present numerical algorithm is the modification of the code developed in our previous studies [9,10,11]. It was realized using Open-source library Paramesh [8] that allows to perform numerical simulations with adaptive mesh refinement.…”

Section: Methodsmentioning

confidence: 99%

“…The tree data structure provided by Paramesh describes the grid block and relationships between those blocks (see Fig. 2) [9]. In addition, Paramesh supports parallel computations with dynamic load balancing that allows dramatically decrease calculation time.…”

Section: Methodsmentioning

confidence: 99%

“…Poisson equation for the stream function was iterated implicitly using GMRES algorithm provided by Aztec library [9,10]. Aztec contains a number of parallel iterative solver for sparse matrix systems.…”

Section: Methodsmentioning

confidence: 99%

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Numerical modeling of solute convection in the system of two porous layers with different permeabilities

Ivantsov

Parshakova

2022

J. Phys.: Conf. Ser.

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The numerical simulation of the dynamics of a liquid with solute of high concentration in two horizontal layers of a porous medium with different permeability coefficients is carried out. The dynamics of the solute is modeled within the framework of a nonlinear MIM model that takes into account the adhesion and separation process at the skeleton of a porous medium. The modeling was carried out in a two-dimensional setting. The mobile (moving together with the carrier fluid) and immobile (deposited on the skeleton) phases are modeled by the finite volume method with adaptive mesh refinement algorithm. At each point in space, functions of volumetric saturation are set, and a kinematic equation is solved that describes the dynamics of adhesion and separation. The effective permeability of a porous medium depends on the saturation function of the immobile phase and is calculated using the Kozeny-Karman formula. The obtained numerical data are compared with the results of a linear analysis of stability, and the nonlinear regimes of concentration convection and the distribution of impurities at high supercriticalities are studied. In the case of high ratio of permeability coefficients of upper and lower layers, convection occurs locally in a more permeable sublayer, even with a decrease in its thickness. With an increase in supercriticality the penetration of the convective flow into the poorly permeable sublayer and the transition from local convection to large-scale convection are observed.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

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Numerical modeling of solute convection in the system of two porous layers with different permeabilities

Ivantsov

Parshakova

2022

J. Phys.: Conf. Ser.

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“…This is the standard diffusion equation, in which u r is the diffusion velocity [26,27]. It is an indicator to analyze the stability of capillary surface waves.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Simulation of Onset of the Capillary Surface Wave in the Ultrasonic Atomizer

Song

Cheng²,

Reddy

et al. 2021

Micromachines

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The novel drug delivery system refers to the formulations and technologies for transporting a pharmaceutical compound in the body as it is needed to safely achieve its desired therapeutic effects. In this study, the onset vibrational amplitude of capillary surface waves for ultrasonic atomization spray is explained based on Faraday instability. Using ultrasonic frequency, the vibrational amplitude approached a critical point, and the liquid surface broke up into tiny drops. The micro-droplets were are steadily and continuously formed after the liquid feeding rate was optimized. The simulation study reported a minimum vibrational amplitude or onset value of 0.38 μm at 500 kHz frequency. The required minimum energy to atomize the drops was simulated by COMSOL Multiphysics simulation software. The simulation result agreed well with the numerical results of a subharmonic vibrational model that ocurred at 250 kHz frequency on the liquid surface. This newly designed single frequency ultrasonic atomizer showed its true physical characteristic of resonance on the fluid surface plane. Hence, this research will contribute to the future development of a single-frequency ultrasonic nebulizer and mechatronics for the generation of uniform atomized droplets.

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Numerical Simulations of Liquid Drop Dynamics in Porous Medium Using Adaptive Mesh

Cited by 2 publications

References 13 publications

Numerical modeling of solute convection in the system of two porous layers with different permeabilities

Numerical modeling of solute convection in the system of two porous layers with different permeabilities

Simulation of Onset of the Capillary Surface Wave in the Ultrasonic Atomizer

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