Simulation of a liquid drop on a vibrating hydrophobic surface

Chernova, A. A.; Kopysov, S.P.; Tonkov, L.E.

doi:10.1088/1757-899x/158/1/012026

Cited by 5 publications

(5 citation statements)

References 12 publications

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“…The mixing at f3 and f4 seems to be driven by similar vorticity inside the GB-MBR: two vortices are formed, leading to mixing inside the GB-MBR. Similar vortices are described in other works investigating internal flow patterns induced by surface waves on droplets [14,15,16,17,40,41]. Looking at f2, no clear vortex pattern can be identified but due to similar mixing times, it is assumed that also vortices drive the mixing.…”

Section: Resultssupporting

confidence: 73%

Resonant Mixing in Glass Bowl Microbioreactor Investigated by Microparticle Image Velocimetry

et al. 2019

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Microbioreactors are gaining increased interest in biopharmaceutical research. Due to their decreasing size, the parallelization of multiple reactors allows for simultaneous experiments. This enables the generation of high amounts of valuable data with minimal consumption of precious pharmaceutical substances. However, in bioreactors of all scales, fast mixing represents a crucial condition. Efficient transportation of nutrients to the cells ensures good growing conditions, homogeneous environmental conditions for all cultivated cells, and therefore reproducible and valid data. For these reasons, a new type of batch microbioreactor was developed in which any moving mixer component is rendered obsolete through the utilization of capillary surface waves for homogenization. The bioreactor was fabricated in photosensitive glass and its fluid volume of up to 8 µL was provided within a bowl-shaped volume. External mechanical actuators excited capillary surface waves and stereo microparticle image velocimetry (µPIV) was used to analyze resulting convection at different excitation conditions in varied reactor geometries. Typical vortex patterns were observed at certain resonance frequencies where best mixing conditions occurred. Based on the results, a simplified 1D model which predicts resonance frequencies was evaluated. Cultivation of Escherichia coli BL21 under various mixing conditions showed that mixing in resonance increased the biomass growth rate, led to high biomass concentrations, and provided favorable growth conditions. Since glass slides containing multiple bowl reactors can be excited as a whole, massive parallelization is foreseen.

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Section: Resultssupporting

confidence: 73%

Resonant Mixing in Glass Bowl Microbioreactor Investigated by Microparticle Image Velocimetry

et al. 2019

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“…Studies [13,14] describe the detailed process of this equation system solution. The cartesian grid consists of 364,140 hexagons and has axial and radial refinement.…”

Section: Methods and Algorithmsmentioning

confidence: 99%

“…The cartesian grid consists of 364,140 hexagons and has axial and radial refinement. Studis [13,14] study the liquid droplet oscillation process on a substrate vibrating at low frequencies corresponding to low (second and fourth) oscillation modes. Let's consider that solution of the liquid oscillation at frequency corresponding to high (6 and 8) oscillation modes require correction of Ĭ R and Ĭ A , in respect to similar constants determined for low modes of liquid oscillations.…”

Section: Methods and Algorithmsmentioning

confidence: 99%

Generation and development of surface waves on the interface boundary of viscous fluid oscillating drop

Tonkov¹,

Chernova²

2017

MATEC Web Conf.

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Abstract. Numerical experimental methods for surface waves' generation and development processes associated with oscillations of small liquid droplet on a solid surface vibrating at a frequency close to 1 kHz are used. Internal flows formed inside the droplet are characterized by vivid threedimensionality, complex topology, are determined by the contact angle and surface waves propagation. Interaction processes are analysed. The achieved results are compared with the experimental ones.

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“…It is necessary to consider the dynamic change of the contact angle in order to perform a correct numerical simulation of the internal flow of the droplet [32]. Based on experimental studies, the dynamic contact angle is related to the movement of the contact line, the physical properties of the droplet, and the static contact angle.…”

Section: Dynamic Contact Angle Modelmentioning

confidence: 99%

Modeling Internal Flow Patterns of Sessile Droplets on Horizontally Vibrating Substrates

Shan,

Yin

2024

Processes

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A three-dimensional Navier–Stokes and continuity equation model is employed to numerically predict the resonant modes of sessile droplets on horizontally vibrating substrates. A dynamic contact angle model is implemented to simulate the contact angle variations during vibrations. The four resonant modes (n = 1, 2, 3 and 4) of a droplet under horizontal vibrations are investigated. Simulations are compared to experimental results for validation. Excellent agreement is observed between predicted results and experiments. The model is used to simulate the internal flow patterns within the droplet under resonant modes. It is found that the flow in all four resonant modes can be divided into the Stokes region, the gas–liquid interface region, and the transition region located in between. Numerical simulations show that the average velocity within the droplet increases with the increase in frequency, while the fluctuations in average velocity after reaching the steady state show different trends with the increase in frequency. It is also found that with an increase in the order of resonant modes, the contact angle difference between the two sides of the droplet increases, and the contact angle difference of the droplet is maximized when the applied frequency is the resonant frequency of the specified mode.

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Simulation of a liquid drop on a vibrating hydrophobic surface

Cited by 5 publications

References 12 publications

Resonant Mixing in Glass Bowl Microbioreactor Investigated by Microparticle Image Velocimetry

Resonant Mixing in Glass Bowl Microbioreactor Investigated by Microparticle Image Velocimetry

Generation and development of surface waves on the interface boundary of viscous fluid oscillating drop

Modeling Internal Flow Patterns of Sessile Droplets on Horizontally Vibrating Substrates

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