Stokes versus Basset: comparison of forces governing motion of small bodies with high acceleration

Krafčík, Andrej; Babinec, Peter; Frollo, Ivan

doi:10.1088/1361-6404/aaabc7

Cited by 9 publications

(4 citation statements)

References 20 publications

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“…As shown in figure 5, when the particle is close to the collector centre, the capillary force F C and the drag force F D are the dominant forces, the Basset force F B takes the third place, and the resultant of force by the pressure gradient and the added mass force by liquid flow F PA is the smallest force, which is negligible as compared with the former three forces. The large value of F C reached is rational owing to the decreasing distance between the particle and the collector; F D is large owing to the large velocity difference between the fluid and the particle caused by the large capillary force; and the observed order of importance F D > F B > F PA is similar to that of Krafcik et al [47]. When the particle is far away from the collector, the capillary force effect is very weak, the particle follows the streamline (a typical particle motion at low Stokes numbers [34]) and the drag force is little.…”

Section: Resultssupporting

confidence: 72%

Enhanced interfacial capture with an elliptical cylinder

Tan,

Zhang,

Zhang

et al. 2024

Proc. R. Soc. A.

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Interfacial capture of particles and droplets is important in practical applications. Interfacial capture owing to the surface tension force occurs only when the target (particle or droplet) is close to the collector, leading to low efficiency with collector or collector arrays. An elliptical cylinder instead of a common circular cylinder is a method to enhance capture efficiency. We theoretically investigate this situation by modelling the motion of floating particles around a surface-piercing elliptical cylindrical collector at Reynolds numbers of 1–10. Results indicate that, despite a smaller capture width, elliptical cross-sections, especially with smaller aspect ratios, are more efficient in capturing owing to a much smaller contact line perimeter compared with circular cross-sections. The aligned orientation (the major axis is parallel to the flow) is better than the orthogonal orientation (the major axis is perpendicular to the flow) owing to a larger capture width. A larger collector is beneficial to capillary capture but a very large size is adverse. Smaller but heavier floating particles for smaller capillary numbers can be easily captured at lower Reynolds numbers. The aligned orientation has a greater advantage over the circular cross-section and the orthogonal orientation in the capillary capture. This provides a good method for enhancing the capture efficiency of floating particles in applications.

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Section: Resultssupporting

confidence: 72%

Enhanced interfacial capture with an elliptical cylinder

Tan,

Zhang,

Zhang

et al. 2024

Proc. R. Soc. A.

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“…The Maxey-Riley equation (1) or its dimensionless form ( 5) is an integro-differential equation, which means that during the integration process in each time step it is necessary to compute the Basset history force integral term. For this purpose we used variable time step order one quadrature scheme presented in [36] proposed in [25]. In this sense, the Maxey-Riley equation ( 5) can be transcribed to the system of ordinary differential equations (ODEs).…”

Section: Numerical Integration Of the Maxey-riley Equationmentioning

confidence: 99%

Importance of Basset History Force for the Description of Magnetically Driven Motion of Magnetic Particles in Air

Krafčík

Babinec

Babincová

et al. 2020

Measurement Science Review

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Lungs are used as an attractive possibility for administration of different therapeutic substances for a long time. An innovative method of such administration widely studied nowadays is the application of aerosolized magnetic particles as the carriers to the lungs in the external non-homogeneous magnetic field. For these reasons we have studied dynamics of such a system on a level of particle trajectory in air in the presence of magnetic force as a driving force exerted on micrometric magnetic particle. On two typical examples of magnetically driven systems—motion of magnetic particle in a gradient magnetic field and cyclotron-like motion of a charged particle in homogeneous magnetic field in microscale, where the external accelerating forces are very large and the relevant time scale is of the order from fraction of milliseconds to seconds, we have examined the importance of these forces. As has been shown, for particles with high initial acceleration, not only the commonly used Stokes force but also the Basset history force should be used for correct description of the motion.

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“…Because of the difficulties associated with calculating the integral term, Basset hereditary force is often ignored. However, in a number of studies, − it is shown that Basset hereditary force could influence the bubble dynamics. An integral/quadrature scheme has been developed for the numerical estimation of the Basset hereditary force …”

Section: Introductionmentioning

confidence: 99%

Oxygen-Selective Diffusion-Bubbling Membranes with Core–Shell Structure: Bubble Dynamics and Unsteady Effects

Белоусов

Fedorov

2021

Langmuir

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Oxygen is the second-largest-volume industrial gas that is mainly produced using cryogenic air separation. However, the state-of-the-art cryogenic technology thermodynamic efficiency has approached a theoretical limit as near as is practicable. Therefore, there is stimulus to develop an alternative technology for efficient oxygen separation from air. Mixed ionic electronicconducting (MIEC) ceramic membrane-based oxygen separation technology could become this alternative, but commercialization aspects, including cost, have revealed inadequacies in ceramic membrane materials. Currently, diffusion-bubbling molten oxide membrane-based oxygen separation technology is being developed. It is a potentially disruptive technology that would propose an improvement in oxygen purity and a reduction in capital costs. Bubbles play an important role in ensuring the oxygen mass transfer in diffusion-bubbling membranes. However, there is not sufficient understanding of the bubble dynamics. This understanding is important to be able to control transport properties of these membranes and assess their potential for technological application. The aim of this feature article is to highlight the progress made in developing this understanding and specify the directions for future research.

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Stokes versus Basset: comparison of forces governing motion of small bodies with high acceleration

Cited by 9 publications

References 20 publications

Enhanced interfacial capture with an elliptical cylinder

Enhanced interfacial capture with an elliptical cylinder

Importance of Basset History Force for the Description of Magnetically Driven Motion of Magnetic Particles in Air

Oxygen-Selective Diffusion-Bubbling Membranes with Core–Shell Structure: Bubble Dynamics and Unsteady Effects

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