Abstract
Following the recent discovery of new three-dimensional particle attractors driven by joint (fluid) thermovibrational and (particle) inertial effects in closed cavities with various shapes and symmetries [M. Lappa, Phys. Fluids 26(9), 093301 (2014); ibid. 31(7), 073303 (2019)], the present analysis continues this line of inquiry by probing influential factors hitherto not considered; among them, the role of the steady component of thermovibrational convection, i.e., the time-averaged velocity field that is developed by the fluid due to the non-linear nature of the overarching balance equations. It is shown how this apparently innocuous problem opens up a vast parameter space, which includes several variables, comprising (but not limited to) the frequency of vibrations, the so-called "Gershuni number,"the size of particles (Stokes number), and their relative density with respect to the surrounding fluid (density ratio). A variety of new particle structures (2D and 3D) are uncovered and a complete analysis of their morphology is presented. The results reveal an increase in the multiplicity of solutions brought in by the counter-intuitive triadic relationship among particle inertial effects and the instantaneous and time-averaged convective thermovibrational phenomena. Finally, a universal formula is provided that is able to predict correctly the time required for the formation of all the observed structures.
Original language | English |
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Article number | 053314 |
Number of pages | 23 |
Journal | Physics of Fluids |
Volume | 32 |
Issue number | 5 |
DOIs | |
Publication status | Published - 28 May 2020 |
Keywords
- thermovibrational convection
- Stokes number
- Gershuni number
- particle structures
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Supplementary material for: "Symmetry Breaking Phenomena in Thermovibrationally Driven Particle Accumulation Structures"
Lappa, M. (Creator), University of Strathclyde, 1 Feb 2021
DOI: 10.15129/402709ab-5764-4fa8-a55d-4c79a3c5b203
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