Abstract
Following the recent discovery of new threedimensional 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 timeaveraged velocity field that is developed by the fluid due to the nonlinear 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 socalled "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 counterintuitive triadic relationship among particle inertial effects and the instantaneous and timeaveraged 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 

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: 10.15129/402709ab57644fa8a55d4c79a3c5b203
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