Abstract
The problem of pure thermovibrational flow in a twodimensional square cavity containing a viscoelastic liquid is investigated in the framework of a numerical approach based on the governing balance equations for mass, momentum, and energy in their complete and nonlinear timedependent form. For problem closure, these equations are complemented with the transport equation for the elastic stress formulated using the finitely extensible nonlinear elastic ChilcottRallison (FENECR) constitutive model. A complete parametric study is carried out to highlight the different path of evolution taken by the considered viscoelastic fluid with respect to the corresponding Newtonian counterpart when the Gershuni number is increased. Attention is paid to the patterning scenario in terms of timeaveraged flow and related multicellular structures. It is shown that the triadic relationship among the typical characteristic time scales involved in these phenomena, namely, the thermally diffusive time, the fluid relaxation time, and the period of vibrations, can lead to a kaleidoscope of states, which differ in regard to the prevailing symmetry and the related spatiotemporal behaviors. Moreover, the complex interaction between the external vibrations and the elastic property of the polymer molecules, mediated by viscous effects, can produce an interesting "intermittent response."
Original language  English 

Article number  033105 
Number of pages  18 
Journal  Physics of Fluids 
Volume  33 
Issue number  3 
Early online date  10 Mar 2021 
DOIs  
Publication status  Published  30 Mar 2021 
Keywords
 thermovibrational flow
 twodimensional square cavity
 viscoelastic liquid
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Supplementary material for: "Multicellular states of viscoelastic thermovibrational convection in a square cavity"
Boaro, A. (Creator) & Lappa, M. (Contributor), University of Strathclyde, 2 Mar 2021
DOI: 10.15129/dfd6c9520c1245888efa5c8892cab20f
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