Projects per year
Abstract
To fill a gap in the literature about the specific dynamics of thermovibrational flow in a square cavity filled with a viscoelastic fluid when vibrations and the imposed temperature gradient are concurrent, a parametric investigation has been conducted to investigate the response of this system over a relatively wide subregion of the space of parameters (Pr_{g}=10; viscosity ratio ξ=0.5; nondimensional frequency Ω=25, 50, 75, and 100; and Ra_{ω}∈[Ra_{ω,cr},3.3×10^{4}], where Ra_{ω,cr} is the critical vibrational Rayleigh number). Through solution of the governing nonlinear equations formulated in the framework of the finitely extensible nonlinear elastic ChilcottRallison paradigm, it is shown that the flow is prone to develop a unique hierarchy of bifurcations where initially subharmonic spatiotemporal regimes can be taken over by more complex states driven by the competition of disturbances with different symmetries if certain conditions are considered. What drives a wedge between the cases with parallel and perpendicular vibrations is essentially the existence of a threshold to be exceeded to produce convection in the former case. Nevertheless, these two configurations share some interesting properties, which are reminiscent of the resonances and antiresonances typical of multicomponent mechanical structures. Additional insights into these behaviors are gained through consideration of quantities representative of the kinetic and elastic energy globally possessed by the system and its sensitivity to the initial conditions.
Original language  English 

Article number  065101 
Number of pages  14 
Journal  Physical Review E  Statistical, Nonlinear, and Soft Matter Physics 
Volume  108 
Issue number  6 
DOIs  
Publication status  Published  1 Dec 2023 
Keywords
 thermovibrational flow
 square cavity
 viscoelastic fluid
 bifurcations
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Dive into the research topics of 'Symmetry properties and bifurcations of viscoelastic thermovibrational convection in a square cavity'. Together they form a unique fingerprint.Projects
 4 Finished

Particles & Fluids for SpX26
STFC Science and Technology Facilities Council
1/01/22 → 31/08/23
Project: Research

Mixture Degassing for Flight Experiment
STFC Science and Technology Facilities Council
1/06/21 → 31/03/22
Project: Research

Particle Vibration ESR Finalisation
STFC Science and Technology Facilities Council
1/10/20 → 31/03/21
Project: Research
Datasets

Supplementary material for: "The symmetry properties and bifurcations of viscoelastic thermovibrational convection in a square cavity"
Boaro, A. (Creator) & Lappa, M. (Creator), University of Strathclyde, 3 Nov 2023
DOI: 10.15129/f6e78c9e9a43467fa4db3dbfbfece700
Dataset