Multicellular states of viscoelastic thermovibrational convection in a square cavity

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