Characterization of chaotic thermal convection of viscoelastic fluids

Chaotic convection in a ferrofluid

“…The experimental observation of the chaotic behavior in this system was made by Libchaber and coworkers [2]. Other works in the chaotic convection are in simple fluids [4,5], in binary fluids [3,6,7], in viscoelastic fluids [8][9][10][11], in porous media [12][13][14], in magnetohydrodynamics [15], in magnetic fluids [16] or in dielectrics [17], just to mention a few examples.…”

Effect of time-periodic vertical oscillations of the Rayleigh–Bénard system on nonlinear convection in viscoelastic liquids

“…Riahi [4], Eltayeb [5], Rosenblat [6], Renardy and Renardy [7], Martinez-Mardones and Perez-Garcia [8], Khayat [9][10][11], Park and Lee [12,13], Mardones et al [14], Park and Ryu [15], Siddheshwar and Srikrishna [16], Abu-Ramadan et al [17], Li and Khayat [18] and Albaalbaki and Khayat [19] studied nonlinear convection/chaos/pattern selection in different viscoelastic liquids. Many of the above nonlinear works consider only the most minimal mode from the Fourier expansion of the governing equations.…”

Elastic effects on Rayleigh-Bénard convection in liquids with temperature-dependent viscosity

“…Abu-Ramadan et al [20] have studied chaotic thermal convection of viscoelastic fluids. The viscoelastic flow in the context of the Rayleigh-Bé nard thermal convection set-up is examined using a four-dimensional nonlinear dynamical system resulting from a truncated Fourier representation of the conservation and constitutive equations, for an Oldroyd-B fluid.…”