Rayleigh–Benard convection of viscoelastic fluid

The effect of surfactant solutions on flow structures in turbulent Rayleigh-Benard convection

“…Through the experimental results, Wei et al [19] have found an increase of Nusselt number beyond certain polymer concentration in RBC with by using rough plates, but the addition of polymers could reduce the heat transfer in RBC with smooth plates. The similar results of enhancing and reducing heat transfer can be also obtained by DNS [20,21]. Recently, Chen et al [22] found that the addition of polymers reduced the heat flux and the amount of heat transfer reduction behaves non-monotonically, which firstly increases but then decreases with Weissenberg number.…”

Numerical nonlinear analysis of subcritical Rayleigh-Bénard convection in a horizontal confined enclosure filled with non-Newtonian fluids

“…Another numerical study was concerned with a viscoelastic Criminale-Erickson-Filbey (CEF) fluid confined in a square cavity heated from below. 18 The results stated that beyond a critical Wiesenberger number, the system became unstable. Li and Khayat 19 investigated the finite-amplitude thermal convection for a thin layer of a viscoelastic fluid.…”

Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids

“…He found that a finite elastic stress in the undisturbed state is necessary for elasticity to affect stability. Since Herbert's pioneering work, many physicists have continued to develop the linear theory and nonlinear numerical method in the studies of thermal instability in viscoelastic fluids, see [11,14,47,40,59,61,65,66] and the references cited therein. Moreover, it has also been widely investigated how thermal convection in viscoelastic fluids evolves under the effects of other physical factors, such that rotation [13,42,67], magnetic fields [2,3,54], the porous media [77,62] and so on.…”