Numerical study of thermal convection induced by centrifugal buoyancy in a rotating cylindrical annulus

Columnar vortices induced by dielectrophoretic force in a stationary cylindrical annulus filled with a dielectric liquid

“…Thus, it is the origin of the breaking of the axial invariance of columnar vortices, making them different from the Taylor columns which are axially invariant (Davidson 2013; Kang et al. 2019 a , b ). The coupling between the axial temperature gradient and the electric gravity gives a contribution to the azimuthal vorticity and it reinforces its axial asymmetry (figure 8 b ).…”

“…1999; Plaut & Busse 2002; Ghil, Read & Smith 2010; Kang et al. 2019 a , b ). The latter is associated with a radial effective gravity and it is the analogue of the DEP buoyancy.…”

Onset of thermal convection in non-colloidal suspensions

“…To characterize the critical states of the flow, we use the Landau equation, which describes the evolution of the flow perturbation in its weakly nonlinear regime, and it can be determined as (Landau & Lifshitz 1976; Guckenheimer & Holmes 1983; Kang et al. 2017, 2019 a , b ) Here, is the linear growth rate of the perturbation and l is the Landau constant, where the sign of l indicates the nature of the bifurcation (i.e. supercritical versus subcritical).…”

“…They both can be determined from the linear stability analysis (Kang et al. 2017, 2019 a , b ). In this study, the coefficients are zero (i.e.…”

“…The bifurcation is supercritical (non-hysteretic) if l is positive , while a negative value of l indicates a subcritical (hysteretic) transition (Kang et al. 2017, 2019 a , b ). The sign of l can be identified practically from the behaviour of the instantaneous growth rate as a function of at a vanishing .…”