A critical review of buoyancy-induced flow transitions in horizontal annuli

Radiation effects on bifurcation and dual solutions in transient natural convection in a horizontal annulus

“…(25)] can be formulated into the equivalent nodal basis expansion asĨ The first-order partial derivative of the radiative intensity is required for the solution to the RTE. Here, the evaluation of the partial derivative is by the 'diffuse derivative' approach, 49 and yields…”

“…Similar results were provided later by Mizushima et al, 20,21 xin et al 22 and Mercader et al 23 Petrone et al 24 performed a stability analysis of numerical steady-state solutions, and provided a detail of the bifurcation diagram near the imperfect bifurcation for different radius ratio R = 1.2, 1.4 and 2 at Pr = 0.7. Angeli et al 25 provided a critical review of buoyancy-induced flow transitions in horizontal annuli. Soucasse et al 26 studied the transitional regimes of natural convection in a differentially heated cubical cavity under the effects of wall and molecular gas radiation.…”

Appearance of quasiperiodicity within a period doubling route to chaos of a swaying thermal plume

“…In fact, great interest has been given to the non-linear dynamics of thermal convection in basic enclosure configurations, with the heat source either corresponding with the bottom or side walls of the cavity [1,2]. Several theoretical and experimental studies have also been devoted to the horizontal annulus, as summarized in [3]. For more complex configurations, though most of the effort has been mainly focused on heat transfer performances [4][5][6][7], the use of optical techniques such as Particle Image Velocimetry (PIV), has recently allowed the experimental study of the flow field and of its influence on the overall heat transfer [8,9].…”

“…Details of transition vary greatly from one case to another; however, a number of established routes to chaos are found to be common to many types of dissipative dynamical systems [13]. As several types of possible flow regimes are encountered, the simple set of acronyms and abbreviations proposed by Gollub and Benson [14] and extended in [3] is adopted in the following in order to facilitate their description.…”

Study of conjugate natural convection between vertical coaxial rectangular cylinders

“…Recently, Angeli et al [5] presented a critical review of natural convection flow transitions in horizontal annuli. De Vahl Devis and Thomas [6] reported numerical results for natural convection in the annular space between concentric vertical cylinders.…”