Natural convection for large temperature gradients around a square solid body within a rectangular cavity

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

“…on the forcing term Ra [29]. Reported results refer to the system variables simulated at point (0; 0.5) and are representative of the dynamics observed in the other points.…”

Numerical Simulation of Natural Convection of Nanofluid in a Square Cavity Including a Square Heater

“…the benchmark problem of natural convection in a square cavity which considered by De Vahl Davis [2] filled with Air ( = 0.71). Table 3 demonstrates an excellent comparison of the average Nusselt number between the present results and the numerical results found in the literature .…”

“…This cavity with those boundary conditions is known as differentially heated cavity (DHC). Bouafia and Daube [2] studied natural convection in cavity filled with air having a heated solid body. They observed that the induced disturbances determined for weakly supercritical regimes indicate the existence of two instability types driven by different physical mechanisms: shear and buoyancy-driven instabilities, according to whether the flow develops in a square or in a tall cavity.…”

On the bimodal nature of a confined buoyant plume. Part I: A topological and analytical insight

“…The case has already been addressed in terms of subcritical flows and steadystate heat transfer [12e15], and first instabilities of the system have also been characterised as a function of the cavity aspect ratio, under the approximation of 2D flow [16]. Similar investigations were also carried out by Desrayaud and Lauriat [8], who considered a horizontal line heat source, and, later, by Bouafia and Daube [17], on an enclosed square-sectioned horizontal cylinder. Unlike the previously mentioned work on RayleigheB enard convection, all of these studies on enclosed heated cylinders considered Pr-values representative of air, i.e.…”