Effect of an External Magnetic Field on the 3-D Oscillatory Natural Convection of Molten Gallium During Phase Change

Effect of the Buoyancy Ratio on Oscillatory Double-Diffusive Convection in Binary Mixture

“…At this stage, the steady-state solution was reached. For the oscillatory regime, the calculation was stopped after a number of increments of time long enough to ensure that the oscillations obtained are true and present the physical oscillations [31][32]. A parallel test was made to guarantee that the energy and species balance between the hot (permeable) and cold walls is less than a prescribed accuracy value, i.e., 0.2%.…”

“…This technique has been used successively by Bouabdallah el al [31]. and Bessaih and Bouabdallah [32] to confirm the established oscillatory convective flow. …”

“…In order to obtain the frequency of oscillations for the critical value, a fast Fourier transform (FFT) is introduced [31][32]. For the case of buoyancy ratio N ¼ 1.25, we have obtained a low critical dimensionless frequency (Figure 7).…”

Transient Laminar MHD Natural Convection Cooling in a Vertical Cylinder

“…Finally, the flow and the temperature fields are stratified and the fluid is cooled-down to a uniform lower temperature, which is determined by the imposed thermal boundary conditions. Bouabdallah et al [7] studied numerically the phase change of molten gallium in three-dimensional oscillatory natural convection flow in a parallelepiped enclosure in the presence of an external magnetic field. They found that the magnetic field stabilized the oscillatory natural convection, producing two-dimensional flow and thermal characteristics.…”

Effect of magnetic field on 3D flow and heat transfer during solidification from a melt

“…In addition, all previous published works assumed that the liquid phase is incompressible and the solid phase was modeled as an incompressible liquid, which has an extremely high viscosity (Dulikravich et al, 1994;Dulikravich, 1999;Colaco et al, 2004). In the present technique, we have used a single mathematical model, which is valid in both the liquid and solid phases (Bouabdallah and Bessaïh, 2010;Bouabdallah et al, 2011).…”