Browsing by Author "Cheddadi, Abdelkhalek"

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    Numerical simulation of natural convection between two concentric isothermal spheres at moderate Rayleigh number
    (American Institute of Physics, 2019) Baghli, Houda; Cheddadi, Abdelkhalek
    The numerical Simulation of natural convection within an incompressible Newtonian fluid confined between two isothermal and concentric spheres is carried out. The phenomenon considered is two-dimensional, axisymmetric and permanent, with an annular space ratio of A = 2, filled with air Pr = 0.7, at moderate Rayleigh number Ra between 103 and 106. Simultaneous resolution of the continuity equations, of Navier-Stokes and energy, is carried out by the combination of the implicit method of alternate directions (ADI) with the method of convergence acceleration by successive replacement (SAR), in the Vorticity-Stream function formulation. The isovalues of temperature T and the steam function ψ obtained, as well as the Average Nusselt number, are in a good agreement with previous studies, and gives new Nusselt number correlation Nu = f(Ra)