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Study of the Transient Natural Convection of a Newtonian Fluid inside an Enclosure Delimited by Portions of Cylinders

Using a bi-cylindrical coordinates system and a vorticity-stream function formulation, the authors study numerically the two dimensional unsteady natural convection of a Newtonian fluid bounded by portions of cylinders. A spatial discretization based on the finite difference method is used to approximate the dimensionless equations. While a purely implicit scheme is adopted for the time discretization. The algebraic systems of equations resulting from the discretization are solved by a Successive under Relaxation (SUR) method. The authors analyzed the effects of the Rayleigh number on the dynamic of the system. The analysis of the thermal and flow field showed that for Rayleigh number greater than 5.106 the transfers inside the enclosure are dominated by convection.


Auteur(s) : O. N. THIAM, S. DIA, P. FAYE, C. MBOW, J. SARR
Pages : 3069-3074
Année de publication : 2014
Revue : Research Journal of Applied Sciences, Engineering and Technology
N° de volume : 7
Type : Article
Mise en ligne par : SARR Joseph