Contribution a l’etude des transferts de chaleur et de masse au sein d’un espace annulaire elliptique d’axe horizontal

Abstract

In this investigation the author presents a numerical study of heat and mass transfer by natural convection in an annular space delimited by two horizontal and confocal elliptical cylinders filled with a Newtonian fluid in laminar and steadystate regime. The phenomenon of thermosolutale convection is governed by the equationsof mass conservation, equations of momentum, energy and concentration expressed in a coordinate system called "elliptical" to facilitate writing boundary conditions and transform the area into a curved rectangular field. The two elliptical walls of the isothermal enclosure, with a constant concentration, T1 and C1 to the inner wall, T2 and C2 to the outer wall, with T1> T2 and C1> C2. Using the Boussinesq approximation and the vorticity-stream function formulation, we study the influence of the main control parameters: the Rayleigh number (Ra), the Lewis number (Le), the Prandtl number (Pr), the buoyancy ratio (N) and the internal volume of eccentricity (e1) on the structure of the flow and, on heat and mass transfer rates.