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.
