Numerical Research of Double‐Diffusive Natural Convection in Elliptical Cylinders: Influence of Internal Eccentricity

Abstract

The second part study of this paper is to numerically study the double-diffusive natural convection phenomenon inside a space annulus, situated between two horizontal confocal elliptic cylinders filled with a laminar flow, is presented. The elliptical coordinates do utilize to transform the physical domain into one rectangular. The basic equations are discretized using the finite-volume method. Using a developed code, the study covers a wide range for (103 ≤ Rat ≤105), Le = 2, N = 1, e = 0.52, 0.62, 0.72, 0.82.We have made some detailed studies covering the influence of the internal eccentricity parameter e1 on heat and mass transfer. Results do present in the form of isotherms, streamlines, and heat transfer. The local and average numbers for Sherwood and Nesselt are also displayed.Comparison with the published results showed that there is a good agreement. Keywords:double-diffusive, natural convection, elliptic cylinders, Rayleigh number, Lewis number.