Work

The unsteady diffusive mass transfer in doubly connected region bounded by concentric ellipse

Year: 2024

Type: article

Abstract: Investigation of the unsteady mass transfer resulting from diffusion caused by concentration gradient in a region enclosed by two concentric ellipses is explored in this study. Initial deposition of concentration, whose magnitude is C 0 assumed to be at the inner ellipse C 1 and diffusive mass transfer towards the wall of an outer ellipse C 2 is studied. Using conformal mapping, the concentric ellipses in the z-plane are transformed into concentric circles in ζ - plane. Whenever the concentration study in chromatography arises, the concentric ellipses as a doubly connected region provide a better way to separate colors. Hence, confocal ellipses are chosen as doubly connected regions to study diffusion where both surfaces are fixed. As time lapses, in the long run, initial concentration depletes, and this effect on concentration is investigated. It is found that concentration enhances with large mass flux but depletes with an increase in the area of the cross-section of the doubly connected region.

Source: Ain Shams Engineering Journal

DOI: 10.1016/j.asej.2024.103113