Theoretical and numerical analyses of the effect of cross-diffusion on the gravitational instability in ternary mixtures
- Authors
- Kim, Min Chan; Song, Kwang Ho
- Issue Date
- 11월-2019
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Gravitational instability; Cross diffusion; Complex eigenvalue; Numerical simulation
- Citation
- INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, v.143
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
- Volume
- 143
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/62071
- DOI
- 10.1016/j.ijheatmasstransfer.2019.118511
- ISSN
- 0017-9310
- Abstract
- To understand the effect of cross diffusion on the onset and the growth of the gravitational instabilities in a ternary solution more rigorously, theoretical and numerical analyses are conducted by considering all cross diffusion coefficients. We clearly showed that the stable concentration field is possible even for the complex-eigenvalues systems, such as acetone(1)-benzene(2)-CCl4(common solvent) ternary mixture. By employing Faddeeva functions, we extended the previous asymptotic analysis into the complex eigenvalue systems. In addition, by considering all possible cross diffusion coefficients, i.e., complex conjugate, and real and distinct eigenvalues system, we derive the linear stability equations in the uncoupled form, solve them, and conduct nonlinear numerical simulations employing the linear stability result as an initial condition. Through the present asymptotic, linear and nonlinear analyses, the instability motions in the double-diffusive (DD), diffusive-layer convection (DLC) and extended double diffusive (EDD) regimes are clearly identified. The present asymptotic, linear and nonlinear analyses support each other and are in good agreement with the previous theoretical, numerical and experimental work. (C) 2019 Elsevier Ltd. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Engineering > Department of Chemical and Biological Engineering > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.