The Infinite Schmidt Number Limit of the Salt Fingering Convection Model and the Inertial Free Salt Convection Model
We show that the large Schmidt number limit with fixed Prandtl number and Rayleigh number ratio of the salt convection model is exactly the inertial free salt convection model (IFSC). the limit is a singular one, with simultaneous perturbation in both the velocity and temperature field, and the rigorous mathematical justification involves two-time scale expansion.
Y. Cao et al., "The Infinite Schmidt Number Limit of the Salt Fingering Convection Model and the Inertial Free Salt Convection Model," Mechanics Research Communications, vol. 127, article no. 104024, Elsevier, Jan 2023.
The definitive version is available at https://doi.org/10.1016/j.mechrescom.2022.104024
Mathematics and Statistics
Keywords and Phrases
Asymptotic Analysis; Inertial Free Salt Convection Model; Salt Fingering Convection; Singular Perturbation
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2023