The Infinite Schmidt Number Limit of the Salt Fingering Convection Model and the Inertial Free Salt Convection Model

Author

Yining Cao
Xiaoming Wang, Missouri University of Science and TechnologyFollow
Jin Han Xie

Abstract

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Comments

National Natural Science Foundation of China, Grant 2019B030301001

Keywords and Phrases

Asymptotic Analysis; Inertial Free Salt Convection Model; Salt Fingering Convection; Singular Perturbation

International Standard Serial Number (ISSN)

0093-6413

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Elsevier, All rights reserved.

Publication Date

01 Jan 2023