Double diffusive convection and steady 2D salt finger solutions in porous media ...
Double diffusive convection is a naturally occurring phenomenon playing important roles in geophysical, astrophysical, and oceanographic events alike. Herein, it is the transfer of heat by fluid movement driven by the differing rates of diffusion of temperature and salinity, developing into one of 2...
| Main Author: | |
|---|---|
| Format: | Text |
| Language: | English |
| Published: |
University of British Columbia
2020
|
| Subjects: | |
| Online Access: | https://dx.doi.org/10.14288/1.0392965 https://doi.library.ubc.ca/10.14288/1.0392965 |
| Summary: | Double diffusive convection is a naturally occurring phenomenon playing important roles in geophysical, astrophysical, and oceanographic events alike. Herein, it is the transfer of heat by fluid movement driven by the differing rates of diffusion of temperature and salinity, developing into one of 2 regimes: diffusive convection or salt fingering. We consider this problem in a porous medium, relevant in situations regarding permafrost, magma, and soils amongst others. We begin by performing and comparing linear and nonlinear stability analyses near the onset of instability, as in existing work. We ultimately find that the two methods result in the same bounds for the onset of instability for salt fingering and steady diffusive convection, and so we conclude there are no subcritical cases. This is further confirmed in the third section, wherein we conduct a weakly nonlinear stability analysis using asymptotic expansions. In both the diffusive convection and the salt fingering cases, the amplitude equations ... |
|---|