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- Title
Effect of anisotropic permeability on double‐diffusive bidisperse porous medium.
- Authors
Saleh, Sara H.; Haddad, Shatha A.
- Abstract
The model of thermosolutal convection in a fluid‐saturated bidisperse porous medium of Darcy type is studied in this paper. The permeability is allowed to be horizontally isotropic for both the macro‐ and microphases. The linear instability and nonlinear stability are analyzed by taking the Soret effect into account. Furthermore, the effect of anisotropy parameter, Soret coefficient, and other physical parameters on the stability of the system are investigated. It is shown that the linear instability boundaries and the energy stability boundaries do not coincide when the layer is heated and salted from below, where a region of potential subcritical instability occurs. The results reveal that the horizontal to vertical permeability ratio plays a crucial role in the stability of the system. It is also observed that for large values of the salt Rayleigh number, the onset of thermal convection is more likely to be via oscillatory convection rather than stationary convection. Furthermore, the onset of stationary convection is significantly influenced by the presence of the Soret coefficient.
- Subjects
POROUS materials; PERMEABILITY; THERMOPHORESIS; POROELASTICITY; RAYLEIGH number; FREE convection
- Publication
Heat Transfer, 2020, Vol 49, Issue 4, p1825
- ISSN
2688-4534
- Publication type
Article
- DOI
10.1002/htj.21695