Paper Info
Title
Nonlinear Stability and Linear Instability of Double-Diffusive Convection in a Rotating with LTNE Effects and Symmetric Properties: Brinkmann-Forchheimer Model
Abstract
The major finding of this paper is studying the stability of a double diffusive convection using the so-called local thermal non-equilibrium (LTNE) effects. A new combined model that we call it a Brinkmann-Forchheimer model was considered in this inquiry. Using both linear and non-linear stability analysis, a double diffusive convection is used in a saturated rotating porous layer when fluid and solid phases are not in the state of local thermal non-equilibrium. In addition, we discussed several related topics such as the effect of solute Rayleigh number, symmetric properties, Brinkman coefficient, Taylor number, inter-phase heat transfer coefficient on the stability of the system, and porosity modified conductivity ratio. Moreover, two cases were investigated in non-linear theory, the case of the Forchheimer coefficient F = 0 and the case of the Taylor-Darcy number tau = 0. For the validation of this work, some numerical experiments were made in the non-linear energy stability and the linear instability theories.
Year
DOI
Venue
2022
10.3390/sym14030565
SYMMETRY-BASEL
Keywords
DocType
Volume
double diffusive convection, porous layer rotation, brinkman model, local thermal non-equilibriummodel, Taylor-Darcy number, Forchheimer model
Journal
14
Issue
ISSN
Citations 
3
2073-8994
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Ghazi Abed Meften100.68
Ali Hasan Ali201.69
Khalil S. Al-Ghafri300.68
Jan Awrejcewicz41816.79
Omar Bazighifan504.06