Linear and Global Stability Analyses on the Influences of Thermal Non-Equilibrium and Non-uniform Gravity Field on DarcyBrinkmanBard Convection
- Title
- Linear and Global Stability Analyses on the Influences of Thermal Non-Equilibrium and Non-uniform Gravity Field on DarcyBrinkmanBard Convection
- Creator
- Siddabasappa C.; Siddheshwar P.G.
- Description
- Global and linear stability analyses of DarcyBrinkmanBard convection in a liquid-saturated porous medium with a non-uniform gravity field using the local thermal non-equilibrium (LTNE) model are investigated. Linear and quadratic (parabolic) gravity field profiles are considered in the analysis. The OberbeckBoussinesq approximation is assumed to be a valid and the stationary mode of onset of convection is shown to be the preferred mode due to the validity of the principle of exchange of stabilities. Critical values of wavenumber and thermal Rayleigh number are obtained numerically using the higher-order Galerkin technique. The effect of an increase in the gravity fields strength is to delay the onset of convection, and to a growth in convective cell size. Further, linear convective profile is found to postpone convection compared to the quadratic one. Global stability ensures the existence of subcritical motions in the case of a non-uniform gravity field. In contrast, subcritical motions do not exist in constant gravity in LTE and LTNE situations. A non-uniform gravity field has a significant influence on the convective instability in a liquid-saturated high-porosity medium, lesser influence in the case of a low porosity medium and least in the case of a clear fluid layer. 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
- Source
- International Journal of Applied and Computational Mathematics, Vol-7, No. 4
- Date
- 2021-01-01
- Publisher
- Springer
- Subject
- Energy method; Global stability analysis; Linear stability analysis; Local thermal equilibrium; Local thermal non-equilibrium; Subcritical motions; Variable gravity
- Coverage
- Siddabasappa C., Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bangalore, 560 058, India; Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560 029, India
- Rights
- Restricted Access
- Relation
- ISSN: 23495103
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Siddabasappa C.; Siddheshwar P.G., “Linear and Global Stability Analyses on the Influences of Thermal Non-Equilibrium and Non-uniform Gravity Field on DarcyBrinkmanBard Convection,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 23, 2025, https://archives.christuniversity.in/items/show/15653.