Brinkman-Bard convection in a rotating-binary liquid saturated porous medium

Title

Brinkman-Bard convection in a rotating-binary liquid saturated porous medium

Creator

Siddabasappa C.; G.S. N.; Babitha

Description

The primary intent of the work is to investigate the linear and weakly non-linear stability analyses of natural convection in a rotating binary liquidsaturated porous medium. In the mathematical model, Newtonian binary liquid-saturated porous medium with uniform rotation subjected to stress-free isothermal boundaries and the validity of OseenBoussinesq approximation is considered in the study. Normal mode analysis is operated to acquire the DarcyRayleigh number expression in terms of the other parameters. The amount of heat and mass transfer rates are approximated at the lower boundary by performing weakly non-linear stability analysis using truncated Fourier series solution. The analysis of critical Rayleigh number, critical wave number, heat, and mass transfer is done for different values of parameters and discussed in detail with the help of plots and tables. Lewis number stabilizes the convective system, whereas increasing in the separation ratio coefficient destabilizes the convective system. Weakly nonlinear stability analysis reveals that the binary liquids with a smaller separation ratio coefficient transport the maximum heat and minimum mass compared to binary liquids with large separation ratio coefficient values. The amount of heat transport is enhanced by 14% with increase in the values of Ta whereas the same is diminished by 3.5 % and 5% respectively for the ? and Le. Thus, the effect of rotations pronounced on the onset of convection, heat and mass transports predominantly compared to the effect of binary mixtures parameters. The results of the classical RayleighBard convection and natural convection in a liquid-saturated porous medium with local thermal-equilibrium assumption can be obtained as a particular case of the study by setting the appropriate limits. 2025 Elsevier Ltd

Source

Thermal Science and Engineering Progress, Vol-59

Date

2025-01-01

Publisher

Elsevier Ltd

Subject

Binary liquid; HortonRogersLapwood problem; Local thermal non-equilibrium; Porous medium

Coverage

Siddabasappa C., Department of Sciences and Humanities, CHRIST University, Karnataka, Bangalore, 560 074, India; G.S. N., Department of Mathematics and Statistics, M S Ramaiah University Of Applied Sciences, Karnataka, Bangalore, 560 058, India; Babitha, Department of Mathematics, CHRIST University, Karnataka, Bangalore, 560029, India

Rights

Restricted Access

Relation

ISSN: 24519049

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1016/j.tsep.2025.103214

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