Investigating Salt-Finger Convection Under Time-Dependent Gravity Modulation in Micropolar Liquids
gravity modulation; micropolar fluid parameters; salt-finger convection; solutal Rayleigh number; stability analysis; Venezian method
This paper investigates how gravity modulation affects salt-finger convection in a micropolar liquid layer confined between two parallel, infinitely long plates separated by a thin gap. The system is heated and has solute added from above. The study uses linear stability analysis to examine when and how salt-finger convection, driven by the salt-finger process, begins. To analyze this, the partial differential equations governing the system are solved numerically using normal mode analysis. The Venezian approach is applied to find the critical Rayleigh number and the solutal Rayleigh number, which are key to understanding the onset of convection. Also, the paper explores how different micropolar fluid parameterssuch as the coupling parameter, micropolar heat conduction parameter, couple stress parameter, and inertia parameteraffect the system when gravity modulation is present. It is found that gravity modulation can either stabilize or destabilize convection, depending on its frequency. At very high frequencies (approaching infinity), the effect of gravity modulation becomes minimal, having little impact on the convection process. The paper also examines the relationship between the critical Rayleigh number and the solutal Rayleigh number, which are related to heat and solute concentration, respectively. 2024 Wiley Periodicals LLC.
Jayan, Devika; Tom, Clair; Arun Kumar, N.
Heat Transfer;Volume;54;Issue;3;pp.1782-1795
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https://doi.org/10.1002/htj.23252 https://www.scopus.com/pages/publications/105002267883?origin=resultslist
Jayan D., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, India; Tom C., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, India; Arun Kumar N., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, India