The impact of feedback mechanisms on RayleighBard penetrative convection in micro-polar fluids

Title

The impact of feedback mechanisms on RayleighBard penetrative convection in micro-polar fluids

Creator

Nandal, Reena; Revankar, Vinit Vinod; Ahmed, Eliyash

Description

This study examines the effects of feedback control and internal heat sources on the onset criterion of RayleighBard convection (RBC) in a horizontal Boussinesq micropolar fluid layer. A linear stability analysis, employing the Chebyshev pseudospectral method, is conducted to compute the eigenvalues and assess the stability of the system under varying conditions. The analysis considers several parameters, including heat conduction, coupling, couple stress, scalar controller gain, and internal heat sources. The findings reveal that the introduction of internal heat sources destabilizes the system, while the scalar controller gain significantly delays the onset of convection, thereby enhancing system stability. Additionally, it is demonstrated that an increase in both the coupling and heat conduction parameters contributes positively to system stabilization, whereas an increase in the couple stress parameter hastens the onset of convection. Notably, the investigation indicates that the system demonstrates greater stability when the boundary is heated from above as opposed to from below. These results provide crucial insights for the control of heat transfer in micropolar fluids and suggest that optimizing the scalar controller gain, along with careful tuning of other system parameters, can significantly enhance stability. The implications of this research are substantial for the design of efficient fluid dynamical systems, particularly in scenarios requiring precise control over temperature, pressure, and flow, such as those encountered in chemical processing, power generation, and manufacturing. 2025 Elsevier Ltd

Source

Chaos, Solitons and Fractals;Volume;194;Issue;;Article No.;116228;

Date

01-01-2025

Publisher

Elsevier Ltd

Subject

Convection; Feedback control; Internal heat source/sink; Micro-polar fluid; ProportionalIntegralDerivative

Coverage

Nandal R., Department of Humanities and Sciences, Guru Nanak Institutions Technical Campus, Hyderabad, 501506, India; Revankar V.V., Department of Mathematics, Christ (Deemed to be University), Bengaluru, 560029, India; Ahmed E., Department of Humanities and Sciences, Guru Nanak Institutions Technical Campus, Hyderabad, 501506, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 9600779; CODEN: CSFOE

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.1016/j.chaos.2025.116228

https://www.scopus.com/pages/publications/86000146170?origin=resultslist