Influence of gravity modulation on the initiation of Rayleigh-Bard convection in ferro-nanofluids

Title

Influence of gravity modulation on the initiation of Rayleigh-Bard convection in ferro-nanofluids

Creator

Jincy, C.P.; Pranesh, S.

Description

The study investigates the influence of sinusoidal (sine wave) and non-sinusoidal (square wave, triangular wave, and sawtooth wave) gravity modulation on Rayleigh-Bard Convection in ferro-nanofluids (FNF) using both linear and nonlinear stability analyses. Controlled fluid systems are important in application situations, and hence, we have considered gravity modulation approach to control. The linear analysis based on the Venezian method is performed to determine the Rayleigh number of the problem, while the nonlinear analysis is carried out by solving the non-autonomous Lorenz equations to evaluate the heat transfer coefficient through the Nusselt number. Free-free and rigid-rigid boundary conditions for both upper and lower plates are considered along with isothermal and iso-nano concentration conditions. The purpose of the present study is to investigate the influence of initiation of convection and heat transfer in FNFs. This research focuses on analyzing the effects of various dimensionless parameters on the onset of convection and heat transfer. The results indicate that the magnetization parameters destabilize the system and enhance heat transfer. Among the four wave forms considered, square wave gravity modulation is found to facilitate greater heat transport compared to other forms of gravity modulation. In addition, the presence of ferro-nanoparticles advances the initiation of convection and enhances heat transfer. The novelty of this study lies in analyzing unconsidered aspects of gravity modulation, together with magnetic effects and nanoparticles, on the onset of convection and heat transfer in FNFs using both linear and nonlinear stability approaches. 2025 Author(s).

Source

Physics of Fluids;Volume;37;Issue;11;Article No.;114106;

Date

01-01-2025

Publisher

American Institute of Physics

Coverage

Jincy C.P., Centre for Mathematical Needs, Department of Mathematics, Christ University, Bengaluru, 560029, India; Pranesh S., Centre for Mathematical Needs, Department of Mathematics, Christ University, Bengaluru, 560029, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 10706631; CODEN: PHFLE

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.1063/5.0293055

https://www.scopus.com/pages/publications/105021016296?origin=resultslist