ItemArticle

Comparison of the effect of suction-injection-combination on Rayleigh-Bard convection in the case of asymmetric boundaries with those of symmetric ones

Title
Comparison of the effect of suction-injection-combination on Rayleigh-Bard convection in the case of asymmetric boundaries with those of symmetric ones
Creator
Kanchana C.; Siddheshwar P.G.; Pez L.M.; Laroze D.
Description
The effect of suction-injection-combination (SIC) on the linear and weakly nonlinear stability of Rayleigh-Bard convection is considered in the paper for the cases of symmetric and asymmetric boundary conditions. Using the Maclaurin series with an appropriate number of terms, expression for eigenfunctions is obtained. The linear theory corroborates the results obtained using the chosen eigenfunctions in the limiting case of the no-SIC effect by matching accurately with the exact values concerning the critical Rayleigh number (Rac) and the wave number (?c). It is found that the effect of SIC is to stabilize the system in the case of symmetric boundaries irrespective of SIC being pro-gravity or anti-gravity. However, the effect of SIC is to stabilize/destabilize the system depending on SIC being pro-gravity or anti-gravity in the case of the asymmetric boundaries. We also noted a similar effect in the case of ?c wherein a maximum error of order 10 ? 4 was observed. The main novelty of the present work is studying the influence of SIC on the nonlinear dynamics of the considered problem. It is shown that the effect of SIC is to hasten the onset of chaos. Using various indicators (the largest Lyapunov exponent, the time series solution, the amplitude spectrum, and the phase-space plots), the dynamical behavior of the system is analyzed and the influence of SIC on the dynamics is recorded. The change due to the boundary effect and the SIC on the size of convection rolls and the trapping region where the dynamical system evolves within a bound is highlighted in the paper. 2023 Author(s).
Source
Physics of Fluids, Vol-35, No. 5
Date
2023-01-01
Publisher
American Institute of Physics Inc.
Coverage
Kanchana C., Instituto de Alta Investigaci, CEDENNA, Universidad de Tarapac Casilla 7 D, Arica, Chile; Siddheshwar P.G., Center for Mathematical Needs, Department of Mathematics, CHRIST(Deemed to be University), Bengaluru, 560029, India; Pez L.M., Departamento de Fica, FACI, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Laroze D., Instituto de Alta Investigaci, CEDENNA, Universidad de Tarapac Casilla 7 D, Arica, Chile
Rights
Restricted Access
Relation
ISSN: 10706631; CODEN: PHFLE
Format
Online
Language
English
Type
Article

Collection

Articles

Citation

Kanchana C.; Siddheshwar P.G.; Pez L.M.; Laroze D., “Comparison of the effect of suction-injection-combination on Rayleigh-Bard convection in the case of asymmetric boundaries with those of symmetric ones,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/14294.

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