Effect of gravity modulation on linear, weakly-nonlinear and local-nonlinear stability analyses of stationary double-diffusive convection in a dielectric liquid
- Title
- Effect of gravity modulation on linear, weakly-nonlinear and local-nonlinear stability analyses of stationary double-diffusive convection in a dielectric liquid
- Creator
- Siddheshwar P.G.; Revathi B.R.; Kanchana C.
- Description
- The paper deals with the study of effect of gravity modulation on double-diffusive convection in a dielectric liquid for the cases of rigid-rigid and free-free boundaries. Using a modified Venezian approach, expressions for the Rayleigh number and its correction are determined. FourierGalerkin expansion is employed for a weakly nonlinear stability analysis and this results in a fifth-order Lorenz system that retains the structure of the classical one in the limiting case. A local nonlinear stability analysis using the method of multiscales leads to the time-periodic GinzburgLandau equation from the time-periodic generalized Lorenz system and the numerical solution of this simpler equation helps in quantifying unsteady heat and mass transports. Influence of various non-dimensional parameters (Lewis number, solutal Rayleigh number, electrical Rayleigh number and Prandtl number), amplitude and frequency of gravity modulation on onset of convection and heat and mass transports is discussed. The study reveals that the influence of gravity modulation is to stabilize the system and enhance heat and mass transports. The results from free-free boundaries are qualitatively similar to that of rigid-rigid boundaries. Further, it is shown that in the case of free-free boundaries the heat and mass transports are less compared to those of rigid-rigid boundaries. 2020, Springer Nature B.V.
- Source
- Meccanica, Vol-55, No. 10, pp. 2003-2019.
- Date
- 2020-01-01
- Publisher
- Springer Science and Business Media B.V.
- Subject
- Dielectric liquid; Double-diffusive convection; GinzburgLandau equation; Gravity modulation; Lorenz model; Nusselt number; Sherwood number
- Coverage
- Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Revathi B.R., Department of Mathematics, Nitte Meenakshi Institute of Technology, Bangalore, 560064, India; Kanchana C., Instituto de Alta Investigaci, Universidad de Tarapac Casilla 7 D, Arica, Chile
- Rights
- Restricted Access
- Relation
- ISSN: 256455; CODEN: MECCB
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Siddheshwar P.G.; Revathi B.R.; Kanchana C., “Effect of gravity modulation on linear, weakly-nonlinear and local-nonlinear stability analyses of stationary double-diffusive convection in a dielectric liquid,” CHRIST (Deemed To Be University) Institutional Repository, accessed April 29, 2025, https://archives.christuniversity.in/items/show/16221.