ItemArticle

Influence of symmetric/asymmetric boundaries on axisymmetric convection in a cylindrical enclosure in the presence of a weak vertical throughflow

Title
Influence of symmetric/asymmetric boundaries on axisymmetric convection in a cylindrical enclosure in the presence of a weak vertical throughflow
Creator
Siddheshwar P.G.; Kanchana C.; Pez L.M.; Laroze D.
Description
The linear and nonlinear stability of axisymmetric convection of a viscous fluid in a cylindrical enclosure heated from below is investigated for various radius to height ratios. A weak vertical throughflow is imposed in a gravity-aligned or a gravity-opposing manner. Symmetric and asymmetric boundaries of free-free, rigid-rigid and rigid-free types are considered for lower and upper boundaries with isothermal temperature boundary condition. The side-walls are assumed to be rigid and adiabatic. A convergent Maclaurin series representation is considered for the finding of axial trial eigenfunctions. In order to corroborate the results of the present study with those of a previous investigation, the critical Rayleigh number and the number of radial rolls manifesting for any given aspect ratio are determined in the case of no throughflow and an exact match is found. Further, the influence of boundaries and the effect of throughflow on chaotic and periodic regimes of motion are studied with the help of a time series solution and the largest Lyapunov exponent as indicators of chaos. The novelty of the present study is the use of a Maclaurin series representation for the eigenfunctions of the linear problem and using the same in determining the solution with the convective mode. 2023 Elsevier B.V.
Source
Communications in Nonlinear Science and Numerical Simulation, Vol-126
Date
2023-01-01
Publisher
Elsevier B.V.
Subject
Axisymmetric convection; Chaos; Cylindrical enclosure; Newtonian-Boussinesq fluid; RayleighBard convection; Throughflow
Coverage
Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST(Deemed to be University), Bengaluru, 560029, India; Kanchana C., Instituto de Alta Investigaci, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Pez L.M., Departamento de Fica, FACI, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Laroze D., Instituto de Alta Investigaci, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile
Rights
Restricted Access
Relation
ISSN: 10075704
Format
Online
Language
English
Type
Article

Collection

Articles

Citation

Siddheshwar P.G.; Kanchana C.; Pez L.M.; Laroze D., “Influence of symmetric/asymmetric boundaries on axisymmetric convection in a cylindrical enclosure in the presence of a weak vertical throughflow,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/13993.

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