Bifurcation and numerical study in an EHD convection problem
Ioana Dragomirescu
TL;DR
This paper investigates the stability and bifurcation behavior of electrohydrodynamic convection using analytical and numerical methods, providing insights into the neutral surface and employing spectral techniques for accurate results.
Contribution
It offers a bifurcation analysis of EHD convection stability and introduces a spectral Galerkin method for numerical solutions.
Findings
Analytical expression for the neutral surface in classical EHD convection
Effective spectral method for stability analysis
Identification of bifurcation points in the system
Abstract
The linear eigenvalue problem governing the stability of the mechanical equilibrium of the fluid in a electrohydrodynamic (EHD) convection problem is investigated. The analytical study is one of bifurcation. This allows us to regain the expression of the neutral surface in the classical case. The method used in the numerical study is a Galerkin type spectral method based on polynomials and it provides good results.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPower Transformer Diagnostics and Insulation · Fluid Dynamics and Turbulent Flows · Fluid Dynamics and Thin Films