Faraday waves on a cylindrical fluid filament – generalised equation and simulations

• Published in: Journal of fluid mechanics Vol. 857; pp. 80 - 110
• Main Authors: Patankar, Sagar, Farsoiya, Palas Kumar, Dasgupta, Ratul
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 25.12.2018
• Subjects: Amplitude; Amplitudes; Capillary waves; Computational fluid dynamics; Computer simulation; Coordinate systems; Coordinates; Cylindrical waves; Euler-Lagrange equation; Fluid flow; Fluids; Frameworks; Geometry; Gravitational waves; Harmonic oscillators; Incompressible flow; Interface stability; JFM Papers; Nonlinear systems; Nonlinearity; Oscillations; Perturbation methods; Perturbations; Simulation; Stability; Stability analysis; Standing waves; Studies; Surface tension; Time dependence; Faraday waves; capillary waves; parametric instability

We perform linear stability analysis of an interface separating two immiscible, inviscid, quiescent fluids subject to a time-periodic body force. In a generalised, orthogonal coordinate system, the time-dependent amplitude of interfacial perturbations, in the form of standing waves, is shown to be g...