1996/05/09 by John Bechhoefer, Brad Johnson · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Experimental and Theoretical Physics Studies #Fluid dynamics and aerodynamics studies #Nonlinear Dynamics and Pattern Formation #nlin.PS #patt-sol
paper · pdf · doi:10.1119/1.18412
8 pages, revtex, with included, embedded eps figs; to appear in Am. J. Phys. (but don't hold your breath)
arxiv created 1996/05/09 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that the linear-stability analysis of the birth of Faraday waves on the surface of a fluid is simplified considerably when the fluid container is driven by a triangle wave form rather than by a sine wave. The calculation is simple enough to use in an undergraduate course on fluid dynamics or nonlinear dynamics. It is also an attractive starting point for a nonlinear analysis.