Nonlinear front evolution of hydrodynamic chemical waves in vertical cylinders

Joseph W. Wilder, Desiderio A. Vasquez, Boyd F. Edwards

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The nonlinear stability of three-dimensional reaction-diffusion fronts in vertical cylinders is considered using the viscous hydrodynamic fluid equations in the limit of infinite thermal diffusivity. A nonlinear front evolution equation is presented and used to examine the transition from nonaxisymmetric to axisymmetric convection observed in experiments performed in cylinders. Comparisons with experiments show excellent agreement in both the shape and speed of the front.

Original languageEnglish
Pages (from-to)3016-3020
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number3
StatePublished - 1997
Externally publishedYes


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