Convection in chemical fronts with quadratic and cubic autocatalysis

Chaos
Desiderio A Vasquez, Erik Thoreson

Abstract

Convection in chemical fronts enhances the speed and determines the curvature of the front. Convection is due to density gradients across the front. Fronts propagating in narrow vertical tubes do not exhibit convection, while convection develops in tubes of larger diameter. The transition to convection is determined not only by the tube diameter, but also by the type of chemical reaction. We determine the transition to convection for chemical fronts with quadratic and cubic autocatalysis. We show that quadratic fronts are more stable to convection than cubic fronts. We compare these results to a thin front approximation based on an eikonal relation. In contrast to the thin front approximation, reaction-diffusion models show a transition to convection that depends on the ratio between the kinematic viscosity and the molecular diffusivity. (c) 2002 American Institute of Physics.

References

Jan 15, 1991·Physical Review. a·B F EdwardsK Showalter
May 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J W WilderB F Edwards
Jul 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D A VasquezB F Edwards
Feb 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y WuJ W Wilder
Dec 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y WuJ W Wilder
Jun 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K MatthiessenS C Müller

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Citations

Oct 5, 2010·Chaos·Desiderio A Vasquez, Dan I Coroian
Oct 2, 2012·Chaos·Dylan Bargteil, Tom Solomon
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Desiderio A Vasquez

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