Abstract
Abstract Reaction fronts of planar, spherical, or other high-symmetry forms may be unstable to perturbations changing their shape. In this chapter we investigate both the linear instability and the nonlinear restabilization of these fronts into scalloped or other lower-symmetry forms. Such phenomena have been found in flames, secondary oil recovery, in situ coal gassification, crystal or particle growth, and reactive porous medium-flow systems. A scalloped reaction front is indicated schematically in Fig. 7-1. In this chapter the instability of planar reaction fronts and their restabilization to new morphologies and states of temporal oscillation are discussed. Numerical results on carbonate-cemented sandstones are presented that demonstrate the surprising richness of nonlinear phenomena that even the simplest systems can sustain.
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