ON QUENCHING OF THE REACTION WAVE MOVING THROUGH SPATIALLY PERIODIC SHEAR-FLOW

A one-dimensional model describing a self-sustaining reaction wave mov ing through a unidirectional periodic flow field is proposed and studi ed numerically. In the case of zero diffusivity of the deficient react ant the reaction wave undergoes partial extinction, as a result of whi ch a considerable portion of the original premixture remains unconsume d. For long-wavelength fields within a certain range of the flow inten sities the system exhibits a peculiar nonuniqueness of possible propag ation regimes. The transition from one regime to another occurs in a m anner of hysteresis.