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Reply to "Comment on 'Flow-distributed oscillations: stationary chemical waves in a reacting flow' "
1Department of Chemistry, University of Toronto, 80 St. George Street. , Toronto, Ontario, Canada M5S 3H6.
Abstract:
Stationary waves (wavelength lambda) are the necessary result of spatial recurrence of phase in the open flow (rate v) of an oscillating medium with fixed inflow boundary conditions. Any nonlinear dependence lambda(v) on flow is the result of dispersion that is implicit in lambda=v/omega(v), where omega(v) is the oscillation frequency in a reference frame moving with the flow. The flow-distributed oscillator mechanism extends thus from the purely kinematic limit omega=const to the case where a nonlinear dependence lambda(v) is subsumed by the dispersion relationship omega(v).