Dimensionless constant-concentration front profiles for an autocatalytic reaction front confined between parallel plates vs the dimensionless cross-gap coordinate , for concentrations , 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, and 0.9. The concentrations and are respectively achieved far ahead of the front, in the unreacted fluid at , and far behind the front, in the fully reacted fluid at . The front is advected and distorted by supportive Poiseuille flow with dimensionless gap-averaged velocity in the same direction as the chemical reaction . Shown are profiles for gap half width to front thickness ratios (a) and (b), with front velocities and 3.70, respectively.
Front profiles similar to Fig. 1 , except that the Poiseuille flow is in the adverse direction, with dimensionless gap-averaged velocity . Again shown are profiles for (a) and (b), but now with front velocities and 0.020, respectively. For , the flow overwhelms the front, and carries it in the direction opposite its natural direction of propagation. For , significant front distortion increases the overall fluid consumption rate, and thereby allows the front to propagate in its natural direction of propagation, which is opposite to the flow.
Front velocity correction vs for , 1, 2, 4, and 8. Data points are from the numerical simulations, and solid traces are given by Eq. (57) , an empirical fit to the data.
Front velocity correction vs for , , , , and . Data points are from the numerical simulations, and solid traces are given by Eq. (58) , an empirical fit to the data.
Fundamental variables used in this paper.
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