Abstract
Slow chemical reactions in which plume travel time is short compared to characteristic chemical reaction times are incorporated into the M.I.T. buoyant plume theory. Approximate solutions to the conservation equations are derived and compared with numerical results in the near and far-field. In these solutions the source term has been written for a single irreversible bimolecular reaction of arbitrary order of the form A + B → AB. The restriction of slow reactions or [AB] [A] o ⪡ 1 is here found to be justified provided kl b [ A] o n1−1 [ B] o n2 / v ⪡ 1. Moreover, far-field asymptotic results predict that the product concentration [AB]αx 4 3 and the fractional conversion ratio [AB] [A]α constant for reaction orders n ≥ 7 4 . The far-field results are adapted to SO 2 oxidation and favorably compared with representative field data where it is demonstrated that SO 4 2− formation conforms to a second order reaction mechanism.
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