Abstract
Abstract Hydrometallurgical liquid extraction systems have previously been modeled using sum-of-the-rates (SR) forms, a noted exception is the procedure outlined by Chapman for a single cascade with two hypothetical solutes. In this paper Chapman's simultaneous convergence (SC) procedure is extended to use in a real multicascade, multisolute system with competing mass action equilibrium expressions. Methods for inclusion of non-standard specifications directly into the convergence procedure are examined. A finite region of convergence from initial estimates of nonstandard specifications is developed. It was found that for the base extraction case (iteration only on concentration variables for both phases) that convergence was rapid, no special scaling or initial iteration procedures were required. The inclusion of the specifications into the problem was found to: 1) reduce the region of convergence; and 2) require damped newton iterates for convergence.
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