Abstract
Abstract Nonlinear representation of equilibrium phenomena in azeotropic distillation, extractive distillation and liquid extraction has been shown to result in simulations that have as many as three concentration and temperature profiles that meet the same process specifications. Continuation algorithms are the only assured technique of indicating this multiplicity and solving these highly nonlinear problems. Unfortunately, the robustness of solution is accompanied by increased computation. New procedures that increase the efficiency of these algorithms are documented in this paper. Local differential geometry is exploited during the continuation procedure to provide a more accurate prediction of the solution trajectory. A rigorous method is documented for accurate prediction of the unit tangent, principal unit normal, and the curvature of the solution path. The resulting computational procedure is significantly more efficient than other continuation methods. It is shown that the effects of increased acc...
Published Version
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