NUMERICAL SOLUTION OF MULTI-COMPONENT, PACKED TOWER DISTILLATION PROBLEMS

Abstract
Multi-component distillation in a packed tower is described by the usual first-order differential equations with boundary conditions at each end and feed addition in between. The equations for all components are coupled through the non-linear equilibrium relations. Centered finite difference equations are written to replace the differential equations. An iterative method is used for the non-linear portion of the equilibrium relations, thus uncoupling the equations for each component. The resulting pair of equations for a single component is solved, together with the boundary and feed conditions, by the tridiagonal algorithm. The method is simple to apply and efficient. Results agree well with previously published solutions of an example problem.

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