Existence and uniqueness of the solution to holland's equations for a class of multicolumn distillation systems

  • Authors:

  • D. S. Billingsley

  • Affiliations:

  • Data Processing Division Scientific Center, Houston, Texas

  • Venue:
  • IBM Journal of Research and Development
  • Year:
  • 1972

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Abstract

The Holland equations for a multiunit system of distillation columns, interconnected so as to contain recycle loops, can be expressed as a matrix generalization of the Holland equations for a single complex column. Proof of the existence and uniqueness of a positive solution for the single-column case has previously been given. In this paper a proof is given for the case of a multiunit system containing one recycle loop.