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Existence and Uniqueness of the Solution to Holland's Equations for a Class of Multicolumn Distillation Systems

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1 Author(s)
Billingsley, D.S. ; Data Processing Division Scientific Center, 6900 Fannin St., Houston, Texas 77001, USA

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.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

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IBM Journal of Research and Development  (Volume:16 ,  Issue: 5 )