1971/01/01 by Leonard M. Naphtali, Donald P. Sandholm · 3 citations
Chemical Engineering · Chemistry · Engineering · Mathematics · #Advanced Physical and Chemical Molecular Interactions #Applied mathematics #Block (permutation group theory) #Computer science #Field-Flow Fractionation Techniques #Geometry #Linearization #Mathematical optimization #Mathematics #Newton's method #Nonlinear system #Physics #Separation (statistics) #Set (abstract data type) #Simple (philosophy) #Thermodynamic properties of mixtures #Tridiagonal matrix
paper · doi:10.1002/aic.690170130
openalex publication_date 1971/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26
Abstract A new approach to separation calculations has been developed which has many practical advantages. The equations of conservation of mass and energy and of equilibrium are grouped by stage and then linearized. The resulting set of equations has a block‐tridiagonal structure which permits solution by a simple technique. Thus a new way to apply the Newton‐Raphson technique to separation calculations is devised. The method has been tried on a number of problems chosen to exhibit characteristics which cause other solution technique to fail. Most problems are solved with ten iterations or less.