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Numerical methods of solution for continuous countercurrent processes in the nonsteady state part II: Application of numerical methods
Author(s) -
Tan K. S.,
Spinner I. H.
Publication year - 1984
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690300512
Subject(s) - countercurrent exchange , nonlinear system , interpolation (computer graphics) , mathematics , numerical analysis , sequence (biology) , boundary value problem , expression (computer science) , mathematical analysis , computer science , thermodynamics , chemistry , physics , programming language , animation , biochemistry , computer graphics (images) , quantum mechanics
The numerical methods developed in Part I are applied to a number of important countercurrent processes. Examples involving simultaneous input disturbances, distributed disturbances, Langmuir isotherms, and nonlinear coupled boundary conditions are tested. These examples, if solved by previous methods, would have required interpolation or iterative procedures, but are solved efficiently and accurately by the explicit algorithms and coding sequence developed in Part I. The solutions for a linear system are in excellent agreement with the analytic solution. Numerical solutions obtained from explicit algorithms based on a nonlinear rate expression also shows very good agreement with the analytic solutions of Thomas (1944) for a fixed bed process. In both cases good accuracy is obtained with as few as sixteen increments.