A mathematical model of isotope separation by displacement band chromatography
Technical Report
·
OSTI ID:6358611
A mathematical model of isotope separation by displacement band chromatography has been developed. The chromatographic column is represented by two homogeneous phases intimately contacting each other. The model is one dimensional and based upon a differential mass balance within the band. The model assumes instantaneous local equilibrium of the ion exchange reactions within the band and total reflux at the band boundaries. The resultant partial differential equation is evaluated numerically by an implicit finite difference method. All the parameters needed in the model are known experimentally except the effective diffusivity. The effective diffusivity needed in the model may be approximated from experimental studies of flow through packed columns. The effect of interphase mass transfer resistance on the separation process may be represented in the model by the use of an appropriate effective diffusivity. The model satisfactorily predicts the transient separation of nitrogen isotopes by displacement band chromatography. 13 refs., 6 figs.
- Research Organization:
- EG and G Mound Applied Technologies, Miamisburg, OH (USA)
- DOE Contract Number:
- AC04-88DP43495
- OSTI ID:
- 6358611
- Report Number(s):
- MLM-3576; ON: DE89007600
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400202* -- Isotope Effects
Isotope Exchange
& Isotope Separation
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
990230 -- Mathematics & Mathematical Models-- (1987-1989)
CHROMATOGRAPHY
DESIGN
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FORTRAN
ION EXCHANGE CHROMATOGRAPHY
ISOTOPE SEPARATION
ISOTOPES
ITERATIVE METHODS
MATHEMATICAL MODELS
NITROGEN ISOTOPES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING LANGUAGES
SEPARATION PROCESSES
400202* -- Isotope Effects
Isotope Exchange
& Isotope Separation
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
990230 -- Mathematics & Mathematical Models-- (1987-1989)
CHROMATOGRAPHY
DESIGN
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FORTRAN
ION EXCHANGE CHROMATOGRAPHY
ISOTOPE SEPARATION
ISOTOPES
ITERATIVE METHODS
MATHEMATICAL MODELS
NITROGEN ISOTOPES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING LANGUAGES
SEPARATION PROCESSES