Numerical Simulation of Band Propagation in Nonlinear Chromatography
- 1 August 1987
- journal article
- research article
- Published by Taylor & Francis in Separation Science and Technology
- Vol. 22 (8-10) , 1793-1833
- https://doi.org/10.1080/01496398708057614
Abstract
A model for the propagation of a finite concentration zone in a chroma-tographic column is discussed for the case of a single component sample. This model is based on the modern theory of nonlinear hyperbolic systems of partial differential equations. It accounts for the nonlinear effects due 1) to the thermodynamics of solute-stationary phase equilibrium (i.e., the nonlinearity of the equilibrium isotherm), 2) to the interaction between radial mass transfer and flow velocity (the sorption effect in gas chromatography), and 3) to the pressure gradient along the column (in gas chromatography). Numerical results are obtained by using the Godunov method. The column is divided into a largeKeywords
This publication has 28 references indexed in Scilit:
- Study of peak profiles in nonlinear gas chromatography: Application to the peak distortions observed with overloaded capillary columnsJournal of High Resolution Chromatography, 1985
- Theory of the propagation of finite concentration bands in gas chromatography. A numerical solution of the ideal problemThe Journal of Physical Chemistry, 1985
- Finite difference schemes for conservation lawsCommunications on Pure and Applied Mathematics, 1982
- Monotone difference approximations for scalar conservation lawsMathematics of Computation, 1980
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLESMathematics of the USSR-Sbornik, 1970
- Solutions in the large for nonlinear hyperbolic systems of equationsCommunications on Pure and Applied Mathematics, 1965
- Note on Gas Chromatographic InjectionNature, 1964
- Hyperbolic systems of conservation laws IICommunications on Pure and Applied Mathematics, 1957
- Weak solutions of nonlinear hyperbolic equations and their numerical computationCommunications on Pure and Applied Mathematics, 1954
- The Theory of ChromatographyJournal of the American Chemical Society, 1943