Mathematical Modeling and Scale-Up of Liquid Chromatography: by Tingyue Gu

By Tingyue Gu

Tingyue Gu's moment variation offers a accomplished set of nonlinear multicomponent liquid chromatography (LC) types for varied different types of LC, equivalent to adsorption, measurement exclusion, ion-exchange, reversed-phase, affinity, isocratic/gradient elution and axial/radial movement LC. a lot has complicated because the first version of this booklet and the author's software program, defined right here, is now used for educating and examine in 32 various nations. This e-book comes including an entire software program package deal with graphical person interface for private pcs, provided loose for educational purposes. also, this publication offers specified equipment for parameter estimation of mass move coefficients, mattress voidage, particle porosity and isotherms. the writer offers examples of the way to exploit the software program for predicitons and scale-up. unlike the 1st variation, authors don't have to house complex math. as a substitute, they concentrate on tips to receive a couple of parameters for simulation and the way to check simulation effects with experimental facts. After analyzing the specific descriptions within the booklet, a reader is ready to use the simulation software program to enquire chromatographic habit with no doing real experiments. This publication is aimed toward readers who're drawn to studying approximately LC behaviors and at those that are looking to scale up LC for preparative- and large-scale functions. either educational group of workers and commercial practitioners can enjoy the use of the ebook. This new version contains:
- New versions and software program for pellicular (cored) beads in liquid chromatography
- creation of elementary software program (with graphical person interface)
- distinctive descriptions on how one can use the software program
- step by step directions on parameter estimation for the models
- New mass-transfer correlations for parameter estimation
- Experimental equipment for parameter estimation
- numerous real examples utilizing the version for product improvement and scale-up
- up-to-date literature review

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Extra info for Mathematical Modeling and Scale-Up of Liquid Chromatography: With Application Examples

Sample text

Index ¼ 7 same as index ¼ 6, but sample is in an inert solution. If the user desires other forms of operation, the user may change the initial conditions in the MAIN program, and the natural boundary condition (NBC) in the subroutine “fcn” in the Fortran 77 source code accordingly. The NBC is linked to the column feed profiles of all components. Such changes are quite easy to make. The input data file for the Fortran code contains the number of components, elements and interior collocation points, process index, time control data, dimensionless mass transfer parameters, and isotherm parameters.

2000, matching the value of sample size τimp. It is shown in Eq. 35) that the (PBi)jz ¼ 1 value can be set to zero if the PeLi values are large. 12 has the same conditions as Fig. 9, except that the Peclet number in Fig. 12 is 300, which is much larger than that in Fig. 9. 12 shows that the differences are quite small using the Danckwerts boundary condition vs. using the alternative boundary condition at the column exit when the Peclet number is not very small. 8 1 Dimensionless z Fig. 02 0 0 5 10 15 20 Dimensionless Time Fig.

The column exit (z ¼ 1) concentrations in Fig. 2 match those in Fig. 4 for their respective dimensionless times. It should be noted that the peak sequence and skewness in the two figures are reversed in the two figures. FOR has toà be rewritten to provide (∂gi/∂cpj) values. gi ¼ 1 À εp cpi þ εp cpi ; in which cpi is related to the isotherm. Of course, the input of the Fortran 77 code also needs to be modified to receive the new isotherm parameters. All the modifications should be rather straightforward to an experienced person.

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