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

By Tingyue Gu

Tingyue Gu's moment version offers a finished set of nonlinear multicomponent liquid chromatography (LC) types for varied different types of LC, corresponding to adsorption, dimension exclusion, ion-exchange, reversed-phase, affinity, isocratic/gradient elution and axial/radial circulation LC. a lot has complex because the first version of this booklet and the author's software program, defined right here, is now used for instructing and learn in 32 various nations. This e-book comes including an entire software program package deal with graphical person interface for private desktops, provided loose for tutorial purposes. also, this e-book presents specified tools for parameter estimation of mass move coefficients, mattress voidage, particle porosity and isotherms. the writer provides examples of the way to exploit the software program for predicitons and scale-up. unlike the 1st version, authors should not have to house advanced math. as a substitute, they concentrate on how one can receive a couple of parameters for simulation and the way to match simulation effects with experimental facts. After interpreting the distinctive descriptions within the booklet, a reader is ready to use the simulation software program to enquire chromatographic habit with no doing genuine experiments. This booklet is geared toward readers who're attracted to studying approximately LC behaviors and at those that are looking to scale up LC for preparative- and large-scale purposes. either educational group of workers and commercial practitioners can enjoy the use of the publication. This re-creation comprises:
- New versions and software program for pellicular (cored) beads in liquid chromatography
- creation of basic software program (with graphical person interface)
- designated descriptions on tips to 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
- a number of genuine examples utilizing the version for product improvement and scale-up
- up-to-date literature review

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Additional resources for Mathematical Modeling and Scale-Up of Liquid Chromatography: With Application Examples

Example text

A true multicomponent case is almost always nonlinear, since no linear isotherms are suitable to describe true multicomponent adsorptions that involve interactions among different components. For such a nonlinear multicomponent model, there is no analytical solution. The model equations must be solved numerically. 3 shows the strategy of the numerical method used to solve the PDE system in the model. The bulk-fluid phase and the particle phase equations are first discretized using the FE and the OC methods, respectively.

Three dimensionless mass transfer parameters are introduced above. They are the well-known Peclet number for axial dispersion (PeL), Biot number for mass transfer (Bi), and the specially introduced η number for LC. Dimensionless parameter ξ can be calculated from Bi and η. The effects of PeL, Bi, and η on chromatographic concentration profiles are discussed in Chap. 4. The feed profile Cfi(τ)/C0i at z ¼ 0 in Eq. 13) determines the mode of the LC operations. , breakthrough analysis), Cfi(τ)/C0i  1.

21b) is most commonly used in LC. The measurement of a single-component Langmuir isotherm can be done by performing frontal adsorption on a mini column. If the Langmuir isotherm binding term in Eq. 1) is not dropped, Eq. 8) should be modified as shown below with an extra term as shown below: À Á a CA Á εb ¼ εb þ ð1 À εb Þεp þ ð1 À εb Þ 1 À εp 1 þ bC0 ð4:18Þ 44 4 Parameter Estimation For a multicomponent system, the equation above can be re-written as À Á CA Á εb ¼ εb þ ð1 À εb Þεp þ ð1 À εb Þ 1 À εp bi C 1 Ns X 1þ b j C0 j ð4:19Þ j¼1 When εb and εp are known, performing two frontal (breakthrough) analyses with two different solute concentrations in the mobile phase gives two CA values.

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