Modeling of Nonequilibrium Effects in Parametric Pumping

Gupta, Ramesh C.; Sweed, Norman H.

doi:10.1021/i160047a011

Cited by 16 publications

(3 citation statements)

References 17 publications

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“…The temperature at which the intraparticle diffusion coefficient was measured was not stated. Nevertheless, the value 5 X 10"6 cm2/s appears to be rather high when compared to our results (for washed resin) and does not agree with the overall (combined) mass transfer coefficient obtained by Gupta and Sweed (1973) from breakthrough measurements, whereas the present results compared quite favorably with the overall (combined) mass transfer coefficient measurement of Gupta and Sweed (1973).…”

Section: The Results Of Diffusion Studycontrasting

confidence: 99%

Sorption Equilibria and Rate Studies on Resinous Retardation Beads. 2. Rate Studies

Foo¹,

Rice²

1979

Ind. Eng. Chem. Fund.

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Dispersive forces which tend to limit mass transfer rates in sorption processes are studied singly and as a combined dissipation effect. Batch experiments are reported which demonstrate that solid phase diffusion within the resin is expected to be the rate-controlling step, taking values ranging from 0.34 X 10"7 to 3.7 X 7 cm2/s for temperature ranging from 10 to 50 °C, respectively. The activation energy for solid phase diffusion in the washed resin was found to be somewhat high, taking a value of 10.5 kcal/mol. Axial dispersion was determined independently using packed beds of inert particles equivalent in size to the active resin material. It is shown that axial dispersion coefficient varies linearly with velocity and is independent of temperature (<50 °C). Steady-state sorption experiments on a fixed bed are presented which confirm the contention that solid-phase diffusion is the rate-controlling step. It is demonstrated that axial dispersion does not influence the rate actually observed. Considering three simultaneous dissipation effects (dispersion, film transfer, and solid diffusion), it is shown that greater than 98% of the total resistance is attributable to solid-phase diffusion.

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Section: The Results Of Diffusion Studycontrasting

confidence: 99%

Sorption Equilibria and Rate Studies on Resinous Retardation Beads. 2. Rate Studies

Foo¹,

Rice²

1979

Ind. Eng. Chem. Fund.

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“…All the above systems can be considered as enriching or stripping sections. Complete fractionating systems, involving both enriching and stripping sections, with feed in between, and product withdrawal at both ends, have been studied by Horn and Lin (1969) and Gupta and Sweed ( 1973). Recently, Camero and Sweed (1976) use the non-linear equilibrium chromatography theory to analyze batch and open para-pumps.…”

Section: Conclusion and Significancementioning

confidence: 99%

Equilibrium staged parametric pumping: Part III. Open systems at steady‐state‐McCabe‐Thiele diagrams

Grévillot

1980

AIChE Journal

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The theory of equilibrium staged parametric pumps with discrete fluid transfers has been presented in previous papers for total reflux. Here, it is extended to open, fractionating systems, operating in cyclic steady state. The cases of and enriching section, a stripping section, and a complete fractionating apparatus are successively considered. Providing adequate variables are defined, the result is a diagram which plays the same role as the McCabe‐Thiele diagram in distillation. The optimal feed stage location, the minimum reflux, and the separation factor for given operating conditions are determined analytically and graphically in the case of linear equilibrium isotherms. The method is then generalized to non‐linear equilibria, particularly of constant relative volatility type.

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“…Different versions of the process have been described such as preparative‐scale separation of amino acids by using a thermal ion exchanger,8–10 adsorption of phenylalanine onto polymeric resins,11 separation of heavy metals by parametric pumping with variation of pH,12 adsorption of phenylalanine onto polymeric resins and operation of a parametric pumping unit,13 adsorptive separation by thermal parametric pumping and purification of aqueous phenolic solutions 14. Different mathematical models have been developed 15, 16. The low molecular weight aromatic compounds like benzene, toluene, and xylene are present in the 60–90 °C naphtha fractions 17.…”

Section: Introductionmentioning

confidence: 99%

Combined mode of operation for thermal parametric pumping

Ghasem

2003

J of Chemical Tech & Biotech

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In thermal parametric pumping, the temperature change can be imposed through the bed jacket (direct mode) or through temperature change of the fluid stream (recuperative mode). The process to be addressed here is thermal parametric pumping operating in a combined mode of operation by changing the temperature of the fluid stream before entering the packed bed through a heat exchanger (recuperative mode) at the same time as imposing a temperature change through the bed jacket (direct mode). Axial dispersion and the general non-linear form of the equilibrium isotherm were taken into account in the mathematical model used to verify the experimental results of separating a binary liquid mixture of a benzene/n-hexane/silica gel system.  2003 Society of Chemical Industry Keywords: parametric pumping; cyclic separation; adsorption; desorption

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Modeling of Nonequilibrium Effects in Parametric Pumping

Cited by 16 publications

References 17 publications

Sorption Equilibria and Rate Studies on Resinous Retardation Beads. 2. Rate Studies

Sorption Equilibria and Rate Studies on Resinous Retardation Beads. 2. Rate Studies

Equilibrium staged parametric pumping: Part III. Open systems at steady‐state‐McCabe‐Thiele diagrams

Combined mode of operation for thermal parametric pumping

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