Laminar dispersion in parallel plate sections of flowing systems used in analytical chemistry and chemical engineering

S.D. Kolev; Spas D. Kolev; W.E. van der Linden

doi:10.1016/S0003-2670(00)83051-2

Laminar dispersion in parallel plate sections of flowing systems used in analytical chemistry and chemical engineering

S.D. Kolev, Spas D. Kolev, W.E. van der Linden

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

An exact solution of the convective-diffusion equation for fully developed parallel plate laminar flow was obtained. It allows the derivation of theoretical relationships for calculating the Peclet number in the axially dispersed plug flow model and the concentration distribution perpendicular to the direction of the flow, provided that the corresponding solution of this model is known. The convective-diffusion equation was solved numerically using the implicit alternating-direction finite difference method. It was found that the theory developed is valid for Fourier numbers greater than 1.0. The results obtained can be used for the mathematical modelling of parallel plate process heat and mass exchangers, haemodialysers and flow-injection and continuous-flow manifolds with on-line dialysis units with parallel plate geometry.

Original language	Undefined
Pages (from-to)	51-60
Number of pages	9
Journal	Analytica chimica acta
Volume	247
Issue number	1
DOIs	https://doi.org/10.1016/S0003-2670(00)83051-2
Publication status	Published - 1991

Keywords

METIS-106668
IR-12448

Access to Document

10.1016/S0003-2670(00)83051-2

Kolev91laminar

Cite this

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title = "Laminar dispersion in parallel plate sections of flowing systems used in analytical chemistry and chemical engineering",

abstract = "An exact solution of the convective-diffusion equation for fully developed parallel plate laminar flow was obtained. It allows the derivation of theoretical relationships for calculating the Peclet number in the axially dispersed plug flow model and the concentration distribution perpendicular to the direction of the flow, provided that the corresponding solution of this model is known. The convective-diffusion equation was solved numerically using the implicit alternating-direction finite difference method. It was found that the theory developed is valid for Fourier numbers greater than 1.0. The results obtained can be used for the mathematical modelling of parallel plate process heat and mass exchangers, haemodialysers and flow-injection and continuous-flow manifolds with on-line dialysis units with parallel plate geometry.",

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TY - JOUR

T1 - Laminar dispersion in parallel plate sections of flowing systems used in analytical chemistry and chemical engineering

AU - Kolev, S.D.

AU - Kolev, Spas D.

AU - van der Linden, W.E.

PY - 1991

Y1 - 1991

N2 - An exact solution of the convective-diffusion equation for fully developed parallel plate laminar flow was obtained. It allows the derivation of theoretical relationships for calculating the Peclet number in the axially dispersed plug flow model and the concentration distribution perpendicular to the direction of the flow, provided that the corresponding solution of this model is known. The convective-diffusion equation was solved numerically using the implicit alternating-direction finite difference method. It was found that the theory developed is valid for Fourier numbers greater than 1.0. The results obtained can be used for the mathematical modelling of parallel plate process heat and mass exchangers, haemodialysers and flow-injection and continuous-flow manifolds with on-line dialysis units with parallel plate geometry.

AB - An exact solution of the convective-diffusion equation for fully developed parallel plate laminar flow was obtained. It allows the derivation of theoretical relationships for calculating the Peclet number in the axially dispersed plug flow model and the concentration distribution perpendicular to the direction of the flow, provided that the corresponding solution of this model is known. The convective-diffusion equation was solved numerically using the implicit alternating-direction finite difference method. It was found that the theory developed is valid for Fourier numbers greater than 1.0. The results obtained can be used for the mathematical modelling of parallel plate process heat and mass exchangers, haemodialysers and flow-injection and continuous-flow manifolds with on-line dialysis units with parallel plate geometry.

KW - METIS-106668

KW - IR-12448

U2 - 10.1016/S0003-2670(00)83051-2

DO - 10.1016/S0003-2670(00)83051-2

M3 - Article

SN - 0003-2670

VL - 247

SP - 51

EP - 60

JO - Analytica chimica acta

JF - Analytica chimica acta

IS - 1

ER -