Analytical study of effects of finger-growth velocity on reaction characteristics of reactive miscible viscous fingering by using a convection-diffusion-reaction model

Yuichiro Nagatsu, Toshihisa Ueda

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Reactive miscible viscous fingering occurs when a reactive and miscible less-viscous liquid displaces a more-viscous liquid. Effects of bulk finger-growth velocity on reaction characteristics of miscible viscous fingering with a chemical reaction were studied analytically by using a convection-diffusion-reaction model. The model assumes the existence of a distinct interface between both liquids, assumes the existence of a two-dimensional, steady, stagnated flow field in the less-viscous liquid, and assumes an infinite chemical reaction rate. The model was then used to determine the reaction characteristics, such as the location of the reaction surface and the profile of the product, as functions of the velocity and initial reactant concentrations. The results reveal that the effects of the velocity on the reaction characteristics can be divided into low-, intermediate-, and high-velocity regions. In the low-velocity region, the reaction characteristics strongly depend on the reactant concentrations. In the intermediate-velocity region, the dependence of the reaction characteristics on the reactant concentrations decreases with increasing velocity. In the high-velocity region, the reaction characteristics are nearly independent of the reactant concentrations. Experiments confirm the existence of these three velocity regions predicted by the model.

Original languageEnglish
Pages (from-to)3817-3826
Number of pages10
JournalChemical Engineering Science
Volume59
Issue number18
DOIs
Publication statusPublished - 2004 Sep

Fingerprint

Liquids
Chemical reactions
Convection
Surface reactions
Steady flow
Reaction rates
Flow fields
Experiments

Keywords

  • Convection-diffusion-reaction model
  • Convective transport
  • Mass transfer
  • Mathematical modeling
  • Transport process
  • Viscous fingering

ASJC Scopus subject areas

  • Chemical Engineering(all)

Cite this

Analytical study of effects of finger-growth velocity on reaction characteristics of reactive miscible viscous fingering by using a convection-diffusion-reaction model. / Nagatsu, Yuichiro; Ueda, Toshihisa.

In: Chemical Engineering Science, Vol. 59, No. 18, 09.2004, p. 3817-3826.

Research output: Contribution to journalArticle

@article{2c868d7cd20f4fdc9e74aa7a4fddc360,
title = "Analytical study of effects of finger-growth velocity on reaction characteristics of reactive miscible viscous fingering by using a convection-diffusion-reaction model",
abstract = "Reactive miscible viscous fingering occurs when a reactive and miscible less-viscous liquid displaces a more-viscous liquid. Effects of bulk finger-growth velocity on reaction characteristics of miscible viscous fingering with a chemical reaction were studied analytically by using a convection-diffusion-reaction model. The model assumes the existence of a distinct interface between both liquids, assumes the existence of a two-dimensional, steady, stagnated flow field in the less-viscous liquid, and assumes an infinite chemical reaction rate. The model was then used to determine the reaction characteristics, such as the location of the reaction surface and the profile of the product, as functions of the velocity and initial reactant concentrations. The results reveal that the effects of the velocity on the reaction characteristics can be divided into low-, intermediate-, and high-velocity regions. In the low-velocity region, the reaction characteristics strongly depend on the reactant concentrations. In the intermediate-velocity region, the dependence of the reaction characteristics on the reactant concentrations decreases with increasing velocity. In the high-velocity region, the reaction characteristics are nearly independent of the reactant concentrations. Experiments confirm the existence of these three velocity regions predicted by the model.",
keywords = "Convection-diffusion-reaction model, Convective transport, Mass transfer, Mathematical modeling, Transport process, Viscous fingering",
author = "Yuichiro Nagatsu and Toshihisa Ueda",
year = "2004",
month = "9",
doi = "10.1016/j.ces.2004.05.019",
language = "English",
volume = "59",
pages = "3817--3826",
journal = "Chemical Engineering Science",
issn = "0009-2509",
publisher = "Elsevier BV",
number = "18",

}

TY - JOUR

T1 - Analytical study of effects of finger-growth velocity on reaction characteristics of reactive miscible viscous fingering by using a convection-diffusion-reaction model

AU - Nagatsu, Yuichiro

AU - Ueda, Toshihisa

PY - 2004/9

Y1 - 2004/9

N2 - Reactive miscible viscous fingering occurs when a reactive and miscible less-viscous liquid displaces a more-viscous liquid. Effects of bulk finger-growth velocity on reaction characteristics of miscible viscous fingering with a chemical reaction were studied analytically by using a convection-diffusion-reaction model. The model assumes the existence of a distinct interface between both liquids, assumes the existence of a two-dimensional, steady, stagnated flow field in the less-viscous liquid, and assumes an infinite chemical reaction rate. The model was then used to determine the reaction characteristics, such as the location of the reaction surface and the profile of the product, as functions of the velocity and initial reactant concentrations. The results reveal that the effects of the velocity on the reaction characteristics can be divided into low-, intermediate-, and high-velocity regions. In the low-velocity region, the reaction characteristics strongly depend on the reactant concentrations. In the intermediate-velocity region, the dependence of the reaction characteristics on the reactant concentrations decreases with increasing velocity. In the high-velocity region, the reaction characteristics are nearly independent of the reactant concentrations. Experiments confirm the existence of these three velocity regions predicted by the model.

AB - Reactive miscible viscous fingering occurs when a reactive and miscible less-viscous liquid displaces a more-viscous liquid. Effects of bulk finger-growth velocity on reaction characteristics of miscible viscous fingering with a chemical reaction were studied analytically by using a convection-diffusion-reaction model. The model assumes the existence of a distinct interface between both liquids, assumes the existence of a two-dimensional, steady, stagnated flow field in the less-viscous liquid, and assumes an infinite chemical reaction rate. The model was then used to determine the reaction characteristics, such as the location of the reaction surface and the profile of the product, as functions of the velocity and initial reactant concentrations. The results reveal that the effects of the velocity on the reaction characteristics can be divided into low-, intermediate-, and high-velocity regions. In the low-velocity region, the reaction characteristics strongly depend on the reactant concentrations. In the intermediate-velocity region, the dependence of the reaction characteristics on the reactant concentrations decreases with increasing velocity. In the high-velocity region, the reaction characteristics are nearly independent of the reactant concentrations. Experiments confirm the existence of these three velocity regions predicted by the model.

KW - Convection-diffusion-reaction model

KW - Convective transport

KW - Mass transfer

KW - Mathematical modeling

KW - Transport process

KW - Viscous fingering

UR - http://www.scopus.com/inward/record.url?scp=4143096891&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4143096891&partnerID=8YFLogxK

U2 - 10.1016/j.ces.2004.05.019

DO - 10.1016/j.ces.2004.05.019

M3 - Article

AN - SCOPUS:4143096891

VL - 59

SP - 3817

EP - 3826

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

IS - 18

ER -