Abstract
In the lamellar mixing model, statistical treatments and average values of important variables are introduced near the end of the analysis, not at the beginning. A description based on a Lagrangian point of view of fluid mechanics, diffusion, and reaction in the neighborhood of a moving material particle is compared with other mixing approaches. Rational definitions for micro and macro mixing are specified. Usefulness of the lamellar model is demonstrated by (a) solution for concentrations field with multicomponent diffusion and n-linear chemical reactions in an arbitrary local flow field, (b) indication of criteria for the relative importance of molecular diffusion chemical reaction, local flow, and associated real time in each micro-flow element, (c) effect of real time in each micro-flow element. Potential uses include (a) perturbation schemes for analysis of mixing influence on complex chemical reactions, (b) use of chemical reactions to obtain average fluid mechanical information in complex motions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1377-1381 |
| Number of pages | 5 |
| Journal | Chemical Engineering Science |
| Volume | 35 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1980 |
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ASJC Scopus subject areas
- Chemistry(all)
- Chemical Engineering(all)
- Industrial and Manufacturing Engineering
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Lamellar mixing models for structured chemical reactions and their relationship to statistical models; Macro- and micromixing and the problem of averages. / Ottino, J. M.
In: Chemical Engineering Science, Vol. 35, No. 6, 1980, p. 1377-1381.Research output: Contribution to journal › Article
TY - JOUR
T1 - Lamellar mixing models for structured chemical reactions and their relationship to statistical models; Macro- and micromixing and the problem of averages
AU - Ottino, J. M.
PY - 1980
Y1 - 1980
N2 - In the lamellar mixing model, statistical treatments and average values of important variables are introduced near the end of the analysis, not at the beginning. A description based on a Lagrangian point of view of fluid mechanics, diffusion, and reaction in the neighborhood of a moving material particle is compared with other mixing approaches. Rational definitions for micro and macro mixing are specified. Usefulness of the lamellar model is demonstrated by (a) solution for concentrations field with multicomponent diffusion and n-linear chemical reactions in an arbitrary local flow field, (b) indication of criteria for the relative importance of molecular diffusion chemical reaction, local flow, and associated real time in each micro-flow element, (c) effect of real time in each micro-flow element. Potential uses include (a) perturbation schemes for analysis of mixing influence on complex chemical reactions, (b) use of chemical reactions to obtain average fluid mechanical information in complex motions.
AB - In the lamellar mixing model, statistical treatments and average values of important variables are introduced near the end of the analysis, not at the beginning. A description based on a Lagrangian point of view of fluid mechanics, diffusion, and reaction in the neighborhood of a moving material particle is compared with other mixing approaches. Rational definitions for micro and macro mixing are specified. Usefulness of the lamellar model is demonstrated by (a) solution for concentrations field with multicomponent diffusion and n-linear chemical reactions in an arbitrary local flow field, (b) indication of criteria for the relative importance of molecular diffusion chemical reaction, local flow, and associated real time in each micro-flow element, (c) effect of real time in each micro-flow element. Potential uses include (a) perturbation schemes for analysis of mixing influence on complex chemical reactions, (b) use of chemical reactions to obtain average fluid mechanical information in complex motions.
UR - http://www.scopus.com/inward/record.url?scp=0018965867&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0018965867&partnerID=8YFLogxK
U2 - 10.1016/0009-2509(80)85131-1
DO - 10.1016/0009-2509(80)85131-1
M3 - Article
AN - SCOPUS:0018965867
VL - 35
SP - 1377
EP - 1381
JO - Chemical Engineering Science
JF - Chemical Engineering Science
SN - 0009-2509
IS - 6
ER -