Bothe, D.
Hrsg.: Bockhorn, H. ; Warnecke, H.-J. ; Peukert, W. ; Mewes, D. (2010)
Evaluating the quality of a mixture: degree of homogeneity and scale of segregation.
In: Heat and Mass Transfer
doi: 10.1007/978-3-642-04549-3_2
Buchkapitel, Bibliographie
Kurzbeschreibung (Abstract)
he evaluation of mixing requires measures for the quality of mixtures. Integral measures like the intensity of segregation are advantageous for practical purposes and such variance-based measures are shown to be especially meaningful in the context of reactive mixing. But the variance is insensitive to the scales on which segregation occurs, hence it is complemented by an integral scale of segregation. The latter is closely related to the concept of contact area and can be efficiently computed using a formula from geometric measure theory. This integral scale of segregation is also characterized by the rate at which the minimizing-total-variation-flow from image processing would alter the intensity of segregation. Applied to secondary flow mixing in a T-shaped micro-mixer, the dependence of the integral scale of segregation shows a new type of dependence on the Schmidt number, while the smallest length scales display the kind of dependence known from the Batchelor’s length scale.
| Typ des Eintrags: | Buchkapitel |
|---|---|
| Erschienen: | 2010 |
| Herausgeber: | Bockhorn, H. ; Warnecke, H.-J. ; Peukert, W. ; Mewes, D. |
| Autor(en): | Bothe, D. |
| Art des Eintrags: | Bibliographie |
| Titel: | Evaluating the quality of a mixture: degree of homogeneity and scale of segregation |
| Sprache: | Englisch |
| Publikationsjahr: | 2010 |
| Verlag: | Springer |
| Buchtitel: | Heat and Mass Transfer |
| Reihe: | Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation |
| DOI: | 10.1007/978-3-642-04549-3_2 |
| Kurzbeschreibung (Abstract): | he evaluation of mixing requires measures for the quality of mixtures. Integral measures like the intensity of segregation are advantageous for practical purposes and such variance-based measures are shown to be especially meaningful in the context of reactive mixing. But the variance is insensitive to the scales on which segregation occurs, hence it is complemented by an integral scale of segregation. The latter is closely related to the concept of contact area and can be efficiently computed using a formula from geometric measure theory. This integral scale of segregation is also characterized by the rate at which the minimizing-total-variation-flow from image processing would alter the intensity of segregation. Applied to secondary flow mixing in a T-shaped micro-mixer, the dependence of the integral scale of segregation shows a new type of dependence on the Schmidt number, while the smallest length scales display the kind of dependence known from the Batchelor’s length scale. |
| Freie Schlagworte: | pecific contact area - intensity of mixing - integral length scales - Schmidt number dependence - decay of variance |
| Fachbereich(e)/-gebiet(e): | Exzellenzinitiative Exzellenzinitiative > Exzellenzcluster 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis 04 Fachbereich Mathematik > Analysis > Mathematische Modellierung und Analysis Zentrale Einrichtungen Exzellenzinitiative > Exzellenzcluster > Center of Smart Interfaces (CSI) 04 Fachbereich Mathematik > Mathematische Modellierung und Analysis (MMA) |
| Hinterlegungsdatum: | 05 Apr 2011 12:32 |
| Letzte Änderung: | 07 Feb 2024 11:55 |
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