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Evaluating the quality of a mixture: degree of homogeneity and scale of segregation

Bothe, D.
Bockhorn, H. and Warnecke, H.-J. and Peukert, W. and Mewes, D. (eds.) (2010):
Evaluating the quality of a mixture: degree of homogeneity and scale of segregation.
In: Heat and Mass Transfer, Springer, pp. 17-35, [Book Section]

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.

Item Type: Book Section
Erschienen: 2010
Editors: Bockhorn, H. and Warnecke, H.-J. and Peukert, W. and Mewes, D.
Creators: Bothe, D.
Title: Evaluating the quality of a mixture: degree of homogeneity and scale of segregation
Language: English
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.

Title of Book: Heat and Mass Transfer
Series Name: Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation
Publisher: Springer
Uncontrolled Keywords: pecific contact area - intensity of mixing - integral length scales - Schmidt number dependence - decay of variance
Divisions: Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
04 Department of Mathematics > Mathematical Modelling and Analysis
UNSPECIFIED
Zentrale Einrichtungen
04 Department of Mathematics
Exzellenzinitiative
Exzellenzinitiative > Clusters of Excellence
Date Deposited: 05 Apr 2011 12:32
Identification Number: doi:10.1007/978-3-642-04549-3_2
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