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A statistical analysis of certain mixing problems

โœ Scribed by S. Katz


Publisher
Elsevier Science
Year
1958
Tongue
English
Weight
583 KB
Volume
9
Category
Article
ISSN
0009-2509

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โœฆ Synopsis


The problem of smoothing out concentration fluctuations by passage through cascades of stirred mixers is formulated from the point of view of probability. The formulation is in terms of the theory of random processes, and techniques based on covariance functions are introduced side by side with spectral techniques. The two methods are illustrated by application to various particular problems, some of which have previously been treated by DANCKWERTS ([4], [5]) and others. R&nun&-Les probleme de la repartition uniforme des fluctuations de concentration, par passage ir travers une serie de mdlangeurs agites, est formule du point de vue de la probabiliti. La formule est etablie B partir de la theorie des repartitions desordonnees. Des techniques ayant pour base les fonctions covariantes sont p&sent&es en relation avec des techniques spectrales. Les deux methodes sont illustmes par leur application ZL divers problemes ; certains d'entre eux ayant deja et& discutes par DANCKWERTS [4], [5] et d'autres auteurs. Zusammenfassnng-Das Problem, Konzentrationsschwankungen beim Durchgang durch Riihrekesselkaskaden auszugleichen, wird vom Standpunkt der Wahrscheinlichkeit formuliert. Es wird die Theorie der Zufallsprozesse herangezogen und Rechenmethoden, die auf kovarianten Funktionen beruhen, werden zusammen mit Spektralmethoden angewandt. Diese beiden Methoden werden an verschiedenen Anwendungsfiillen demonstriert, von denen einige bereits durch Danckwerts ([4,] [a]) und andere behandelt worden sind.


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