Persistent Link:
http://hdl.handle.net/10150/185092
Title:
Design and analysis of mixing machines.
Author:
Mazer, Arthur Allen.
Issue Date:
1990
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The mixing of compounds in a highly viscous medium is important in many industrial settings; from food processing to the manufacturing of rocket fuel and drugs. Experts in mixing have long been aware of how things become mixed in a nonturbulent flow, but there has been little quantitative analysis of such mixing processes. As recent developments in chaos theory have found their way into the engineering literature, there have been some attempts to apply these ideas toward numerically quantifying nonturbulent mixing processes. Chaos theory is a new name for an old subject in mathematics, dynamical systems theory which includes ergodic theory. By examining the older literature of ergodic theory, one can determine what is necessary to quantify nonturbulent mixing processes. This has led to the methods which are suggested in this dissertation. After discussing some principles of ergodic theory, the design of a bladeless mixer is presented. The philosophy of this design is to adopt an abstract mathematically mixing system around which to design and build an actual machine. Ergodic theory is then used to develop methods for quantifying nonturbulent mixing processes by both experimental and numerical means. These methods are then applied to the bladeless mixer.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Applied mechanics and materials
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Vincent, Tom

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleDesign and analysis of mixing machines.en_US
dc.creatorMazer, Arthur Allen.en_US
dc.contributor.authorMazer, Arthur Allen.en_US
dc.date.issued1990en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe mixing of compounds in a highly viscous medium is important in many industrial settings; from food processing to the manufacturing of rocket fuel and drugs. Experts in mixing have long been aware of how things become mixed in a nonturbulent flow, but there has been little quantitative analysis of such mixing processes. As recent developments in chaos theory have found their way into the engineering literature, there have been some attempts to apply these ideas toward numerically quantifying nonturbulent mixing processes. Chaos theory is a new name for an old subject in mathematics, dynamical systems theory which includes ergodic theory. By examining the older literature of ergodic theory, one can determine what is necessary to quantify nonturbulent mixing processes. This has led to the methods which are suggested in this dissertation. After discussing some principles of ergodic theory, the design of a bladeless mixer is presented. The philosophy of this design is to adopt an abstract mathematically mixing system around which to design and build an actual machine. Ergodic theory is then used to develop methods for quantifying nonturbulent mixing processes by both experimental and numerical means. These methods are then applied to the bladeless mixer.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectApplied mechanics and materialsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorVincent, Tomen_US
dc.contributor.committeememberBayly, Bruceen_US
dc.contributor.committeememberNikravesh, Parvizen_US
dc.contributor.committeememberRychlik, Mareken_US
dc.identifier.proquest9028165en_US
dc.identifier.oclc708386477en_US
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