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  2. School of Engineering
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  4. Publikationen School of Engineering
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dc.contributor.authorWorlitschek, Jörg-
dc.contributor.authorHocker, Thomas-
dc.contributor.authorMazzotti, Marco-
dc.date.accessioned2017-12-04T13:57:57Z-
dc.date.available2017-12-04T13:57:57Z-
dc.date.issued2005-09-
dc.identifier.issn0934-0866de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/1665-
dc.description.abstractThe interpretation of chord length distributions (CLDs) is essential in many fields and has been discussed by various authors. Here, the technique of the Focused Beam Reflectance Measurement (FBRM) is considered as on-line and in-situ measurement device of the CLD of particle dispersions and emulsions. Though useful in general, this measurement cannot be converted directly into a particle size distribution (PSD), unless the physics of the measurement method is described and accounted for. In this work we present a new tool to carry out such a conversion once the particle shape is known a priori and can be fixed, which is based on a two step procedure: (1) the computation of a matrix that converts the PSD of a population of particles with given shape into the corresponding CLD using a 3-dimensional geometric model; (2) the calculation of the PSD from the resulting linear matrix equation for the measured CLD. Here, the method of Projections onto Convex Sets (POCS) is applied to solve the PSD restoration problem, which is a mathematically ill-posed inverse problem. We study the effect of particle shape and matrix dimension on the ill-posed character of the inverse problem. A detailed error analysis of the CLD allows for a predictive description of a posteriori constraints in the POCS framework. We discuss the application of this method to the characterization of simulated test cases and experimentally obtained data.de_CH
dc.language.isoende_CH
dc.publisherWileyde_CH
dc.relation.ispartofParticle & Particle Systems Characterizationde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectPOCSde_CH
dc.subjectCLDde_CH
dc.subjectPSDde_CH
dc.subjectFBRMde_CH
dc.subject.ddc530: Physikde_CH
dc.titleRestoration of PSD from chord length distribution data using the method of projections onto convex setsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitute of Computational Physics (ICP)de_CH
dc.identifier.doi10.1002/ppsc.200400872de_CH
zhaw.funding.euNode_CH
zhaw.issue2de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end98de_CH
zhaw.pages.start81de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume22de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
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Worlitschek, J., Hocker, T., & Mazzotti, M. (2005). Restoration of PSD from chord length distribution data using the method of projections onto convex sets. Particle & Particle Systems Characterization, 22(2), 81–98. https://doi.org/10.1002/ppsc.200400872
Worlitschek, J., Hocker, T. and Mazzotti, M. (2005) ‘Restoration of PSD from chord length distribution data using the method of projections onto convex sets’, Particle & Particle Systems Characterization, 22(2), pp. 81–98. Available at: https://doi.org/10.1002/ppsc.200400872.
J. Worlitschek, T. Hocker, and M. Mazzotti, “Restoration of PSD from chord length distribution data using the method of projections onto convex sets,” Particle & Particle Systems Characterization, vol. 22, no. 2, pp. 81–98, Sep. 2005, doi: 10.1002/ppsc.200400872.
WORLITSCHEK, Jörg, Thomas HOCKER und Marco MAZZOTTI, 2005. Restoration of PSD from chord length distribution data using the method of projections onto convex sets. Particle & Particle Systems Characterization. September 2005. Bd. 22, Nr. 2, S. 81–98. DOI 10.1002/ppsc.200400872
Worlitschek, Jörg, Thomas Hocker, and Marco Mazzotti. 2005. “Restoration of PSD from Chord Length Distribution Data Using the Method of Projections onto Convex Sets.” Particle & Particle Systems Characterization 22 (2): 81–98. https://doi.org/10.1002/ppsc.200400872.
Worlitschek, Jörg, et al. “Restoration of PSD from Chord Length Distribution Data Using the Method of Projections onto Convex Sets.” Particle & Particle Systems Characterization, vol. 22, no. 2, Sept. 2005, pp. 81–98, https://doi.org/10.1002/ppsc.200400872.


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