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Assessment of the mean and variance of the random regular transmittance through a dispersion of large cylinders using numerical simulations
2008 (English)In: Applied Optics, ISSN 1559-128X, E-ISSN 2155-3165, Vol. 47, no 7, 993-1001 p.Article in journal (Refereed) Published
Abstract [en]

In two previous papers [J. Opt. Soc. Am. A 15, 1698 (1998); J. Opt. Soc. Am. A 16, 2737 (1999)] the theory of fluctuations in the regular transmittance T through a bowing dispersion of large slender cylindrical particles was presented. The theory covers, among other things, expressions for the expected value AT and the variance sigma(2)(T) of T in the two extreme cases when the cylinders are much shorter or much longer than the diameter of the optical beam used. Intermediate lengths were not treated. Numerical simulation is used to demonstrate the random behavior of T for intermediate cylinder lengths. The simulation results are consistent with the theory and provide a reliable estimate of the measurements produced by this analysis process. The result of the simulation is summarized as a fitted Bezier function model. The advantage of the simulation lies primarily in estimating measurement errors caused by the presence of intermediate length particles in measurement applications.

Place, publisher, year, edition, pages
2008. Vol. 47, no 7, 993-1001 p.
National Category
Production Engineering, Human Work Science and Ergonomics
Identifiers
URN: urn:nbn:se:kth:diva-19424ISI: 000254674000016OAI: oai:DiVA.org:kth-19424DiVA: diva2:337582
Note
QC 20100806Available from: 2010-08-06 Created: 2010-08-06 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Particle Measurements Using Fluctuations in the Regular Transmittance of Light Through a Particle Dispersion: Concentration and Particles size - Theory, Measurement Principles and Applications for Pulp and Paper Production
Open this publication in new window or tab >>Particle Measurements Using Fluctuations in the Regular Transmittance of Light Through a Particle Dispersion: Concentration and Particles size - Theory, Measurement Principles and Applications for Pulp and Paper Production
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The regular transmittance of light or similar radiation through a flowing suspension of particles fluctuates because of the random occurrence of particles in the beam.In the work presented here, a theory for this fluctuating behaviour with the emphasison dispersions of mm-length slender cylindrical particles having circular crosssections is given. The particles in question are wood pulp fibres, which as a first approximation are considered to have a cylinder shape. Four possible measurementprinciples are described theoretically and experimentally. The four principles are for the measurement of concentration, length distribution characterized as lengthclasses, mean length, and mean width. The usefulness in industrial process monitoring of two of these principles is exemplified with pulp measurements. In order to estimate model errors, numerical simulations were used. Although other techniques such as image analysis may compete, the technique presented here is attractive because of the simplicity of the measurement device used.

Place, publisher, year, edition, pages
Stockholm: KTH, 2009. xxv, 111 p.
Series
Trita-IIP, ISSN 1650-1888 ; 09:05
Keyword
Particle concentration, Particle size, Cylindrical particles, Large particles, Cellulose fibres, Wood pulp fibres, Suspensions, Particle length, Particle length distribution, Particle width
National Category
Production Engineering, Human Work Science and Ergonomics
Identifiers
urn:nbn:se:kth:diva-10639 (URN)978-91-7415-254-8 (ISBN)
Public defence
2009-06-15, Sal M311, KTH, Brinellvägen 68,, Stockholm, 10:00 (English)
Opponent
Supervisors
Note
QC 20100806Available from: 2009-06-09 Created: 2009-06-09 Last updated: 2010-08-06Bibliographically approved

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