Evaluating the Nakajima et al. model for rectangular-aperture screens |
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| Authors: | A. Dehghani A. J. Monhemius R. J. Gochin |
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| Affiliation: | 1. Mining Engineering Department, Yazd University, Yazd, Iran;2. Department of Earth Science and Engineering, Royal School of Mines, Imperial College, London SW7 2BP, UK;1. KU Leuven, Department of Mechanical Engineering, Division PMA, Celestijnenlaan 300B - Box 2420, B-3001, Leuven, Belgium;2. Flanders Make, Oude Diestersebaan 133, B-3920, Lommel, Belgium;3. OCAS NV, Pres. J.F. Kennedylaan 3, B-9060 Zelzate, Belgium;1. Department of Chemical and Biochemical Engineering, University of Western Ontario, London, Ontario N6A 5B9, Canada;2. Department of Mechanical and Materials Engineering, University of Western Ontario, London, Ontario N6A 5B9, Canada;3. Key Laboratory of Low-grade Energy Utilization Technologies and Systems (Chongqing University), Ministry of Education, Chongqing 400044, PR China;1. Department of Plant Genetics, Breeding and Biotechnology, Faculty of Horticulture, Biotechnology and Landscape Architecture, Warsaw University of Life Sciences, Nowoursynowska Street 159, 02-776 Warsaw, Poland;2. The Franciszek Górski Institute of Plant Physiology, Polish Academy of Sciences, Niezapominajek Street 21, 30-239 Cracow, Poland;3. Department of Botany, Faculty of Agriculture and Biology, Warsaw University of Life Sciences, Nowoursynowska Street 159, 02-776 Warsaw, Poland;1. IFTS, Rue Marcel Pagnol, 47510 Foulayronnes, France;2. I2M (CNRS UMR 5295), Univ. Bordeaux et Arts et Métiers ParisTech, 33400 Talence, France;1. Division of Trauma and Surgical Critical Care, Vanderbilt University, Nashville, TN;2. Division of Neonatology, Vanderbilt University, Nashville, TN;3. Department of Pathology, Microbiology, and Immunology, Vanderbilt University, Nashville, TN;4. Molecular Sensing Inc, Ohio University, Athens, OH;5. Department of Mathematics, Ohio University, Athens, OH |
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| Abstract: | Nakajima et al. [Trans. Inst. Mining Metall. 87 (1978) C194] developed a method to measure the shape distribution of particles in terms of their size and thickness. This method was later extended to include models for square, rectangular, and circular aperture screens. In this project, the empirical equation for the probability of particles passing through the rectangular aperture screen in the Nakajima et al. model is replaced with a “basic probability” model and the results are compared. Next, regression equations relating the efficiency parameter of the model to selected screening operating variables are developed. Finally a “modified” Hatch and Mular model is introduced in the Nakajima et al. model and the results are compared with the experimental data. It is shown that both the new models fit the experimental results obtained from rectangular-aperture screens better than the original Nakajima et al. model. |
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| Keywords: | Screening Particle size Modelling |
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