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Journals / Hacettepe Journal of Mathematics and Statistics / 2004 / Cilt: 33 - Sayı:

Grinding from the mathematical point of view

Georgi V. SMIRNOV
Pages
31–50
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The mathematical model introduced here can be used to predict the results of grinding, to construct grinding systems with desired properties, and to improve the particle size measurement.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A rigorous mathematical description of grinding processes used in powder technologies is developed.
📊
Key Findings & Data:A grinding equation, an operator equation, connecting the final particle size distribution function to the particle size distribution function before the grinding process is studied.
💡
Conclusion & Impact:The mathematical model introduced here can be used to predict the results of grinding, to construct grinding systems with desired properties, and to improve the particle size measurement.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

A rigorous mathematical description of grinding processes used in powder technologies is developed. A grinding equation, an operator equation, connecting the final particle size distribution function to the particle size distribution function before the grinding process is studied. The mathematical model introduced here can be used to predict the results of grinding, to construct grinding systems with desired properties, and to improve the particle size measurement.

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Cite This Article

SMIRNOV, G. V. (2022). Grinding from the mathematical point of view. Hacettepe Journal of Mathematics and Statistics, Cilt: 33 - Sayı:, 31–50. https://ajindex.com/articles/530810

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References (8)

  1. Allen, T. Particle size measurement, 4th edition, (Chapman and Hall, London, 1990)
  2. Gantmacher, F. R. The Theory of Matrices, (Chelsea, New York, 1974)
  3. Giersemehl, M. and Plihal, G. Fine grinding system with impact classifier mill and cyclone classifier, Powder Handling and Processing 11 (3), 1999
  4. Hörmander, L. An Introduction to Complex Analysis in Several Variables, (D. van Norstrand Company, Inc., Princeton, 1966)
  5. Lambourne, R. and Strivens, T. A. Eds. Point and Surface Coating:, Theory and Practice, 2nd edition, (Woodhead Publishing Limited, Cambridge, 1999)
  6. Oguchi, T. and Yamamoto, K. Recent technology of grinding and pharmaceutical technology, J. Jpn. Soc. Pharm. Machinery Eng. 4, 32-38, 1995
  7. Peterson, T.W., Scotto, M.V. and Sarofim, A. F. Comparison of comminution data with analytical solutions of the fragmentation equation, Powder Technology 45, 87-93, 1985
  8. Reid, K.J.A solution to the batch grinding equation, Chemical Engineering Science 20,953-963, 1965.