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Licensed Unlicensed Requires Authentication Published by De Gruyter August 14, 2020

Role of Reynolds and Archimedes numbers in particle-fluid flows

Haim Kalman

Haim Kalman is a professor of mechanical engineering at Ben-Gurion University of the Negev, from which he received his PhD in 1989. His research interests include various topics related to powder technology, including: pneumatic and hydraulic conveying, size reduction, characterization and heat transfer. He served as the head of department, president of the International Freight Pipeline Society and chairman of the International Scientific Council of CHoPS. He was also the founder of CHoPS. He has published 110 papers in scientific journals and 233 conference presentations. His awards include the AIChE Appreciation Award, Center for Bulk Solids & Particulate Technologies, Australia, Excellence Award, and Engineers Australia Bulk Solids Handling Award.

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Abstract

Any scientific behavior is best represented by nondimensional numbers. However, in many cases, for pneumatic conveying systems, dimensional equations are developed and used. In some cases, many of the nondimensional equations include Reynolds (Re) and Froude (Fr) numbers; they are usually defined for a limited range of materials and operating conditions. This study demonstrates that most of the relevant flow types, whether in horizontal or vertical pipes, can be better described by Re and Archimedes (Ar) numbers. Ar can also be used in hydraulic conveying systems. This paper presents many threshold velocities that are accurately defined by Re as a simple power function of Ar. Many particulate materials are considered by Ar, thereby linking them to a common behavior. Using various threshold velocities, a flow regime chart for horizontal conveying is presented in this paper.


Corresponding author: Haim Kalman, Aaron Fish Chair of Mechanical Engineering – Fracture Mechanics, Laboratory for Conveying and Handling of Particulate Solids (CHoPS-Lab), Ben-Gurion University of the Negev, Department of Mechanical Engineering, Beer-Sheva, 84105, Israel, E-mail:

About the author

Haim Kalman

Haim Kalman is a professor of mechanical engineering at Ben-Gurion University of the Negev, from which he received his PhD in 1989. His research interests include various topics related to powder technology, including: pneumatic and hydraulic conveying, size reduction, characterization and heat transfer. He served as the head of department, president of the International Freight Pipeline Society and chairman of the International Scientific Council of CHoPS. He was also the founder of CHoPS. He has published 110 papers in scientific journals and 233 conference presentations. His awards include the AIChE Appreciation Award, Center for Bulk Solids & Particulate Technologies, Australia, Excellence Award, and Engineers Australia Bulk Solids Handling Award.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-01-22
Accepted: 2020-05-21
Published Online: 2020-08-14
Published in Print: 2022-02-23

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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