Volume 66
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Wheeldon, J. M., Baeyens, J., Li, S., & Deng, Y. (2022). A new design approach for the established flow region of vertical, dilute-phase pneumatic conveyors. Particuology, 66, 10-20. https://doi.org/10.1016/j.partic.2021.06.013
A new design approach for the established flow region of vertical, dilute-phase pneumatic conveyors
John M. Wheeldon a, Jan Baeyens b c, Shuo Li c, Yimin Deng b c *
a European Powder and Process Technology, Longfellow Drive, Kettering, United Kingdom
b KU Leuven, Department of Chemical Engineering, Process and Environmental Technology Lab, J. De Nayerlaan 5, 2860 Sint-Katelijne-Waver, Belgium
c Beijing University of Chemical Technology, Beijing Advanced Centre of Smart Matter Science and Engineering, Beijing, China
10.1016/j.partic.2021.06.013
Volume 66, July 2022, Pages 10-20
Received 26 April 2021, Revised 6 June 2021, Accepted 16 June 2021, Available online 30 August 2021, Version of Record 30 October 2021.
E-mail: yimin.deng@kuleuven.be

Highlights

• An evaluation of vertical dilute-phase pneumatic conveying data is reported.

• Based on rigorous data analysis the equation of motion is redefined.

• Correct basis for collecting and reporting data is established.

• Pressure drops for range of materials and riser diameters are accurately predicted.

• Pressure drop minima and associated gas velocities are predicted by same procedure.


Abstract

An analysis has been completed for a comprehensive set of vertical, dilute-phase pneumatic conveying pressure drop data from an investigation by Flatow. The data were collected in the established flow region for eight different materials conveyed in 0.05-, 0.10-, 0.20-m internal diameter, 20-m tall steel risers. Particle velocities derived from the pressure drop data were used to develop an equation of motion that includes terms for pipe diameter, terminal velocity, coefficient of restitution, and particle shape. The best data fit was achieved using the actual gas density and the actual gas velocity adjusted for voidage. Adjusting the terminal velocity for voidage, an approach recommended by many investigators, did not improve the fit for reasons identified by the present research.

Using the equation of motion, particle velocities were predicted and used to calculate total pressure drops that are within ±15% of the measured values. The calculated values also produce the characteristic trough-shaped total pressure drop curves allowing the minimum pressure drop gas velocity to be determined without recourse to a separate correlation. A comparison with other studies using shorter risers indicates that data from these studies likely include acceleration effects. A separate study will investigate this observation further.


Graphical abstract
Keywords
Dilute-phase; Vertical; Pneumatic conveying; Design equations; Pressure drops