Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum

Turdaliev Vokhidjon Makhsudovich; Davidbaev Bakhtiyordjan Nizamitdinovich; Ruzaliev Khojiakbar Shermakhammad Ogli

doi:doi:10.11648/j.ajma.20251204.12

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Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum

Turdaliev Vokhidjon Makhsudovich

, Davidbaev Bakhtiyordjan Nizamitdinovich

, Ruzaliev Khojiakbar Shermakhammad Ogli^*

Published in American Journal of Mechanics and Applications (Volume 12, Issue 4)

Received: 6 September 2025 Accepted: 18 September 2025 Published: 10 October 2025

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Abstract

This article provides a comprehensive investigation into the motion of bulk materials inside a perforated rotating drum separator, paying particular attention to the correlation between the kinematic characteristics of particles, the structural and geometric parameters of the drum, and the combined effects of gravitational and centrifugal forces. The study develops a theoretical model that captures the dynamics of axial velocity and the residence (exit) time of bulk materials as they move under the simultaneous influence of rotational motion, centrifugal action, and the inclination of the drum relative to the horizontal plane. To establish the governing relationships, Newton’s second law of motion is employed together with energy-based analytical formulations, which makes it possible to derive mathematical expressions describing both the axial displacement of the particles and the time required for their discharge from the drum. These analytical equations are subsequently solved numerically using Microsoft Excel across a wide range of operating conditions, including variations in rotational speed, inclination angle, drum diameter, and length. The numerical results reveal that the axial velocity of the bulk material reaches a stable value after a relatively short transient phase, indicating a quasi-steady state of motion within the drum. In addition, it is shown that the discharge or exit time of the material grows almost linearly with increases in drum length and other key operating parameters, which confirms the strong dependence of throughput capacity on design variables. The outcomes of the research clearly demonstrate that angular velocity of the drum and its inclination angle play a decisive role in governing the efficiency of the screening process. These parameters not only affect the residence time of particles but also determine the quality of separation and the overall performance of the equipment. The developed model and the obtained findings thus provide a reliable theoretical and numerical foundation for the scientific optimization of perforated drum separator design, enabling engineers to enhance process efficiency, reduce energy consumption, and improve the uniformity of material separation in industrial applications.

Published in	American Journal of Mechanics and Applications (Volume 12, Issue 4)
DOI	10.11648/j.ajma.20251204.12
Page(s)	81-86
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Perforated Drum, Movement, Velocity, Bulk Material, Time, Screening, Elastic Blade, Angle

References

[1]	A. N. Konoplin. Improvement of the Process of Centrifugal Separation of Bulk Materials: Author’s Abstract of the Dissertation for the Degree of Candidate of Technical Sciences: 05.20.01.-Voronezh, 2008.-20 p.
[2]	N. I. Strikunov, V. I. Belyaev, B. T. Tarasov. Grain and Seed Cleaning. Machines and Technologies.-Barnaul: Publishing House of Altai State Agrarian University, 2007.-131 p.
[3]	N. G. Gladkov. Grain Cleaning Machines.-Moscow: Nauka, 1961.-368 p.
[4]	Y. L. Ding, R. Forster, J. P. Seville, D. J. Parker. Segregation of granular flow in the transverse plane of a rolling mode rotating drum International Journal of Multiphase Flow 28 (2002) 635–663.
[5]	V. M. Turdaliyev, B. N. Davidbayev, Kh. Sh. Ruzaliyev. Determination of the Impact Center of an Elastic Blade Acting on a Grated Drum. Scientific Journal “Mechanics and Technology”, Vol. 6, No. 2, 2025.
[6]	V. M. Turdaliyev, B. N. Davidboyev, Kh. Sh. Ruzaliyev. Development and Justification of Parameters of a Drum-Type Screening Device for Bulk Materials. Scientific-Technical Journal (STJ FerPI, Fergana Polytechnic Institute Scientific-Technical Journal, 2025, Vol. 29, Special Issue No. 4).
[7]	Kochetkov A. V., Fedotov P. V. Some Issues of Impact Theory. Internet Journal “Naukovedenie”, 2013, No. 5, pp. 1–15.
[8]	Fominykh A. V., Chumakov V. G. Algorithm for Calculating the Separation Process on Sieving Devices. Agrarian Bulletin of the Urals, 2010, No. 7(73), pp. 77–79.
[9]	Fominykh A. V., Mekshun Yu. N., Loparev A. V., Kovshova N. A. Theoretical Studies of Grain Motion on a Sieve Performing Vibrations in Its Plane. Bulletin of the Kurgan State Agricultural Academy, 2019, No. 3, pp. 72–74.
[10]	Belov M. I., Romanenko V. N., Slavkin V. I. Mathematical Model of Particle Motion on a Cleaning Sieve. Tractors and Agricultural Machines, 2008, No. 8, pp. 33–36.
[11]	Patrin V. A., Patrin A. V., Krum V. A. Determination of Optimal Operating Modes of Vertical Cylindrical Vibratory Sieves by Graphical Method. Mechanization and Electrification of Agriculture, 2009, No. 8, pp. 11–12.
[12]	Patrin V. A., Patrin A. V., Krum V. A. Graphical Method for Selecting Operating Modes of Vertical Cylindrical Vibratory Sieves. Bulletin of the Tver State Agricultural Academy, 2009, Issue No. 3(10), pp. 138–140.
[13]	Kurinnaya N. O. Improving the Efficiency of Grain Separation by Circular Oscillations of Sieves in the Mode of Self-Cleaning from Stuck Particles: Author’s Abstract of the Dissertation for the Degree of Candidate of Technical Sciences: 05.20.01. Chelyabinsk, 2009.-22 p.
[14]	Drincha V. M. Study of Seed Separation and Development of Machine Technologies for Their Preparation. Voronezh: NPO “MODEK”, 2006.-384 p.
[15]	Khizhnikov A. A. Intensification of the Grain Cleaning Process on a Cylindrical Sub-Sieve: Dissertation for the Degree of Candidate of Technical Sciences (05.20.01). Barnaul, 2011.-163 p.

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APA Style

Makhsudovich, T. V., Nizamitdinovich, D. B., Ogli, R. K. S. (2025). Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum. American Journal of Mechanics and Applications, 12(4), 81-86. https://doi.org/10.11648/j.ajma.20251204.12

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ACS Style

Makhsudovich, T. V.; Nizamitdinovich, D. B.; Ogli, R. K. S. Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum. Am. J. Mech. Appl. 2025, 12(4), 81-86. doi: 10.11648/j.ajma.20251204.12

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AMA Style

Makhsudovich TV, Nizamitdinovich DB, Ogli RKS. Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum. Am J Mech Appl. 2025;12(4):81-86. doi: 10.11648/j.ajma.20251204.12

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@article{10.11648/j.ajma.20251204.12,
  author = {Turdaliev Vokhidjon Makhsudovich and Davidbaev Bakhtiyordjan Nizamitdinovich and Ruzaliev Khojiakbar Shermakhammad Ogli},
  title = {Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum
},
  journal = {American Journal of Mechanics and Applications},
  volume = {12},
  number = {4},
  pages = {81-86},
  doi = {10.11648/j.ajma.20251204.12},
  url = {https://doi.org/10.11648/j.ajma.20251204.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20251204.12},
  abstract = {This article provides a comprehensive investigation into the motion of bulk materials inside a perforated rotating drum separator, paying particular attention to the correlation between the kinematic characteristics of particles, the structural and geometric parameters of the drum, and the combined effects of gravitational and centrifugal forces. The study develops a theoretical model that captures the dynamics of axial velocity and the residence (exit) time of bulk materials as they move under the simultaneous influence of rotational motion, centrifugal action, and the inclination of the drum relative to the horizontal plane. To establish the governing relationships, Newton’s second law of motion is employed together with energy-based analytical formulations, which makes it possible to derive mathematical expressions describing both the axial displacement of the particles and the time required for their discharge from the drum. These analytical equations are subsequently solved numerically using Microsoft Excel across a wide range of operating conditions, including variations in rotational speed, inclination angle, drum diameter, and length. The numerical results reveal that the axial velocity of the bulk material reaches a stable value after a relatively short transient phase, indicating a quasi-steady state of motion within the drum. In addition, it is shown that the discharge or exit time of the material grows almost linearly with increases in drum length and other key operating parameters, which confirms the strong dependence of throughput capacity on design variables. The outcomes of the research clearly demonstrate that angular velocity of the drum and its inclination angle play a decisive role in governing the efficiency of the screening process. These parameters not only affect the residence time of particles but also determine the quality of separation and the overall performance of the equipment. The developed model and the obtained findings thus provide a reliable theoretical and numerical foundation for the scientific optimization of perforated drum separator design, enabling engineers to enhance process efficiency, reduce energy consumption, and improve the uniformity of material separation in industrial applications.
},
 year = {2025}
}

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TY  - JOUR
T1  - Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum

AU  - Turdaliev Vokhidjon Makhsudovich
AU  - Davidbaev Bakhtiyordjan Nizamitdinovich
AU  - Ruzaliev Khojiakbar Shermakhammad Ogli
Y1  - 2025/10/10
PY  - 2025
N1  - https://doi.org/10.11648/j.ajma.20251204.12
DO  - 10.11648/j.ajma.20251204.12
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 81
EP  - 86
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20251204.12
AB  - This article provides a comprehensive investigation into the motion of bulk materials inside a perforated rotating drum separator, paying particular attention to the correlation between the kinematic characteristics of particles, the structural and geometric parameters of the drum, and the combined effects of gravitational and centrifugal forces. The study develops a theoretical model that captures the dynamics of axial velocity and the residence (exit) time of bulk materials as they move under the simultaneous influence of rotational motion, centrifugal action, and the inclination of the drum relative to the horizontal plane. To establish the governing relationships, Newton’s second law of motion is employed together with energy-based analytical formulations, which makes it possible to derive mathematical expressions describing both the axial displacement of the particles and the time required for their discharge from the drum. These analytical equations are subsequently solved numerically using Microsoft Excel across a wide range of operating conditions, including variations in rotational speed, inclination angle, drum diameter, and length. The numerical results reveal that the axial velocity of the bulk material reaches a stable value after a relatively short transient phase, indicating a quasi-steady state of motion within the drum. In addition, it is shown that the discharge or exit time of the material grows almost linearly with increases in drum length and other key operating parameters, which confirms the strong dependence of throughput capacity on design variables. The outcomes of the research clearly demonstrate that angular velocity of the drum and its inclination angle play a decisive role in governing the efficiency of the screening process. These parameters not only affect the residence time of particles but also determine the quality of separation and the overall performance of the equipment. The developed model and the obtained findings thus provide a reliable theoretical and numerical foundation for the scientific optimization of perforated drum separator design, enabling engineers to enhance process efficiency, reduce energy consumption, and improve the uniformity of material separation in industrial applications.

VL  - 12
IS  - 4
ER  -

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Author Information

Turdaliev Vokhidjon Makhsudovich

Transport Faculty, Namangan State Technical University, Namangan, Uzbekistan

Contact Email

http://orcid.org/0000-0001-6795-9513
Davidbaev Bakhtiyordjan Nizamitdinovich

The Department of Applied Mechanics, Fergana State Technical University, Fergana, Uzbekistan

Contact Email

http://orcid.org/0009-0001-8479-8624
Ruzaliev Khojiakbar Shermakhammad Ogli

The Department of Applied Mechanics, Fergana State Technical University, Fergana, Uzbekistan

Contact Email

http://orcid.org/0000-0002-0229-5354

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Plain Text BibTeX RIS

APA Style

Makhsudovich, T. V., Nizamitdinovich, D. B., Ogli, R. K. S. (2025). Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum. American Journal of Mechanics and Applications, 12(4), 81-86. https://doi.org/10.11648/j.ajma.20251204.12

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ACS Style

Makhsudovich, T. V.; Nizamitdinovich, D. B.; Ogli, R. K. S. Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum. Am. J. Mech. Appl. 2025, 12(4), 81-86. doi: 10.11648/j.ajma.20251204.12

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AMA Style

Makhsudovich TV, Nizamitdinovich DB, Ogli RKS. Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum. Am J Mech Appl. 2025;12(4):81-86. doi: 10.11648/j.ajma.20251204.12

Copy | Download

@article{10.11648/j.ajma.20251204.12,
  author = {Turdaliev Vokhidjon Makhsudovich and Davidbaev Bakhtiyordjan Nizamitdinovich and Ruzaliev Khojiakbar Shermakhammad Ogli},
  title = {Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum
},
  journal = {American Journal of Mechanics and Applications},
  volume = {12},
  number = {4},
  pages = {81-86},
  doi = {10.11648/j.ajma.20251204.12},
  url = {https://doi.org/10.11648/j.ajma.20251204.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20251204.12},
  abstract = {This article provides a comprehensive investigation into the motion of bulk materials inside a perforated rotating drum separator, paying particular attention to the correlation between the kinematic characteristics of particles, the structural and geometric parameters of the drum, and the combined effects of gravitational and centrifugal forces. The study develops a theoretical model that captures the dynamics of axial velocity and the residence (exit) time of bulk materials as they move under the simultaneous influence of rotational motion, centrifugal action, and the inclination of the drum relative to the horizontal plane. To establish the governing relationships, Newton’s second law of motion is employed together with energy-based analytical formulations, which makes it possible to derive mathematical expressions describing both the axial displacement of the particles and the time required for their discharge from the drum. These analytical equations are subsequently solved numerically using Microsoft Excel across a wide range of operating conditions, including variations in rotational speed, inclination angle, drum diameter, and length. The numerical results reveal that the axial velocity of the bulk material reaches a stable value after a relatively short transient phase, indicating a quasi-steady state of motion within the drum. In addition, it is shown that the discharge or exit time of the material grows almost linearly with increases in drum length and other key operating parameters, which confirms the strong dependence of throughput capacity on design variables. The outcomes of the research clearly demonstrate that angular velocity of the drum and its inclination angle play a decisive role in governing the efficiency of the screening process. These parameters not only affect the residence time of particles but also determine the quality of separation and the overall performance of the equipment. The developed model and the obtained findings thus provide a reliable theoretical and numerical foundation for the scientific optimization of perforated drum separator design, enabling engineers to enhance process efficiency, reduce energy consumption, and improve the uniformity of material separation in industrial applications.
},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Determination of the Axial Velocity of the Material Being Sorted in a Rotating Perforated Drum

AU  - Turdaliev Vokhidjon Makhsudovich
AU  - Davidbaev Bakhtiyordjan Nizamitdinovich
AU  - Ruzaliev Khojiakbar Shermakhammad Ogli
Y1  - 2025/10/10
PY  - 2025
N1  - https://doi.org/10.11648/j.ajma.20251204.12
DO  - 10.11648/j.ajma.20251204.12
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 81
EP  - 86
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20251204.12
AB  - This article provides a comprehensive investigation into the motion of bulk materials inside a perforated rotating drum separator, paying particular attention to the correlation between the kinematic characteristics of particles, the structural and geometric parameters of the drum, and the combined effects of gravitational and centrifugal forces. The study develops a theoretical model that captures the dynamics of axial velocity and the residence (exit) time of bulk materials as they move under the simultaneous influence of rotational motion, centrifugal action, and the inclination of the drum relative to the horizontal plane. To establish the governing relationships, Newton’s second law of motion is employed together with energy-based analytical formulations, which makes it possible to derive mathematical expressions describing both the axial displacement of the particles and the time required for their discharge from the drum. These analytical equations are subsequently solved numerically using Microsoft Excel across a wide range of operating conditions, including variations in rotational speed, inclination angle, drum diameter, and length. The numerical results reveal that the axial velocity of the bulk material reaches a stable value after a relatively short transient phase, indicating a quasi-steady state of motion within the drum. In addition, it is shown that the discharge or exit time of the material grows almost linearly with increases in drum length and other key operating parameters, which confirms the strong dependence of throughput capacity on design variables. The outcomes of the research clearly demonstrate that angular velocity of the drum and its inclination angle play a decisive role in governing the efficiency of the screening process. These parameters not only affect the residence time of particles but also determine the quality of separation and the overall performance of the equipment. The developed model and the obtained findings thus provide a reliable theoretical and numerical foundation for the scientific optimization of perforated drum separator design, enabling engineers to enhance process efficiency, reduce energy consumption, and improve the uniformity of material separation in industrial applications.

VL  - 12
IS  - 4
ER  -

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