Preview

Herald of the Kazakh-British technical university

Advanced search

MATHEMATICAL MODELING OF SARS-COV-2 PARTICLES’ PROPAGATION DURING HUMAN REFLEXES

https://doi.org/10.55452/1998-6688-2023-20-2-73-91

Abstract

An unknown virus, which was detected in Wuhan city in 2019, had changed fate of the world immediately causing an economic loss, decrease in total population and etc. A penetration of coronavirus contaminated particles to a human cell is able to cause an overproduction of cytokines and antibodies. This process gives a rise to fatal cases. Hence, because of SARS-CoV-2’s pathogenicity, severity and unexpectedness, effective safety measures should be implemented. Along with safe social distancing and wearing a mask, a presence of air conditioning, ventilation system and open windows can reduce the coronavirus propagation in enclosed spaces. The present article focuses on the modeling of coronavirus particles’ propagation during human respiratory reflexes within a constructed three-dimensional confined space with inlet and outlet boundary conditions. Momentum and continuity equations, k-ε turbulence model and Lagrangian dispersion model were utilized to solve the problem. SIMPLE is a main method to solve all governing equations. The primary objectives of this work are to demonstrate the efficiency of air conditioning and open windows in preventing the spread of viruses and to examine particle behavior in the computational domain.

About the Authors

A. T. Sagandyk
Kazakh-British technical university
Kazakhstan

Sagandyk Aruzhan Talgatkyzy, Master Student, School of applied mathematics

Tole bi 59, 050000, Almaty



A. A. Issakhov
Kazakh-British technical university; Al-Farabi Kazakh national university
Kazakhstan

Issakhov Alibek A., PhD, Professor

Tole bi 59, 050000, Almaty st. al-Farabi, 71, 050038



References

1. Asadi S., Bouvier N., Wexler A.S. & Ristenpart W.D. (2020) The coronavirus pandemic and aerosols: Does COVID-19 transmit via expiratory particles? Aerosol Science and Technology, 54:6, pp. 635–638. https://doi.org/10.1080/02786826.2020.1749229

2. Anderson E.L., Turnham P., Griffin J.R. & Clarke C.C. (2020) Consideration of the Aerosol Transmission for COVID-19 and Public Health, Society for Risk Analysis, 40:5, pp. 902–907. https://doi.org/10.1111/risa.13500

3. Stadnytskyi V., Bax C.E., Bax A. & Anfinrud P. (2020) The airborne lifetime of small speech droplets and their potential importance in SARS-CoV-2 transmission. PNAS, 117:22, pp. 11875–11877. https://doi.org/10.1073/pnas.2006874117

4. Vuorinen V., Aarnio M., et al (2020) Modelling aerosol transport and virus exposure with numerical simulations

5. in relation to SARS-CoV-2 transmission by inhalation indoors, Safety Science, 130. https://doi.org/10.1016/j.ssci.2020.104866

6. Armand P., & Tâche, J. (2022, March 7) 3D modelling and simulation of the dispersion of droplets and drops carrying the SARS-CoV-2 virus in a railway transport coach, Scientific Reports, 12(1). https://doi.org/10.1038/s41598-022-08067-6

7. Mariam, Magar A., Joshi M., Rajagopal P.S., Khan A., Rao M.M. & Sapra B.K. (2021, June 23) CFD Simulation of the Airborne Transmission of COVID-19 Vectors Emitted during Respiratory Mechanisms: Revisiting the Concept of Safe Distance, ACS Omega, 6(26), 16876–16889. https://doi.org/10.1021/acsomega.1c01489

8. Mirzaie, M., Lakzian, E., Khan, A., Warkiani, M. E., Mahian, O., & Ahmadi, G. (2021, October) COVID-19 spread in a classroom equipped with partition – A CFD approach, Journal of Hazardous Materials, 420, 126587. https:// doi.org/10.1016/j.jhazmat.2021.126587

9. Abuhegazy M., Talaat K., Anderoglu O. & Poroseva S. V. (2020, October 1). Numerical investigation of aerosol transport in a classroom with relevance to COVID-19, Physics of Fluids, 32(10), 103311. https://doi.org/10.1063/5.0029118 9 Narayanan S.R. & Yang S. (2021, March 1) Airborne transmission of virus-laden aerosols inside a music classroom: Effects of portable purifiers and aerosol injection rates, Physics of Fluids, 33(3), 033307. https://doi.org/10.1063/5.0042474

10. Ahmadzadeh M., Farokhi E. & Shams M. (2021, September) Investigating the effect of air conditioning on the distribution and transmission of COVID-19 virus particles, Journal of Cleaner Production, 316, 128147. https://doi.org/10.1016/j.jclepro.2021.128147

11. Liu H., He S., Shen L. & Hong J. (2021, February 1) Simulation-based study of COVID-19 outbreak associated with air-conditioning in a restaurant, Physics of Fluids, 33(2), 023301. https://doi.org/10.1063/5.0040188

12. Mathai V., Das A., Bailey J.A. & Breuer K. (2021, January). Airflows inside passenger cars and implications for airborne disease transmission, Science Advances, 7(1). https://doi.org/10.1126/sciadv.abe0166

13. Jayaweera M., Perera H., Gunawardana B. & Manatunge J. (2020, September). Transmission of COVID-19 virus by droplets and aerosols: A critical review on the unresolved dichotomy, Environmental Research, 188, 109819. https:// doi.org/10.1016/j.envres.2020.109819

14. Issakhov A., Zhandaulet Y., Omarova P., Alimbek A., Borsikbayeva A., & Mustafayeva A. (2021, May 3). A numerical assessment of social distancing of preventing airborne transmission of COVID-19 during different breathing and coughing processes, Scientific Reports, 11(1). https://doi.org/10.1038/s41598-021-88645-2

15. Busco G., Yang S.R., Seo J. & Hassan Y.A. (2020, July 1) Sneezing and asymptomatic virus transmission, Physics of Fluids, 32(7), 073309. https://doi.org/10.1063/5.0019090

16. Mortazavi H., Beni H.M., Aghaei F. & Sajadian S.H. (2021, March) SARS-CoV-2 droplet deposition path and its effects on the human upper airway in the oral inhalation, Computer Methods and Programs in Biomedicine, 200, 105843. https://doi.org/10.1016/j.cmpb.2020.105843

17. Guan Y.D., Ramesh A. & Memarzadeh F. (2014, December). The Effects of Patient Movement on Particles Dispersed by Coughing in an Indoor Environment. Applied Biosafety, 19(4), 172–183. https://doi.org/10.1177/153567601401900401

18. Wang J.X., Li Y.Y., Liu X. D. & Cao X. (2020, August 1) Virus transmission from urinals, Physics of Fluids, 32(8), 081703. https://doi.org/10.1063/5.0021450

19. Versteeg H. & Malalasekera W. (2007, February 6) An Introduction to Computational Fluid Dynamics: The Finite Volume Method. https://doi.org/10.1604/9780131274983

20. Deng B., Wang J., Tang J. & Gao J. (2018, August). Improvement of the momentum method as the diffuser boundary condition in CFD simulation of indoor airflow: Discretization viewpoint, Building and Environment, 141, 55–60. https://doi.org/10.1016/j.buildenv.2018.05.050


Review

For citations:


Sagandyk A.T., Issakhov A.A. MATHEMATICAL MODELING OF SARS-COV-2 PARTICLES’ PROPAGATION DURING HUMAN REFLEXES. Herald of the Kazakh-British technical university. 2023;20(2):73-91. https://doi.org/10.55452/1998-6688-2023-20-2-73-91

Views: 300


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1998-6688 (Print)
ISSN 2959-8109 (Online)