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Numerical Simulation of Heat Transfer and Spread of Virus Particles in the Car Interior

Author

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  • Ivan Panfilov

    (Department of Theoretical and Applied Mechanics, Agribusiness Faculty, Don State Technical University, Gagarin, 1, 344003 Rostov-on-Don, Russia)

  • Alexey N. Beskopylny

    (Department of Transport Systems, Faculty of Roads and Transport Systems, Don State Technical University, Gagarin, 1, 344003 Rostov-on-Don, Russia)

  • Besarion Meskhi

    (Department of Life Safety and Environmental Protection, Faculty of Life Safety and Environmental Engineering, Don State Technical University, Gagarin, 1, 344003 Rostov-on-Don, Russia)

Abstract

The epidemic caused by the coronavirus infection SARS-CoV-2 at the beginning of 2022 affected approximately 500 million people in all countries. The source of infection is the particles of the virus, which, when breathing, talking, and coughing, are released with the respiratory droplets and aerosol dust of an infected person. Actions aimed at combating and minimizing the consequences of coronavirus infection led to taking measures in scientific areas to investigate the processes of the spread of viral particles in the air, in ventilation, and air conditioning systems of premises and transport, filtration through masks, the effect of partitions, face shields, etc. The article presents a mathematical model of the spread of viral particles in technological transport. Air intake diverters and the operator’s respiratory tract are the sources of the virus. The Euler–Lagrange approach was used to simulate liquid droplets in a flow. Here, the liquid phase is considered as a continuous medium using Navier–Stokes equations, the continuity equation, the energy equation, and the diffusion equation. Accounting for diffusion makes it possible to explicitly model air humidity and is necessary to consider the evaporation of droplets (changes in the mass and size of particles containing the virus). Liquid droplets are modeled using the discrete-phase model (DPM), in which each particle is tracked in a Lagrange coordinate system. The DPM method is effective, since the volume fraction of particles is small relative to the total volume of the medium, and the interaction of particles with each other can be neglected. In this case, the discrete and continuous phases are interconnected through the source terms in the equations. The averaged RANS equations are solved numerically using the k-ω turbulence model in the Ansys Fluent package. The task was solved in a static form and in the time domain. For a non-stationary problem, the stabilization time of the variables is found. The simulation results are obtained in the form of fields of pressures, velocities, temperatures and air densities, and the field of propagation of particles containing the virus. Various regimes were studied at various free flow rates and initial velocities of droplets with viral particles. The results of trajectories and velocities of particles, and particle concentrations depending on time, size, and on the evaporability of particles are obtained.

Suggested Citation

  • Ivan Panfilov & Alexey N. Beskopylny & Besarion Meskhi, 2023. "Numerical Simulation of Heat Transfer and Spread of Virus Particles in the Car Interior," Mathematics, MDPI, vol. 11(3), pages 1-18, February.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:784-:d:1057103
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    References listed on IDEAS

    as
    1. Hemmati, S. & Doshi, N. & Hanover, D. & Morgan, C. & Shahbakhti, M., 2021. "Integrated cabin heating and powertrain thermal energy management for a connected hybrid electric vehicle," Applied Energy, Elsevier, vol. 283(C).
    2. Mohammad Al-Rawi & Ahmed M. Al-Jumaily & Annette Lazonby, 2022. "Did You Just Cough? Visualization of Vapor Diffusion in an Office Using Computational Fluid Dynamics Analysis," IJERPH, MDPI, vol. 19(16), pages 1-17, August.
    3. Alexander Sukhinov & Yulia Belova & Alexander Chistyakov & Alexey Beskopylny & Besarion Meskhi, 2021. "Mathematical Modeling of the Phytoplankton Populations Geographic Dynamics for Possible Scenarios of Changes in the Azov Sea Hydrological Regime," Mathematics, MDPI, vol. 9(23), pages 1-16, November.
    4. Besarion Meskhi & Dmitry Rudoy & Yuri Lachuga & Viktor Pakhomov & Arkady Soloviev & Andrey Matrosov & Ivan Panfilov & Tatyana Maltseva, 2021. "Finite Element and Applied Models of the Stem with Spike Deformation," Agriculture, MDPI, vol. 11(11), pages 1-14, November.
    5. Jianlin Ren & Shasha Duan & Leihong Guo & Hongwan Li & Xiangfei Kong, 2022. "Effects of Return Air Inlets’ Location on the Control of Fine Particle Transportation in a Simulated Hospital Ward," IJERPH, MDPI, vol. 19(18), pages 1-21, September.
    6. Cheng-Li Cheng & Yen-Yu Lin, 2022. "CFD Numerical Simulation in Building Drainage Stacks as an Infection Pathway of COVID-19," IJERPH, MDPI, vol. 19(12), pages 1-12, June.
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    Cited by:

    1. Ivan Panfilov & Alexey N. Beskopylny & Besarion Meskhi, 2024. "Improving the Fuel Economy and Energy Efficiency of Train Cab Climate Systems, Considering Air Recirculation Modes," Energies, MDPI, vol. 17(9), pages 1-26, May.

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