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

A. T. Sagandyk, A. Issakhov
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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.
sars-cov-2粒子在人体反射过程中传播的数学模型
2019年在武汉市发现的一种未知病毒,立即改变了世界的命运,造成了经济损失、人口减少等。被冠状病毒污染的颗粒渗透到人体细胞中会导致细胞因子和抗体的过量产生。这一过程导致了致命的病例。因此,由于SARS-CoV-2的致病性、严重性和突发性,应采取有效的安全措施。除了保持安全的社交距离和戴口罩外,空调、通风系统和打开的窗户也可以减少冠状病毒在封闭空间的传播。本文重点研究了冠状病毒颗粒在具有入口和出口边界条件的三维密闭空间中在人体呼吸反射过程中的传播模型。利用动量和连续性方程、k-ε湍流模型和拉格朗日色散模型求解。SIMPLE是求解所有控制方程的主要方法。这项工作的主要目标是证明空调和打开窗户在防止病毒传播方面的效率,并在计算领域检查粒子行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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