. 2021 Oct 27;33(10):101302. doi: 10.1063/5.0061469

TABLE V.

Details of the applied boundary condition on the mouth/nose in the previous numerical simulations of the human respiratory activities. The velocity is in m/s and time in s unless stated otherwise.

Respiratory activity	The applied boundary condition
Breathing⁶³	$v_{sin} = 4.5 sin (1.79 t)$
Breathing⁶³	$V_{inlet} = \{\begin{matrix} 0, v_{sin} < 0 \\ v_{sin} (t), v_{sin} > 0 \end{matrix}$
Breathing¹⁴	Constant velocity: 1 m/s
Breathing⁶⁹	$V_{inlet} = \frac{V_{t}}{T_{b} A_{m o}} π cos [\frac{2 π t}{T_{b}} - \frac{π}{2}]$ volume of breathing: $V_{t} = 0.5 \times 10^{- 3} m^{3}$ , the period of breaathing: $T_{b} = 5 s$ , $A_{m o}$ is the area of the mouth opening during breathing: $3.5 \times 10^{- 4} m^{2}$ , $t$ is the time
Breathing⁵⁴	Sinusoidal curve, with 17 times per minute with a time-mean rate of 8.4 L/min
Breathing⁸⁰	Sinusoidal curve, with 10 times per minute with a time-mean rate of 6.0 L/min
Breathing⁸¹	Constant velocity: 0.107 m/s
Breathing⁸²	Constant velocity: 0.2 m/s
coughing⁸³	Constant velocity: 10 m/s
Coughing⁶⁶	$V_{inlet} = \{\begin{array}{l} \frac{w_{m}}{t_{m}} t, & 0 \leq t \leq t_{m} \\ w_{m} - \frac{w_{m}}{t_{c} - t_{m}} (t - t_{m}), & t_{m} < t < t_{c} \\ 0, & t > t_{c} \end{array} w_{m} = 4.8 \frac{m}{s}, t_{m} = 0.15 s, t_{c} = 0.4 s$
Sneezing⁶	Pressure profile: $P (t) = \frac{c_{1} t^{a_{1} - 1} e^{\frac{- t}{b_{1}}}}{b_{1}^{a_{1}} Γ (a_{1})} + \frac{c_{2} t^{a_{2} - 1} e^{\frac{- t}{b_{2}}}}{b_{2}^{a_{2}} Γ (a_{2})} Γ$ is the gamma function, $a_{1}$ = 4, $b_{1}$ = 0.0235 s, $c_{1}$ = 860.1073 Pa·s, $a_{2}$ = 9, $b_{2}$ = 0.028 s, and $c_{2}$ = 674.3917 Pa·s
Breathing, coughing, and sneezing⁸⁴	Constant velocity: 1 m/s, 10 m/s, and 35 m/s were applied for breathing, coughing, and sneezing