## 3 Results
Obviously, with the growth in the droplet diameter, the increase in values of stopping distances and coefficients of diffusion were noticed. For droplets with a diameter equal to 50 um, there occur more significant differences in the values of \(\varepsilon_{d,M}\), \(\varepsilon_{d,ref}\), \(s_{M}\) and \(s_{ref}\) compared to 16.45 um. These discrepancies occur due to variation in droplet sizes, as calculations were performed for the constant value of \(\left(\frac{d\theta}{dx}\right)_{max}\ =\ 4.8\ \frac{1}{8}\). An increase in the values of the abovementioned parameters coincides with an increase in the disparities between the reference parameters (\(\varepsilon_{d,ref}\), \(s_{ref}\)) and those that take into account the Magnus force acting (\(\varepsilon_{d,M}\), \(s_{M}\)). For droplets with diameters equal to 100 um and equal to 150 um, the differences in values of the \(\varepsilon_{d,M}\), \(\varepsilon_{d,ref}\) and \(s_{M}\), \(s_{ref}\) are extremely high. It was noticed that droplets with diameter \(d_{d}=16.45\) um were impacted by the Magnus lift force more significantly, compared to droplets with diameter \(d_{d}=1.86\) um or \(d_{d}=5.04\) um. The value of the diffusion coefficient decreases with the value of the local velocity gradient wherein \(\varepsilon_{d,M}\) in contrast to \(\varepsilon_{d,ref}\) takes the highest value. Hence, the Magnus force appears to support turbulent-inertial diffusion of the droplets with \(d_{d}\ \geq 16.45\) um. Based on the calculation outcomes, it was stated that the droplet diffusion coefficient was identified to be even a few orders of magnitude higher for droplets with a diameter \(d_{d}=16.45\) um, which indicated contrary to smaller droplets (\(d_{d}=5.04\) um) that they may undergo turbulent-inertial diffusion more likely. The stopping distance, \(s_{M}\), of the droplet with diameter \(d_{d}=\ 50\) um was higher in value than \(s_{ref}\). If the droplet stopping distance is lower than the eddy diameter, the droplet undergoes the influence of this vortex and, thereby, a turbulent diffusion. Conversely, when the droplet's stopping distance exceeds the eddy's diameter, the eddy is simply neglected by a droplet. In this connection, the inertial mechanism and the body force of gravity influence the movement of the droplets. These are the determinants of the deposition of droplets on the channel's wall. The analysis did not factor in the impact of resistance and buoyancy forces. When the droplet diameter reached 100 um, the differences in the stopping distances \(s_{M}\) and \begin{table}
\begin{tabular}{l c c c} \hline \(\left|\frac{d\alpha_{g}}{dx}\right|\) & \(\left[\frac{1}{8}\right]\) & \(\boldsymbol{l_{m}\cdot 10^{-3}\) [m]}\) & \(\boldsymbol{\varepsilon_{d,turb}\cdot 10^{-4}\) [\(\frac{m^{2}}{8}\)]}\) & \(\boldsymbol{\delta_{bl}\) [m]} \\ \hline
4.8 & 11 & 5.46 & 0.026 \\
3.9 & 9.43 & 4.3 & 0.023 \\
2.22 & 9.02 & 3.9 & 0.022 \\
1.93 & 8.6 & 3.6 & 0.021 \\
1.28 & 8.2 & 3.3 & 0.02 \\
0.374 & 8 & 3.1 & 0.0196 \\ \hline \end{tabular}
\end{table} 
Table 5: [PERSON]’s mixing length and the coefficient of turbulent diffusion as a function of the \(LVG\) and \(\delta_{bl}\) that varied. \(s_{ref}\) significantly increased at relatively low values of the \(LVG\) \(\left(\leq\) 4.2 \(\frac{1}{\mathrm{s}}\right)\) (Appendix C, Figures A4 and A5). At the peak of the local mean velocity gradients \(\left(4.8\ \frac{1}{\mathrm{s}}\right)\) and with an increase in droplet diameter, its movement was influenced to a greater extent by the Magnus force (Table 4). At two fan frequencies (\(n\) = 5 Hz and \(n\) = 6 Hz), four sampling lines of the straight channel were monitored for the measure of droplet size distribution and quantity (Figures 4 and A6). Figure 4 reveals the variation in the quantity of droplets with a diameter of up to 10 microns. The measurements were taken at four sampling lines of the \(SCh_{1}\) channel at two fan frequencies, namely 5 Hz and 6 Hz. Figure 4a. presents data obtained for n = 5 Hz, and in Figure 4b. the outcomes for n = 6 Hz are exposed.