## 3 Results and Discussion
\begin{table}
\begin{tabular}{l c c c c c} \hline \hline
**Source** & **DF** & **Adj SS** & **Adj MS** & **F-Value** & \(p\)**-Value** \\ \hline Model & 20 & 2.49783 & 0.12489 & 19.94 & 0.001 \\ \hline Linear & 5 & 2.42307 & 0.48461 & 77.39 & 0 \\ \hline \(N\) & 1 & 0.04015 & 0.04015 & 6.41 & 0.045 \\ \hline \(Clearance\) & 1 & 1.02763 & 1.02763 & 164.1 & 0 \\ \hline \(D_{screw}\) & 1 & 1.12376 & 1.12376 & 179.45 & 0 \\ \hline \(D_{shaft}\) & 1 & 0.16574 & 0.16574 & 26.47 & 0.002 \\ \hline \(Pitch\) & 1 & 0.06578 & 0.06578 & 10.5 & 0.018 \\ \hline Square & 5 & 0.0197 & 0.00394 & 0.63 & 0.686 \\ \hline \(N^{2}\) & 1 & 0.00012 & 0.00012 & 0.02 & 0.893 \\ \hline \(Clearance^{2}\) & 1 & 0.00003 & 0.00003 & 0 & 0.947 \\ \hline \(D_{screw}\) & 1 & 0.00012 & 0.00012 & 0.02 & 0.893 \\ \hline \(D_{shaft}\)\({}^{2}\) & 1 & 0.00052 & 0.00052 & 0.08 & 0.784 \\ \hline \(Pitch^{2}\) & 1 & 0.01398 & 0.01398 & 2.23 & 0.186 \\ \hline \(2\)-Way Interaction & 10 & 0.05507 & 0.00551 & 0.88 & 0.592 \\ \hline \(N\)-\(Clearance\) & 1 & 0.00766 & 0.00766 & 1.22 & 0.311 \\ \hline \(N\)-\(D_{screw}\) & 1 & 0.00601 & 0.00601 & 0.96 & 0.365 \\ \hline \(N\)-\(D_{shaft}\) & 1 & 0.00526 & 0.00526 & 0.84 & 0.395 \\ \hline \(N\)-\(Pitch\) & 1 & 0.00331 & 0.00331 & 0.53 & 0.495 \\ \hline \(Clearance\)-\(D_{screw}\) & 1 & 0.00526 & 0.00526 & 0.84 & 0.395 \\ \hline \(Clearance\)-\(D_{shaft}\) & 1 & 0.01156 & 0.01156 & 1.85 & 0.223 \\ \hline \(Clearance\)-\(Pitch\) & 1 & 0.00275 & 0.00275 & 0.44 & 0.532 \\ \hline \(D_{screw}\)-\(D_{shaft}\) & 1 & 0.00766 & 0.00766 & 1.22 & 0.311 \\ \hline \(D_{screw}\)-\(Pitch\) & 1 & 0.00106 & 0.00106 & 0.17 & 0.696 \\ \hline \(D_{shaft}\)-\(Pitch\) & 1 & 0.00456 & 0.00456 & 0.73 & 0.426 \\ \hline Error & 6 & 0.03757 & 0.00626 & & \\ \hline Total & 26 & 2.5354 & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Analysis of Variance for Mass Flow. and further examination of actual particle size should be used in future in order to provide a more comprehensive explanation. \[ \begin{array}{l}P_{Power}\left(A,B,C,D,E\right)\ =-2136+1.68\ A+3.2\ B+28.5\ C-0.6\ D+21.6\ E-0.00130\ A^{2}+\\ 0.292\ B^{2}-0.0754\ C^{2}+0.0245\ D^{2}-0.0526\ E^{2}-0.0533\ AB-0.0321\ AC-0.0151\ AD+\\ 0.0285\ AE+0.246\ BC+0.181\ BD-0.286\ BE+0.135\ CD-0.185\ CE-0.099\ DE\\ P_{Shear}\left(A,B,C,D,E\right)=-3373+2.02\ A-15.6\ B+44.0\ C+11.8\ D+33.9\ E-0.00151\ A^{2}+\\ 0.016\ B^{2}-0.1149\ C^{2}-0.0912\ D^{2}-0.0905\ E^{2}-0.0325\ AB-0.0335\ AC-0.0192\ AD+\\ 0.0235\ AE+0.230\ BC+0.459\ BD-0.131\ BE+0.035\ CD-0.264\ CE-0.102\ DE\\ \\ P_{Deformation}\left(A,B,C,D,E\right)=22.1+0.0344\ A-2.991\ B-0.136\ C+0.401\ D-0.380\ E-\\ 3.1\cdot 10^{-5}A^{2}+0.00571\ B^{2}-0.00126\ C^{2}-0.00223\ D^{2}+2.5\cdot 10^{-4}E^{ 2}-5.4\cdot 10^{-4}\ AB-\\ 3.8\cdot 10^{-4}\ AC-9.8\cdot 10^{-4}\ AD+4.4\cdot 10^{-4}\ AE+0.01775\ BC+0.00503\ BD+0.01765\ BE+\\ 0.00191\ CD+0.00288\ CE-0.00318\ DE\\ P_{Stress}\left(A,B,C,D,E\right)=724+0.39\ A-85.6\ B-3.7\ C+14.9\ D-13.0\ E-8.5\cdot 1 0^{-4}A^{2}+0.239\ B^{2}-\\ 0.0331\ C^{2}-0.0606\ D^{2}+0.0217\ E^{2}-0.0067\ AB-0.0077\ AC-0.0264\ AD+0.0157\ AE+\\ 0.479\ BC+0.094\ BD+0.516\ BE+0.030\ CD+0.078\ CE-0.112\ DE\\ \end{array}  \tag{10}\]  
Figure 8: Pareto Chart illustrating the Standardized Effects of Power (\(\alpha\) = 0.05) on the left, accompanied by a Normal Probability Plot depicting the distribution of Power on the right. Figure 7: Pareto Chart illustrating the Standardized Effects of Mass Flow (\(\alpha\) = 0.05) on the left, accompanied by a Normal Probability Plot depicting the distribution of Mass Flow on the right.