# Analytical Calculation Model of the TV3-117 Turboshaft Working Regimes Based on Experimental Data
## 3 Similarity Parameters and Experimental Data
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Engine** & \(N_{co}\) [\%] & \(T_{3,co}\) [\%] & \(\pi_{C,co}\) [\%] & \(M_{af,co}\) [\%] & \(F_{fco}\) [\%] \\ \hline TV2 & 64 \(\div\) 97.5 & 68 \(\div\) 100 & 33 \(\div\) 100 & 26 \(\div\) 100 & 25 \(\div\) 100 \\ AI-20K & 60 \(\div\) 95 & 86 \(\div\) 100 & 32 \(\div\) 100 & 43 \(\div\) 100 & 34 \(\div\) 100 \\ Viper 632 & 51 \(\div\) 102.4 & 64 \(\div\) 100 & 26 \(\div\) 100 & 29 \(\div\) 100 & 16 \(\div\) 100 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Percentage variation limits of some main engine parameters. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**TV2** & **AI-20** & **Viper** & **TV2** & **AI-20** & **Viper** & **TV2** & **AI-20** & **Viper** \\ \hline  & **N [\%]** & & & \(N/\sqrt{T_{3,t}}\) [\%] & & & \(G_{f}\times\sqrt{T_{3,t}}/p_{3,t}\) [\%] & \\ \hline
64.1 & - & 50.6 & 79.42 & - & 61.48 & 67.13 & - & 87.40 \\
83.3 & 59.3 & 61.4 & 97.22 & 67.03 & 73.69 & 92.98 & 96.08 & 96.26 \\
85.5 & 64.8 & 71.5 & 98.58 & 75.58 & 84.95 & 95.91 & 101.78 & 99.82 \\
88.3 & 72.5 & 76.9 & 99.68 & 81.67 & 89.86 & 98.67 & 101.09 & 100.19 \\
90.5 & 76.0 & 81.5 & 100.24 & 84.91 & 93.16 & 99.30 & 104.26 & 100.36 \\
92.5 & 79.3 & 87.1 & 100.11 & 91.77 & 97.24 & 98.47 & 103.56 & 101.21 \\
94.2 & 84.0 & 92.2 & 100.31 & 94.90 & 99.22 & 99.49 & 101.82 & 100.36 \\
95.6 & 89.4 & 97.1 & 100.02 & 98.10 & 99.64 & 99.37 & 106.22 & 99.94 \\
96.9 & 93.8 & 100.4 & 99.91 & 99.70 & 99.78 & 100.07 & 101.1 & 100.38 \\
97.5 & 95.0 & 102.4 & 100 & 100 & 100 & 100 & 100 & 100 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Percentage variation in ratio between speed and inlet turbine temperature, and ratio between gas flow inlet turbine temperature and pressure. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{2}{c}{**TV2-117A Turbboshaft**} & \multicolumn{2}{c}{**AI-20K Turboprop**} & \multicolumn{2}{c}{**Vipper 632-41 Turbojet**} \\ \hline \(N[\%]\) & \(\frac{G_{f}\times\sqrt{T_{\text{Av}}}}{P_{\text{Av}}}[\%]\) & \(N[\%]\) & \(\frac{G_{f}\times\sqrt{T_{\text{Av}}}}{P_{\text{Av}}}[\%]\) & \(N[\%]\) & \(\frac{G_{f}\times\sqrt{T_{\text{Av}}}}{P_{\text{Av}}}[\%]\) \\ \hline \(64\div 83\) & \(67\div 93\) & \(60\div 65\) & \(96\div 102\) & \(51\div 61\) & \(87\div 96\) \\ \(85\div 97.5\) & \(95\div 100\) & \(65\div 95.0\) & \(104\div 100\) & \(72\div 102.4\) & \(99\div 101\) \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Percentage variations of the second similarity parameter defined as the ratio between gas flow, inlet turbine temperature radical, and inlet turbine pressure. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{2}{c}{**TV2-117A Turbboshaft**} & \multicolumn{2}{c}{**AI-20K Turboprop**} & \multicolumn{2}{c}{**Vipper 632-41 Turbojet**} \\ \hline \(N[\%]\) & \(\frac{I_{\text{C}_{f}}}{N^{2}}[\%]\) & \(N[\%]\) & \(\frac{I_{\text{C}_{f}}}{N^{2}}[\%]\) & \(N[\%]\) & \(\frac{I_{\text{C}_{f}}}{N^{2}}[\%]\) \\ \hline \(64\div 88\) & \(71\div 90\) & \(60\div 95\) & \(95\div 100\) & \(51\div 77\) & \(114\div 99\) \\ \(90\div 97.5\) & \(93\div 100\) & \(60\div 95\) & \(95\div 100\) & \(77\div 102.4\) & \(99\div 101\) \\ \hline \hline \end{tabular}
\end{table} 
Table 11: Percentage variations of the third similarity parameter defined as the ratio between compressor total specific actual work and speed square. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{2}{c}{**TV2-117A Turbboshaft**} & \multicolumn{2}{c}{**AI-20K Turboprop**} & \multicolumn{2}{c}{**Vipper 632-41 Turbojet**} \\ \hline \(N[\%]\) & \(\frac{I_{\text{C}_{f}}}{N^{2}}[\%]\) & \(N[\%]\) & \(\frac{I_{\text{C}_{f}}}{N^{2}}[\%]\) & \(N[\%]\) & \(\frac{I_{\text{C}_{f}}}{N^{2}}[\%]\) \\ \hline \(64\div 88\) & \(71\div 90\) & \(60\div 95\) & \(95\div 100\) & \(51\div 77\) & \(114\div 99\) \\ \(90\div 97.5\) & \(93\div 100\) & \(79\div 95.0\) & \(95\div 100\) & \(77\div 102.4\) & \(99\div 101\) \\ \hline \hline \end{tabular}
\end{table}