## 3 Results  
### General Result Overview  
The modeling results of the working process using the conjugate heat exchange method and the simplified heat exchange accounting method are presented in Table 1 and Figure 2 in the form of the following calculated and experimental gas-dynamic characteristics of the researched stage: polytropic efficiency \(\eta^{*}p\), internal pressure coefficient \(\psi_{i}\), and disk friction coefficient \(\beta_{\mathrm{ff}}\).  
According to the gas-dynamic characteristic efficiency of the stage in Figure 2, it is possible to estimate the effect of heat removal from the frontier areas as follows: The importance of polytropic efficiency value increases by 5% for optimal mode with a relative decrease in the temperature difference, \(\Delta\)T, of the steps by 8%. In the area of loan productivity, the impact of heat exchange is the most significant due to an increase in the pressure ratio that leads to an increase in leaks, as well as an increase in the discharge temperature. While moving to the right branch of the gas-dynamic characteristics, that is, in the area of a higher flow rate, the effect of heat exchange is reduced. It is connected with the pressure ratio reduction, reducing the discharge temperature. Figure 3a shows the meridian cross-section averaged over the circumferential coordinate at the optimal mode for a model with a conjugate heat transfer in the temperature range up to 350 K, and Figure 3b,c shows the comparison of the temperature fields in the disk gaps and seals for model variants with adiabatic walls and with a conjugate heat exchange, accordingly, in the temperature range up to 400 K.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Calculation**} & \multicolumn{3}{c}{\(\mathbf{\Phi_{min}}\)} & \multicolumn{3}{c}{\(\mathbf{\Phi_{opt}}\)} \\ \cline{2-7}  & \(\eta^{*}_{\mathrm{pol}}\) & \(\psi_{i}\) & \(\beta_{\mathrm{ff}}\) & \(\eta^{*}_{\mathrm{pol}}\) & \(\psi_{i}\) & \(\beta_{\mathrm{ff}}\) \\ \hline Experimental data & 0.392 & 0.958 & 0.504 & 0.462 & 0.698 & 0.223 \\ Adiabatic walls & 0.266 & 1.13 & 0.338 & 0.397 & 0.796 & 0.208 \\ Conjugate heat exchange & 0.36 & 1.01 & 0.361 & 0.448 & 0.731 & 0.228 \\ Simplified heat exchange & 0.376 & 0.989 & 0.371 & 0.454 & 0.72 & 0.229 \\ \hline \hline \end{tabular}
\end{table}
Table 1: Calculation results.  
Figure 2: Gas-dynamic characteristics of the SVD-1 stage, taking into consideration the surfaces’ heat exchange as compared with the experimental data. (**a**) Polytropic efficiency \(\eta^{*}p\) (**b**) Internal pressure coefficient \(\psi_{i}\) (**c**) Disk friction coefficient \(\beta_{\mathrm{ff}}\).  
Reducing temperature difference at the stage of the inlet and the outlet due to heat exchange is naturally reflected on the internal pressure of the stage. Heat transfer accounting essentially brings together the calculated and experimental internal pressure coefficients, as well as it changes the incline of the gas-dynamic characteristics in accordance with the change in the effect of heat transfer when deviating from optimal mode. Overpressure according to the simulation results in the optimal mode, is reduced from 14% to 4.7%, but in the low-performance mode it is reduced from 18% to 5.5%, and in the high-performance mode it is reduced from 5.5% to 2.5%.