## 2 Shock Tube Experimental Setup
### Shock Tube Experimental Cases
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Case** & **TNT (kg)** & **TNT Location** & \begin{tabular}{c} **Sealing of Left Side of** \\ **Driver Section** \\ \end{tabular} & \
\begin{tabular}{c} **Target and** \\ **Shock Tube Contact Status** \\ \end{tabular} &
\begin{tabular}{c} **Expansion Section** \\ \end{tabular} \\ \hline
1-1 & 4.5–18 & Middle & Sealed & Not in contact & Not used \\
1-2 & 8.8–13.2 & Left End & Sealed & In contact & Not used \\
2-1 & 0.45–1.35 & Left End & Sealed & In contact & Not used \\
2-2 & 0.45–0.9 & Left End & Opened & In contact & Not used \\
3-1 & 1–17.6 & Left End & Sealed & In contact & Used \\
3-2 & 4.4–8.8 & Left End & Opened & In contact & Used \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Summary of test conditions. Figure 4: Experimental setup for case 3: (**a**) case 3-1; (**b**) case 3-2.  
are characterized by a single peak incident pressure measurement, the test conducted with TNT detonated at the center of the sealed driver section is not suitable. Tables 9-11 present the peak reflected pressure for case 1-1. The peak reflected pressure observed on the target showed a significant difference between the minimum and maximum values depending on the measured locations, approximately doubling. This was due to the lack of contact between the shock tube and the target. The COV values were categorized into two groups: one for observing uniform pressure at the target and the other for assessing reproducibility. The COV values for the uniform pressure ranged from 0.20 to 0.29, while the COV values for reproducibility ranged from 0.0065 to 0.11. Thus, the measurement of a uniform pressure was unsuccessful, although reproducibility was high. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Case**} & \multirow{2}{*}{**Round**} & \multirow{2}{*}{**TNT (kg)**} & \multirow{2}{*}{**Sealing Status**} & \multicolumn{6}{c}{**Peak Reflected Pressure (MPa)**} & \multirow{2}{*}{**COV**} \\ \cline{3-3} \cline{5-10}  & & & **Pr 1** & & **Pr 2** & **Pr 3** & **Pr 4** & **Pr 5** \\ \hline \multirow{3}{*}{1-1} & 4 & 9 & Sealed & 7.92 & 7.93 & 6.56 & 4.67 & 4.71 & 0.23 \\  & 5 & 9 & Sealed & 8.65 & 7.8 & 7.48 & 4.93 & 4.59 & 0.24 \\  & 6 & 9 & Sealed & 8.06 & 8.32 & 7.38 & 5.03 & 5.47 & 0.20 \\ \hline \multicolumn{10}{c}{COV} & \multicolumn{6}{c}{0.039} & 0.028 & 0.058 & 0.031 & 0.079 & \multicolumn{1}{c}{} \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Measured peak reflected pressures in case 1-1 (TNT of 9 kg). Figure 5: Incident pressure histories of round 2: (**a**) Pso 2; (**b**) Pso 3; (**c**) Pso 5. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Locations**} & \multicolumn{3}{c}{**Arrival Time (ms)**} \\ \cline{2-5}  & & **1 st Peak Pressure** & **2 nd Peak Pressure** \\ \hline Pso 2 & 2.76 & 6.85 \\ Pso 3 & 4.51 & 8.39 \\ Pso 5 & 8.32 & 12.60 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Arrival times of peak incident pressures in round 2. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Case**} & \multirow{2}{*}{**Round**} & \multirow{2}{*}{**TNT (kg)**} & \multirow{2}{*}{**Sealing Status**} & \multicolumn{6}{c}{**Peak Reflected Pressure (MPa)**} & \multirow{2}{*}{**COV**} \\ \cline{3-3} \cline{5-10}  & & & **Pr 1** & & **Pr 2** & & **Pr 3** & **Pr 4** & **Pr 5** \\ \hline \multirow{3}{*}{1-1} & 1 & 4.5 & Sealed & 4.42 & 3.98 & 3.53 & 2.75 & 2.6 & 0.20 \\  & 2 & 4.5 & Sealed & 4.36 & 3.89 & 4.62 & 2.62 & 2.46 & 0.25 \\  & 3 & 4.5 & Sealed & 4.36 & 3.84 & 3.95 & 2.26 & 2.2 & 0.27 \\ \hline \multicolumn{10}{c}{COV} & \multicolumn{6}{c}{0.0065} & 0.015 & 0.11 & 0.081 & 0.068 & \multicolumn{1}{c}{} \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Measured peak reflected pressures in case 1-1 (TNT of 4.5 kg). Figure 6 illustrates the reflected pressure history in round 2. The peak reflected pressure was recorded twice. This reaffirms that the second peak reflected pressure impacted the target due to the sealed condition of the shock tube.