Write a short Matlab code to solve this problem. For the shock tube in Prob. 7.10, the lengths of the driver and driven sections are 3 and 9 m, respectively. On graph paper, plot the wave diagram (xt diagram) showing the wave motion in the shock tube, including the incident and reflected shock waves, the contact surface, and the incident and reflected expansion waves. To construct the nonsimple region of the reflected expansion wave, use the method of characteristics as outlined in Sec. 7.6. Use at least four characteristic lines to define the incident expansion wave, as shown in Fig. 7.16.

Figure 7.16 Reflected expansion wave on an xt diagram. Simple region Reflected wave Nonsimple region Simple region End wall Incident wave ?? Figure 7.16 Reflected expansion wave on an xt diagram. Simple region Reflected wave Nonsimple region Simple region End wall Incident wave