224 | | The shock jump equations for a stationary shock are used to solve for the initial post-shock values. The post-shock velocity v2 can be written as: |
225 | | |
226 | | |
227 | | where v1 is the ambient velocity, and M is the ambient mach number. Remember that the mach number M = v1/c where c is the ambient sound speed, and [[latex($c = \sqrt{\frac{\gamma P1}{\rho1}}$)]] where P1 is ambient pressure, and [[latex($\rho1$)]] is ambient density. |
228 | | |
229 | | The post-shock density and pressure ([[latex($\rho2$)]] and P_2_ respectively) can be found by using mass flux and momentum flux conservation across the shock: |
| 224 | The shock jump equations for a stationary shock are used to solve for the initial post-shock values. The post-shock velocity v,,2,, can be written as: |
| 225 | |
| 226 | |
| 227 | where v,,1,, is the ambient velocity, and M is the ambient mach number. Remember that the mach number M = v,,1,,/c where c is the ambient sound speed, and [[latex($c = \sqrt{\frac{\gamma P_{1}}{\rho_{1}}}$)]] where P,,1,, is ambient pressure, and [[latex($\rho_{1}$)]] is ambient density. |
| 228 | |
| 229 | The post-shock density and pressure ([[latex($\rho_{2}$)]] and P,,2,, respectively) can be found by using mass flux and momentum flux conservation across the shock: |