A very long, constant area pipe is filled with stationary air at 300K and 101kPa. A first shock is followed by a second shock. Both travel in the same direction. The first shock travels with a Mach # of 2.2, while the second follows at a Mach # of 2.0, both with respect to a stationary observer. At time t=0 the distance between the two shocks is 100m. Will the second shock ever catch up with the first and, if so, how long will it take? Also, what is the static pressure behind the second shock at t=0 ?

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A very long, constant area pipe is filled with
stationary air at 300K and 101kPa. A first shock
is followed by a second shock. Both travel in the
same direction. The first shock travels with a
Mach # of 2.2, while the second follows at a
Mach # of 2.0, both with respect to a stationary
observer. At time t=0 the distance between the
two shocks is 100m. Will the second shock ever
catch up with the first and, if so, how long will it
take? Also, what is the static pressure behind
the second shock at t=0 ?
Transcribed Image Text:A very long, constant area pipe is filled with stationary air at 300K and 101kPa. A first shock is followed by a second shock. Both travel in the same direction. The first shock travels with a Mach # of 2.2, while the second follows at a Mach # of 2.0, both with respect to a stationary observer. At time t=0 the distance between the two shocks is 100m. Will the second shock ever catch up with the first and, if so, how long will it take? Also, what is the static pressure behind the second shock at t=0 ?
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