Originally posted by mmclaughlin
Lets see if I can remember this correctly - I believe that if you take a gas and pass it through a pipe of some diameter, you start with subsonic flow, then you can decrease the diameter of the pipe to get to a sonic condition, then once you increase the diameter the airflow becomes supersonic. As it goes to a larger diameter after the sonic condition, the flow rate increases, somewhat counter intuitive to decrease diameter to increase flow rate, but it does work. Obviously you would have to figure out the specific diameter and flow rate, but it can be done. Now you would just have to figure out what the diameters would have to be for our exhaust rates - my guess is that the diameter would be much less then 4"
Kinda... .
Actually, you can only accelerate a flow to Mach 1 by decreasing the area it passes through. After that, it is strictly determined by the backpressure at the exit what the flow will do from there. There are many different possibilites, but the main ones are these:
1. The flow will, after going sonic at the throat (smallest diameter, where dA=0), continue to go supersonic and the flow will be considered "matched", that is, there is no need for a shockwave anywhere inside the nozzle or outside the exit (or expansion waves outside the exit) to match the pressure at the exit to the backpressure outside... this is a perfect case, and while the shockwaves are still there, they are perfectly parallel to the flow exiting the nozzle (very difficult to obtain).
2. The flow will, after going sonic at the throat, decrease it's speed to a subsonic condition to match the backpressure at the exit. There will be no shockwaves, as they can not form in subsonic flow.
3. The flow will, after going sonic at the throat, go supersonic in the diverging portion of the nozzle, but due to the backpressure being at a certain value a shockwave will form inside the nozzle causing a jump in the pressure (and a decrease in total pressure) to match the backpressure (flow will normally again be subsonic after the shockwave).
There are others, with shockwaves outside the nozzle and expansion fans outside as well.