Why Does Flow Become Supersonic in the Diverging Section of a Nozzle?

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Supersonic flow in a diverging section of a nozzle occurs after reaching Mach 1 at the throat, where the flow accelerates due to changes in pressure and density. While a converging section only supports subsonic flow, the diverging section can accelerate the flow beyond the speed of sound due to compressible flow dynamics. The relationship between area change and Mach number indicates that as the area increases in the diverging section, the flow accelerates instead of decelerating. Proper design of a converging-diverging nozzle is crucial, with the throat positioned at Mach 1 to facilitate this transition. Understanding these principles is essential for grasping the behavior of nozzles in fluid dynamics.
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i just started reading about nozzles and turbines in my semester course. i went through converging diverging nozzles. for achieving a supersonic flow, a converging diverging nozzle is used. now a converging section will work as a nozzle only till the flow is subsonic and a diffuser at supersonic flow. that means the maximum velocity obtainable in converging section is speed of sound in the same medium.
also dA/A = [M^2 - 1]dV/V, at Mach 1, section ll not alter the speed of flow.
now consider a converging diverging section. suppose mach 1 is reached at the throat, at mach 1, section ll not alter the speed of flow, then why would the flow become supersonic in the diverging section. i am a little confused about this. since no part of stream can go over mach 1 in converging section, diverging section should act as a diffuser, right?? apparently i am wrong, but i don't know where..
also i was wondering what effect the shape of section might have, i mean concavity or convexity of the nozzle
 
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A properly designed CD nozzle will have it's throat at M=1. Compressible theory is where the divergent part starts to work. There are a few funny things that happen because of it. The acceleration of a flow in a divergent section is one of them. Keep reading!

http://exploration.grc.nasa.gov/education/rocket/nozzle.html
 
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