Why does a supersonic nozzle have a divergent shape?

In summary, a nozzle decreases in cross-sectional area for subsonic flow in order to maintain conservation of mass and accommodate a change in velocity. The reason for this is that in order to maintain a constant flow rate, the area must change in order to accommodate different rates of fluid density. For supersonic flow, the nozzle is divergent to maintain this same principle.
  • #1
engg.ques
2
0
Nozzle:
Why for subsonic flow the cross-sectional area of nozzle decreases?
 
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  • #2
For an incompressible fluid with a single inlet and exit the conservation of mass equation simply reduces to volumetric flow in equals volumetric flow out. It is then immediately clear that with a change in area from the inlet to the outlet, there is a corresponding change in velocity.

The common sense answer is that if you want to put the same amount of constant density material through an area of different sizes, then you'll have to use different rates.

I consider the more confusing (and interesting) question to be why a supersonic nozzle is divergent.
 

Related to Why does a supersonic nozzle have a divergent shape?

What is the steady flow energy equation?

The steady flow energy equation is a fundamental equation in thermodynamics that represents the conservation of energy for a fluid in steady flow. It states that the total energy of the fluid, including internal energy, kinetic energy, and potential energy, remains constant in a steady flow process.

What are the assumptions made in the steady flow energy equation?

The steady flow energy equation assumes that the fluid is in steady flow, meaning that it is not changing with time. It also assumes that there is no heat transfer or work being done on or by the fluid, and that there is no change in the fluid's chemical composition.

What is the significance of the steady flow energy equation in engineering?

The steady flow energy equation is a crucial tool in engineering as it allows for the analysis and prediction of the behavior of fluids in various systems, such as turbines, pumps, and heat exchangers. It helps engineers design and optimize these systems for maximum efficiency and performance.

How is the steady flow energy equation derived?

The steady flow energy equation is derived from the first law of thermodynamics, which states that energy cannot be created or destroyed but can only be converted from one form to another. By applying this law to a steady flow process, we can arrive at the steady flow energy equation.

Can the steady flow energy equation be used for compressible fluids?

Yes, the steady flow energy equation can be used for both incompressible and compressible fluids. However, for compressible fluids, the equation needs to be modified to account for changes in the fluid's density due to pressure and temperature variations along the flow path.

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