Design a converging/diverging nozzle

In summary, the conversation discusses the design of a CD nozzle for producing 20mN thrust under atmospheric conditions. The reservoir pressure is 1.4 bar and the ambient pressure is 1 bar, with other variables being adjustable. The design is to be sent out for fabrication. The process involves checking the pressure ratio to see if it is large enough to choke the flow, using isentropic relations to calculate velocity, and making sure the temperature is correct. However, the pressure ratio is too low to choke the flow and the design needs to be reevaluated.
  • #1
aerograce
64
1
I am intending to design a CD nozzle that produces 20mN thrust under atmospheric conditions.
The reservoir pressure will be 1.4 bar, and the ambient pressure will be 1 bar. The other variables are adjustable. This will in the end be sent out for fabrication.My process is as follow,
upload_2016-11-3_21-56-55.png

May I know if this procedure is reasonable? The throat area to exhaust area ratio looks dubious though.
 
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  • #2
This does not look correct to me. Your first step should be checking to see if your pressure ratio is even large enough to choke the flow. It isn't. Therefore, there is no reason to use a converging-diverging nozzle since you won't actually be going supersonic with your exhaust anyway.

Next, you appear to be using isentropic relations between the pressure ratio and the Mach number to calculate the velocity, which may be okay here, but you are using the wrong temperature. You have to use the temperature at the location at which you are caclulating the velocity if you want to convert the Mach number this way. Using the temperature in the reservoir will just give you the Mach number at the exit relative to the speed of sound in a completely different location, which is clearly meaningless.

Last, your mass flow/throat area calculation assumes the flow is choked, which, as I mentioned before, it is not.
 
  • #3
As boneh3ad said, your pressure ratio is too low to choke the flow, so you'll need to rethink your design in some way (either increase your pressure ratio, or switch to a converging-only nozzle)
 

1. What is a converging/diverging nozzle and how does it work?

A converging/diverging nozzle is a device used in fluid mechanics to accelerate the flow of a fluid, typically a gas. It consists of a converging section that decreases the cross-sectional area of the flow, followed by a diverging section that increases the cross-sectional area. This design allows for the fluid to reach supersonic speeds and creates thrust in the desired direction.

2. What are the main components of a converging/diverging nozzle?

The main components of a converging/diverging nozzle include the converging section, the throat, and the diverging section. The converging section is responsible for decreasing the cross-sectional area of the flow, while the diverging section increases it. The throat is the narrowest point in the nozzle and is where the flow reaches its maximum speed.

3. What factors influence the design of a converging/diverging nozzle?

The design of a converging/diverging nozzle is influenced by several factors, including the desired exit velocity, the fluid properties, the inlet pressure and temperature, and the geometry of the nozzle. These factors must be carefully considered to ensure optimal performance of the nozzle.

4. What are the applications of converging/diverging nozzles?

Converging/diverging nozzles are used in a variety of applications, including rocket engines, supersonic and hypersonic aircraft, and gas turbines. They are also used in industrial processes such as chemical and food processing, where high-velocity jets are required.

5. What are the advantages of using a converging/diverging nozzle?

The main advantage of using a converging/diverging nozzle is its ability to accelerate the flow of a fluid to supersonic speeds. This results in a high thrust force, making it a key component in propulsion systems. Additionally, converging/diverging nozzles have a simple design and are relatively easy to manufacture, making them cost-effective for various applications.

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