Calculating the volumetric rate of flow for pressurized gas out of a circular nozzle.
Hello! My physics knowledge is pretty rusty, but I am trying to solve an engineering problem, and I really need some help. I am trying to figure out the volumetric rate of flow for compressed nitrogen gas being emitted from a circular nozzle.
I have some data provided by a vendor with varying nozzle sizes and pressures that I'm trying to match, but I'm having difficulty getting the math to work out such that I can derive the values given. Unfortunately, I don't have much information beyond that, but if I have the correct equations, I'm hoping that I should be able to figure out any relevant constants or conditions like temperature, etc.
I've looked in a lot of different directions, but I'm not sure I'm doing the right thing. Firstly, I looked at Bernoulli's equation adjusted for compressible flow, but I'm not sure of the initial density or the ending density. I imagine the ending density can be computed for Standard Temperature and Pressure using the ideal gas laws, but if I do the same for the starting density, I run into the same problem.
I then looked into the choked flow flow equations, but I run into a similar problem where I don't have the starting density. I tried deriving it using the ideal gas law and assuming the end density was STP, but I didn't get anywhere near the vendor's data.
I apologize if I am forgetting anything important. If it helps, some example data is as follows: The Nitrogen Gas is at 5 Bar, and a nozzle has a radius of 1". The flow in Ft^3/hour is apparently 290, but I'm not sure how to calculate that.
Thanks!
