Looking for input of other peoples opinions on the relationship of CFM and PSI?

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Discussion Overview

The discussion centers on the relationship between CFM (cubic feet per minute) and PSI (pounds per square inch) in the context of compressors, exploring whether this relationship is linear or non-linear, and examining the mathematical principles involved. Participants are interested in the implications for compressor design and performance, particularly in automotive applications.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that there is no direct relationship between CFM and PSI, but rather a relationship between volume and pressure as described by gas laws.
  • Questions are raised about the possibility of linearizing the relationship between CFM and PSI, with some participants expressing uncertainty about what that entails.
  • Participants discuss the compression ratio of compressors, noting that it varies by model and is not solely determined by PSI output.
  • There is a suggestion that larger pistons may allow for faster compression but could result in lower maximum pressure, though this is not universally accepted as a rule.
  • Concerns are expressed about how the size of a valve affects CFM and PSI, with some arguing that a larger valve increases CFM but may not necessarily lower PSI, depending on the tank's conditions.
  • A participant questions the duration of air output at regulated pressures, suggesting that lower PSI settings could extend the time air is available from a tank, though this is not definitively resolved.
  • Another participant emphasizes the importance of thermodynamics in compressor operation, noting that heat generation during compression can lead to energy loss.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between CFM and PSI, with multiple competing views and uncertainties remaining throughout the discussion.

Contextual Notes

Limitations include the lack of clarity on specific mathematical relationships, assumptions about compressor designs, and the dependence on various operational conditions that affect performance.

Mattsnooze
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Hey. As the title dipicts, is there any relationship between CFM and PSI, linear or non-linear?

Any mathamatical relationship either?

CFM (cubic feet per minute) is a volume over time, and PSI (lbs per square inch) is a weight essentially over an area. So I take it, there's no real way to linearize it?

For instance, what's the compression ratio of a typical 12V compressor (high end)?

Also, if one compressor can produce 100 psi, and another 300 psi. Does the 300 psi unit have a higher compression ratio? I know the compression is usually pistons that very quickly pump in tinny volumes of air (30mm - 60+mm pistons) so I'm sure the size of the piston's determine how fast and how much max pressure they can compress (I think would be inversly perportional ( bigger pistons faster compression, but lower Max pressure?)would it not)?

Also, if a compressor and tank combo store let's say at 200PSI. If you tap a valve directly off the Tank, the second you open the valve air comes out at a Descending PSI rate would it not? So all that being said, the larger diameter the valve, the higher the CFM, but the lower the PSI? Or is PSI the same, but the tank just drains faster, and the PSI drops faster proportionatly?

(sorry for some of my spelling errors, I'm trying to type fast B4 I go to work)

I'm doing research on compressors and how the sizes of the chambers/ports/wheels all play a part in balancing CFM and PSI, depending on the application. So in order to work with them I would like to understand if there is any relationship between the two or not.
So from a design perspective I would like to learn how to design compressors for the variet of applications (from low cfm (high psi), to High CFM(high PSI) and the few combinations between.

I've read a crap load of formulas, and engineering documentation, so now I would like to understand/re cap with what I've learned and hopefully develop upon that.

The designing is for different methods of forced induction on automobiles. So even if you have automotive experience I would appreciate If you chimmed in. thanks in advance.
 
Last edited:
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Hey. As the title dipicts, is there any relationship between CFM and PSI, linear or non-linear?

Any mathamatical relationship either?

CFM (cubic feet per minute) is a volume over time, and PSI (lbs per square inch) is a weight essentially over an area. So I take it, there's no real way to linearize it?

There is no unit conversion between the two; however, there is a relationship between Volume and Pressure.

Depending on the process by which you went from the initial state to the final state of the gas, you can use the http://en.wikipedia.org/wiki/Gas_laws" .

Also, if a compressor and tank combo store let's say at 200PSI. If you tap a valve directly off the Tank, the second you open the valve air comes out at a Descending PSI rate would it not? So all that being said, the larger diameter the valve, the higher the CFM, but the lower the PSI? Or is PSI the same, but the tank just drains faster, and the PSI drops faster proportionatly?

If the tank has a fixed amount of air in it, and the compressor doesn't make up any that is lost, then the pressure will drop as the gas escapes. Generally, depending on the initial pressure, the flow rate will be relatively constant up until the very end of the discharge.

CS
 
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Mattsnooze said:
Hey. As the title dipicts, is there any relationship between CFM and PSI, linear or non-linear? Any mathamatical relationship either?
As has been mentioned, there is no direct relationship except those in the gas laws.

Mattsnooze said:
CFM (cubic feet per minute) is a volume over time, and PSI (lbs per square inch) is a weight essentially over an area. So I take it, there's no real way to linearize it?
What do you mean by linearize it? I am going to assume that you want a relationship between the two. Again, see the gas laws.

Mattsnooze said:
For instance, what's the compression ratio of a typical 12V compressor (high end)?
It will be different for every compressor.

Mattsnooze said:
Also, if one compressor can produce 100 psi, and another 300 psi. Does the 300 psi unit have a higher compression ratio?
It has a higher, overall pressure ratio.

In the end, if you look at any compressor data, you will see stated by the manufacturer the design flowrate at a specified pressure.

Mattsnooze said:
I know the compression is usually pistons that very quickly pump in tinny volumes of air (30mm - 60+mm pistons) so I'm sure the size of the piston's determine how fast and how much max pressure they can compress (I think would be inversly perportional ( bigger pistons faster compression, but lower Max pressure?)would it not)?
There are a lot of styles of compressors other than piston type. You can not infer information about the output based on just the size of piston. In general, the larger the piston, the greater the flow rate. Whether it can generate a higher pressure depends on a lot of other factors including the entire driving engine.

Mattsnooze said:
Also, if a compressor and tank combo store let's say at 200PSI. If you tap a valve directly off the Tank, the second you open the valve air comes out at a Descending PSI rate would it not?
The outlet condition is dictated by the pressure that the valve opens up to. If it opens to atmosphere then that will be the outlet pressure.

Mattsnooze said:
So all that being said, the larger diameter the valve, the higher the CFM, but the lower the PSI? Or is PSI the same, but the tank just drains faster, and the PSI drops faster proportionatly?
The tank drains faster.
 
One more Question. If I had a 1 gallon tank with a compressor that can compress at 250 PSI, and released it with a regulator at 10 psi, does that mean it could continue to push out 10PSI for (X) amount of time (the gallon worth) if it wasn't "chargeing/compressing"? So in comparison, if with a regulator I was pushing 50 psi out does that mean it would drain 5 times faster than if I only allowed 10 psi to release? (compare by blowing into open air at atmospheric pressure) In other words, if I regulate the psi down, does that extend the amount of time I could continue running at the selected PSI? ie. 250 psi max, but only letting out 10 psi for a duration?

Sorry for any incoherance, I'm having trouble putting my questions into words.
 
Cool. You guys have been a huge help. Ill post my design in a couple weeks with pictures so you guys see what I'm doing. I have all the info I need, I just have to finish putting the setup together, and flow bench it.

Take it easy, and have an e-beer on me :P
Peace!
 
Just make sure you pay attention to the thermodynamics. When a compressor compresses a gas, it gets hot. This is a potential source of energy loss and how a compressor does the compression and how a regulator does the expansion both make a difference in how much energy you lose.
 

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