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Metalworking (rec.crafts.metalworking) Discuss various aspects of working with metal, such as machining, welding, metal joining, screwing, casting, hardening/tempering, blacksmithing/forging, spinning and hammer work, sheet metal work. |
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#1
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I have been thinking about the issue of model equivalency between an air
regulator and a transformer again. Recall that I had postulated that the equations of air flow and pressure with respect to an air regulator might be similar to the equations of electricity flow and pressure (amps/volts) with respect to a transformer. For an ideal transformer, of course, the product of amps and volts on either side of the transformer is constant. Thus I had postulated that if air were flowing e.g. at 10 cfm at 180 psi and it were regulated down to 90 psi through an (unachievable) ideal regulator, the output would be 20 cfm at 90 psi. That discussion generated much heat but little light some months ago (GTA). Many people felt that if you have an air compressor which can generate e.g. 10 cfm into 90 psi that you cannot ever get more than 10 cfm out of it no matter what. (It is possible that they didn't feel this way, but that is what I perceived, but as usual I may have been wrong.) As an interesting corollary to this discussion I just found an interesting equation which I had not known, which is the mathematical relationship between SCFM and CFM when the air pressure is expressed in pounds per square inch (psi): SCFM = CFM * SQRT[(Pg + 14.7)/14.7] ;; Pg expressed in psi For example if a compressor is rated to deliver 10 cfm into 90 psi then it could equivalently be rated to deliver approximately 26 SCFM. So beware of SCFM ratings unless you have the above equation handy! (In case anyone is curious, I got the above equation from a Sylvania Web page: http://www.sylvania.com/pmc/heaters/air/using.htm) I propose an experiment: an air regulator with an airflow meter on either side of it, plumbed in series with it. If I attached my compressor to the input of this and a big air grinder (running unloaded) or some other fairly constant load, let the tank charge up fully and then open the tank valve to energize the system, let the system stabilize and then pull the trigger on the air grinder and take readings off the airflow meters for several different regulator settings, that should produce data which would either support or refute my postulated equations of flow/pressure on either side of the regulator. So. Does my proposed experiment make sense? Does anyone have a couple of suitable airflow meters they would like to loan me or sell me real cheap? Grant Erwin Kirkland, Washington |
#2
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SCFM is STANDARD cfm ie one cubic foot of air at 14.7 psi SCFM
on either side of a regulator is the same. SCFM on either side of a compressor is the same. All the comressors are rated in SCFM even if the the label only says CFM. Think of the standard piston compressor: it runs at some speed, has a certain displacement. At low pressures it essentially delivers the CFM of the discplacement times the speed. As the pressure goes up, there are some losses so the CFM at higher pressures drops somewhat, typically 10% to 20% less going from 40 to 90 psi. Grant Erwin wrote: I have been thinking about the issue of model equivalency between an air regulator and a transformer again. Recall that I had postulated that the equations of air flow and pressure with respect to an air regulator might be similar to the equations of electricity flow and pressure (amps/volts) with respect to a transformer. For an ideal transformer, of course, the product of amps and volts on either side of the transformer is constant. Thus I had postulated that if air were flowing e.g. at 10 cfm at 180 psi and it were regulated down to 90 psi through an (unachievable) ideal regulator, the output would be 20 cfm at 90 psi. That discussion generated much heat but little light some months ago (GTA). Many people felt that if you have an air compressor which can generate e.g. 10 cfm into 90 psi that you cannot ever get more than 10 cfm out of it no matter what. (It is possible that they didn't feel this way, but that is what I perceived, but as usual I may have been wrong.) As an interesting corollary to this discussion I just found an interesting equation which I had not known, which is the mathematical relationship between SCFM and CFM when the air pressure is expressed in pounds per square inch (psi): SCFM = CFM * SQRT[(Pg + 14.7)/14.7] ;; Pg expressed in psi For example if a compressor is rated to deliver 10 cfm into 90 psi then it could equivalently be rated to deliver approximately 26 SCFM. So beware of SCFM ratings unless you have the above equation handy! (In case anyone is curious, I got the above equation from a Sylvania Web page: http://www.sylvania.com/pmc/heaters/air/using.htm) I propose an experiment: an air regulator with an airflow meter on either side of it, plumbed in series with it. If I attached my compressor to the input of this and a big air grinder (running unloaded) or some other fairly constant load, let the tank charge up fully and then open the tank valve to energize the system, let the system stabilize and then pull the trigger on the air grinder and take readings off the airflow meters for several different regulator settings, that should produce data which would either support or refute my postulated equations of flow/pressure on either side of the regulator. So. Does my proposed experiment make sense? Does anyone have a couple of suitable airflow meters they would like to loan me or sell me real cheap? Grant Erwin Kirkland, Washington |
#3
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Roy J wrote:
SCFM is STANDARD cfm ie one cubic foot of air at 14.7 psi Perhaps you meant to write, "one cubic foot of air @ 14.7 psi per minute"? SCFM on either side of a regulator is the same. That's interesting. How did you come to that conclusion? Applying that to my hypothetical situation of an airflow of 10 cfm @ 180 psi regulated down to 90 psi, that would yield about 13.7 cfm at 90 psi. I suppose we're assuming constant temperature throughout. Grant Erwin Kirkland, Washington |
#4
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The one thing we must agree on is that the MASS flow rate thru a regulator
or compressor is conserved. (Assuming no leaks) One cubic foot per minute of air at 14.7 psia (a for absolute) is equal to some mass flow rate kg/minute, grams/second. I don't care what units. So an SCFM is equivalent to a mass flow rate. The convervation of mass principle says there will be the same mass flow rate on the downstream side of the regulator. Hence Roy J's assertion that SCFM is the same on either side of regulator. Erich "Grant Erwin" wrote in message ... Roy J wrote: SCFM is STANDARD cfm ie one cubic foot of air at 14.7 psi Perhaps you meant to write, "one cubic foot of air @ 14.7 psi per minute"? SCFM on either side of a regulator is the same. That's interesting. How did you come to that conclusion? Applying that to my hypothetical situation of an airflow of 10 cfm @ 180 psi regulated down to 90 psi, that would yield about 13.7 cfm at 90 psi. I suppose we're assuming constant temperature throughout. Grant Erwin Kirkland, Washington |
#5
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Yes PER MINUTE, adding coffee helps one add all the proper terms
at the end! And I was assuming constant temp, minimal moisture, etc etc to calm down the calculations. In the case of a shop compressor running a lower duty cycle, this is reasonable. Youcan get some pretty weird numbers when you locate the compressor outside, sucking outside air, then pipeing it inside. The conclusion is the STANDARD cfm part. That implies the number of air molecules (composed of O2, N2, Co2 and whatever else) is conserved on both sides of the regulator. Grant Erwin wrote: Roy J wrote: SCFM is STANDARD cfm ie one cubic foot of air at 14.7 psi Perhaps you meant to write, "one cubic foot of air @ 14.7 psi per minute"? SCFM on either side of a regulator is the same. That's interesting. How did you come to that conclusion? Applying that to my hypothetical situation of an airflow of 10 cfm @ 180 psi regulated down to 90 psi, that would yield about 13.7 cfm at 90 psi. I suppose we're assuming constant temperature throughout. Grant Erwin Kirkland, Washington |
#6
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Grant Erwin writes:
For example if a compressor is rated to deliver 10 cfm into 90 psi then it could equivalently be rated to deliver approximately 26 SCFM. So beware of SCFM ratings unless you have the above equation handy! (In case anyone is curious, I got the above equation from a Sylvania Web page: http://www.sylvania.com/pmc/heaters/air/using.htm) I believe this is incorrect. The "S" means standard temperature and humidity of the free air. See Machinery's Handbook. http://www.truetex.com/aircompressors.htm |
#7
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Grant Erwin writes:
That's interesting. How did you come to that conclusion? Applying that to my hypothetical situation of an airflow of 10 cfm @ 180 psi regulated down to 90 psi, that would yield about 13.7 cfm at 90 psi. I suppose we're assuming constant temperature throughout. No, you fundamentally misunderstand. CFM (or SCFM) has nothing to do with pressure. It is a measure of the flow rate of air, expressed at atmospheric pressure. The CFM (or SCFM) going into your tool is the same as the CFM (or SCFM) exhausted, even though the power has been spent. Think of the CFM as the amount of exhaust (free air) that comes out of the tool. An air regulator is not at all analogous to an electric transformer. The proper analogy is to a three-terminal voltage regulator. Energy is lost; that is how the regulator works. The CFM (or SCFM) on either side of the air regulator is necessarily equal. The pressure drops. Power is lost and turned into heat. SCFM is just CFM measured with a standard temperature and humidity in the free air. Hotter or wetter input air will degrade the compressor performance. Cooler or drier input air (than the standard) will improve it. An "SCFM" (standard CFM) is a CFM produced with input air at 68 deg F and 36 percent relative humidity. I have a 600 CFM compressor (!) in my garage that uses only 1/3 HP! Read how: http://www.truetex.com/aircompressors.htm |
#8
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On Tue, 23 Dec 2003 02:19:00 -0600, Richard J Kinch wrote:
An air regulator is not at all analogous to an electric transformer. The proper analogy is to a three-terminal voltage regulator. Energy is lost; that is how the regulator works. The CFM (or SCFM) on either side of the air regulator is necessarily equal. The pressure drops. Power is lost and turned into heat. No. A *shunt* regulator would behave the way you describe, but this is a series regulator. The regulator is a feedback controlled valve. It is not a dissipative device. It controls the mass flow of air from the tank such that a particular set pressure develops against the flow resistance existing downstream of the valve. It does not bleed excess air to atmosphere in order to do this, it does not get perceptibly hot. So any energy not required to achieve the set downstream pressure *remains in the tank*. It is not lost or turned to heat. SCFM *is* a measure of mass flow. At equilibrium flows, the mass flow into the valve *is* the same as the mass flow out of the valve. If we consider this mass flow analogous to current, then we can apply Kirchhoff's laws and show that the current is everywhere the same in a series mesh. We can also use Kirchhoff's laws to show that voltage (pressure) drops across the regulator valve and across the downstream flow resistances sum to tank pressure. In other words, the sum of the voltages around a series mesh equal zero, with the tank pressure (analogous to a battery) treated as positive and the pressure drops across the various flow resistances treated as negative. But the key thing to understand here is that a resistance need not be *dissipative*. A good electrical example is a triode tube, or *valve* as the British called them. The control voltage on the grid changes the current flow through the tube by modulating what we call the plate resistance. But this isn't an actual dissipative resistance. It is a *mathematical fiction* we use to model the plate current valving action of the grid. Similarly, the diaphram of the air regulator merely modulates the flow through the valve by opening or closing the valve. Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Gary |
#9
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I am an electrical engineer and so I view things from that perspective. I
considered the issue of the regulator and essentially my analysis agrees with Gary's 100%. I believe 2 things to be true: 1. Mass is conserved (what goes into the regulator must come out) 2. To first order, energy is conserved through the regulator That's why I don't see why flow x pressure wouldn't be constant across a regulator in steady state. Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load. The cfm going into the regulator is measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? Grant Erwin Gary Coffman wrote: On Tue, 23 Dec 2003 02:19:00 -0600, Richard J Kinch wrote: An air regulator is not at all analogous to an electric transformer. The proper analogy is to a three-terminal voltage regulator. Energy is lost; that is how the regulator works. The CFM (or SCFM) on either side of the air regulator is necessarily equal. The pressure drops. Power is lost and turned into heat. No. A *shunt* regulator would behave the way you describe, but this is a series regulator. The regulator is a feedback controlled valve. It is not a dissipative device. It controls the mass flow of air from the tank such that a particular set pressure develops against the flow resistance existing downstream of the valve. It does not bleed excess air to atmosphere in order to do this, it does not get perceptibly hot. So any energy not required to achieve the set downstream pressure *remains in the tank*. It is not lost or turned to heat. SCFM *is* a measure of mass flow. At equilibrium flows, the mass flow into the valve *is* the same as the mass flow out of the valve. If we consider this mass flow analogous to current, then we can apply Kirchhoff's laws and show that the current is everywhere the same in a series mesh. We can also use Kirchhoff's laws to show that voltage (pressure) drops across the regulator valve and across the downstream flow resistances sum to tank pressure. In other words, the sum of the voltages around a series mesh equal zero, with the tank pressure (analogous to a battery) treated as positive and the pressure drops across the various flow resistances treated as negative. But the key thing to understand here is that a resistance need not be *dissipative*. A good electrical example is a triode tube, or *valve* as the British called them. The control voltage on the grid changes the current flow through the tube by modulating what we call the plate resistance. But this isn't an actual dissipative resistance. It is a *mathematical fiction* we use to model the plate current valving action of the grid. Similarly, the diaphram of the air regulator merely modulates the flow through the valve by opening or closing the valve. Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Gary |
#10
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In article , Gary Coffman says...
The regulator is a feedback controlled valve. It is not a dissipative device. It controls the mass flow of air from the tank such that a particular set pressure develops against the flow resistance existing downstream of the valve. It does not bleed excess air to atmosphere in order to do this, it does not get perceptibly hot. Indeed because expansion is occuring inside the regulator, under certain conditions, they may start to chill preceptably. SCFM *is* a measure of mass flow. At equilibrium flows, the mass flow into the valve *is* the same as the mass flow out of the valve. Right! Otherwise, the darn thing's gonna get so heavy it will tip over the tank. ![]() Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#11
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On Tue, 23 Dec 2003 09:41:46 -0800, Grant Erwin wrote:
I am an electrical engineer and so I view things from that perspective. I considered the issue of the regulator and essentially my analysis agrees with Gary's 100%. I believe 2 things to be true: 1. Mass is conserved (what goes into the regulator must come out) 2. To first order, energy is conserved through the regulator That's why I don't see why flow x pressure wouldn't be constant across a regulator in steady state. Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load. The cfm going into the regulator is measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? 10 CFM of course. As you note, mass is conserved, or as Kirchhoff's laws tell us, current is everywhere the same in a series mesh. There is nowhere else for the air to go. If it has a certain mass flow into the valve, it has to have exactly the same mass flow out of it. The thing people seem to be having trouble grasping is that CFM is a measure of mass flow. This is pretty obvious for an incompressible liquid like water, but for a gas, CFM has to be stated in terms of a standard temperature and pressure. That's been defined by the standards bodies to be 68 F and 1 atmosphere. Gary |
#12
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In article , Grant Erwin says...
Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load. The cfm going into the regulator is measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? Don't do the problem in cubic feet, simply convert into number of molecules (and for simplicity, perform it with nitrogen) that you calculate using teh universal gas law. So many molecules of nitrogen enter the regulator, the same number leave it. If the temperature at the inlet and outlet are the same, then the volume will scale inversely like the pressure. P(1) X V(1) = P(2) X V(2) Pressure goes down by a factor of two, the volume will increase by two. The pressures btw should be absolute, not gage, not a problem to do in psig if the pressures are high. Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#13
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In article , Gary Coffman says...
10 CFM of course. As you note, mass is conserved, But there is twice the mass flow in the upstream (hp) side in teh example. In one minute, 10 cu feet of air at 180 psi flows in. If you count the number of atoms (mass) you will find that the same number come out the downstream side at 90 psi. They just take up more room at a lower pressure. I would say that if 10 cubic feet of atoms at 180 psi flow in, then 20 cubic feet of atoms will flow out, at 90 psi. PV = PV, universal gas law and all. PV = nKT n is not varying, same number of atoms. KT is constant if you allow the gas to come to thermal equibrium at the outlet of the regulator. So P1/P2 = V2/V1 and all. Jim Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#14
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![]() Gary Coffman wrote: Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load. The cfm going into the regulator is measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? 10 CFM of course. As you note, mass is conserved, or as Kirchhoff's laws tell us, current is everywhere the same in a series mesh. There is nowhere else for the air to go. If it has a certain mass flow into the valve, it has to have exactly the same mass flow out of it. This doesn't sound right to me. Let's think about the amount of air molecules that go into the regulator during one minute. It's the number of molecules in ten cubic feet at some temperature at 180 psi (which isn't an absolute pressure to be sure). Now that many molecules have to come out the other side in that minute, right? (Kirchoff and all that.) The gas law is PV = nRT. If we call the input side 1 and the output side 2, then we can write P1V1 = nRT. Since the number of molecules, n, is the same, and the temperature is the same, and since R is a constant, then P2V2 = nRT. So once again I do not see why P1V1 shouldn't equal P2V2. I can (finally!) see why you can't plug in gage pressure into this equation. The absolute pressure is (I believe) gage pressure plus 14.7 psi. Therefore I predict the answer V2 = (180+14.7)*10/(90+14.7) = 18.6 cfm as long as the temperature on both sides is equal. Boy, I wish I had 2 flowmeters. Grant Erwin |
#15
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In article , Grant Erwin says...
Boy, I wish I had 2 flowmeters. You don't need them! You understand the physics behind it instead, which is better. Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#16
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"jim rozen" wrote in message
... The regulator is a feedback controlled valve. ... it does not get perceptibly hot. Indeed because expansion is occuring inside the regulator, under certain conditions, they may start to chill preceptably. So where does the heat go? I'm going to guess that compressive systems such as this act as heat pumps, thus all the heat goes back to the compressor, while cooling occurs at the tools and regulator. Eh? Tim -- "That's for the courts to decide." - Homer Simpson Website @ http://webpages.charter.net/dawill/tmoranwms |
#17
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Gary Coffman writes:
Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Impossible. We agree that mass flow (CFM) is conserved (equal) on either side of the regulator. We know: Power = CFM * pressure. The regulator imposes: pressure (out) pressure (in). Thus, since CFM is equal on both sides of the regulator, but pressure decreases, there is a loss of power in the output compared to the input. This ends up as heat as a direct consequence of the restriction that creates turbulence and lowers the pressure. This waste heat is mostly added to the output flow, even though the output may be at a cooler temperature due to expansion. Some of the power lost is hissing noise that radiates away and also eventually becomes heat. None of this is "visible" to the source, so it is not "simply retained in the tank". Look, if you want an air analog to an electrical transformer, you would have to have an air motor (not a diaphragm regulator) doing the pressure reduction, with the motor output used to regeneratively compress more free air. That way, power would be conserved, like a transformer, subject to some mechanical inefficiency. |
#18
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OK. CFM does not equal mass flow. CFM means simply cubic feet of air per
minute. The amount of mass in that air is proportional to both the pressure and the temperature, as described by the gas law PV = nRT. I agree there are second-order losses in a regulator. It might make some noise, and it might warm up a little or cool down a little. This is also true of a transformer. You know, what's *really* amazing is that I know Gary Coffman and Richard Kinch and I are all intelligent, good writers, and well educated, and yet we get THREE different answers. I'd just love to get to the point of agreement. So, Richard, I DISAGREE that cfm is equal on either side of the regulator. It cannot be because mass is conserved! (See my previous posts) I think it *is* like a transformer. Grant Erwin Richard J Kinch wrote: Gary Coffman writes: Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Impossible. We agree that mass flow (CFM) is conserved (equal) on either side of the regulator. We know: Power = CFM * pressure. The regulator imposes: pressure (out) pressure (in). Thus, since CFM is equal on both sides of the regulator, but pressure decreases, there is a loss of power in the output compared to the input. This ends up as heat as a direct consequence of the restriction that creates turbulence and lowers the pressure. This waste heat is mostly added to the output flow, even though the output may be at a cooler temperature due to expansion. Some of the power lost is hissing noise that radiates away and also eventually becomes heat. None of this is "visible" to the source, so it is not "simply retained in the tank". Look, if you want an air analog to an electrical transformer, you would have to have an air motor (not a diaphragm regulator) doing the pressure reduction, with the motor output used to regeneratively compress more free air. That way, power would be conserved, like a transformer, subject to some mechanical inefficiency. |
#19
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In article , Richard J Kinch
says... We agree that mass flow (CFM) Stop right there. Mass flow and CFM are not the same thing. Once you realize this you can begin to think about the issue in a different way. Cubic feet per minute is only a time rate of volume. So in a given time (say one minute) a give volume of material will pass through your system. Depending on the pressure inside the volume, you can have all different amounts of material. For example, a liter of gas at atmosperic pressure has only a few atoms. If you image the same volume at scuba tank pressure, it has a lot more atoms inside. Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#20
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In article , Tim Williams says...
So where does the heat go? In the case where large amounts of gas are expanding, the expansion valve will cool, and the heat from the surrounding area will flow into the region. Also the gas will exit the expansion valve at a lower temperature than it came in at. This is how gas liquifers are designed, either with direct expansion valves or with expansion turbines, where the gas actually performs mechanical work as it expands, and thus cools. ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#21
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"The thing people seem to be having trouble grasping is that CFM is a
measure of mass flow." Hmmm, well.... CFM is volume/min, and per-se is not related to mass flow. SCFM, on the other hand, indirectly specifies a mass flow because the air is at STP. Have a look at http://www.cleandryair.com/scfm_vs__icfm_vs__acfm.htm Roger Gary Coffman wrote: On Tue, 23 Dec 2003 09:41:46 -0800, Grant Erwin wrote: I am an electrical engineer and so I view things from that perspective. I considered the issue of the regulator and essentially my analysis agrees with Gary's 100%. I believe 2 things to be true: 1. Mass is conserved (what goes into the regulator must come out) 2. To first order, energy is conserved through the regulator That's why I don't see why flow x pressure wouldn't be constant across a regulator in steady state. Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load. The cfm going into the regulator is measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? 10 CFM of course. As you note, mass is conserved, or as Kirchhoff's laws tell us, current is everywhere the same in a series mesh. There is nowhere else for the air to go. If it has a certain mass flow into the valve, it has to have exactly the same mass flow out of it. The thing people seem to be having trouble grasping is that CFM is a measure of mass flow. This is pretty obvious for an incompressible liquid like water, but for a gas, CFM has to be stated in terms of a standard temperature and pressure. That's been defined by the standards bodies to be 68 F and 1 atmosphere. Gary |
#23
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In article , Roger Head says...
Hmmm, well.... CFM is volume/min, and per-se is not related to mass flow. SCFM, on the other hand, indirectly specifies a mass flow because the air is at STP. Other gasses are also specified in SCFM. It doesn't have to be air. You would have different mass flows for one scfm of, say, hydrogen vs the same scfm of xenon. Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
#24
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Yes, I started that thread too. The reason that this has come back is that
I was never convinced the last time. Let me ask YOU, Ned, to answer my question? I'll repeat it: Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load of such a size as to make the cfm going into the regulator measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? Grant Erwin Ned Simmons wrote: No, as Richard said, a linear regulator is a better, but not very good, analogy. I think any analogy between electricity and a compressible gas is doomed. You really need to resort to thermodynamics to do this subject justice. But air regulators *are* lossy devices, and not just incidental losses as in a transformer. Last time this came around (and it looks like you started it that time too, Grant g) I tried to avoid thermo (which I don't feel qualified to preach after a 30 years lapse) and explain the loss by resorting to an example of the potential of a given mass of air do do work on a piston, starting from different pressures. This is the last post in the thread: http://groups.google.com/groups? q=g:thl672785172d&dq=&hl=en&lr=&ie=UTF-8&oe=UTF-8 &selm=MPG.189e9353cdce4f36989893%40news.rcn.com Ned Simmons In article , says... OK. CFM does not equal mass flow. CFM means simply cubic feet of air per minute. The amount of mass in that air is proportional to both the pressure and the temperature, as described by the gas law PV = nRT. I agree there are second-order losses in a regulator. It might make some noise, and it might warm up a little or cool down a little. This is also true of a transformer. You know, what's *really* amazing is that I know Gary Coffman and Richard Kinch and I are all intelligent, good writers, and well educated, and yet we get THREE different answers. I'd just love to get to the point of agreement. So, Richard, I DISAGREE that cfm is equal on either side of the regulator. It cannot be because mass is conserved! (See my previous posts) I think it *is* like a transformer. Grant Erwin Richard J Kinch wrote: Gary Coffman writes: Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Impossible. We agree that mass flow (CFM) is conserved (equal) on either side of the regulator. We know: Power = CFM * pressure. The regulator imposes: pressure (out) pressure (in). Thus, since CFM is equal on both sides of the regulator, but pressure decreases, there is a loss of power in the output compared to the input. This ends up as heat as a direct consequence of the restriction that creates turbulence and lowers the pressure. This waste heat is mostly added to the output flow, even though the output may be at a cooler temperature due to expansion. Some of the power lost is hissing noise that radiates away and also eventually becomes heat. None of this is "visible" to the source, so it is not "simply retained in the tank". Look, if you want an air analog to an electrical transformer, you would have to have an air motor (not a diaphragm regulator) doing the pressure reduction, with the motor output used to regeneratively compress more free air. That way, power would be conserved, like a transformer, subject to some mechanical inefficiency. |
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![]() Gary Coffman wrote: snipped But the key thing to understand here is that a resistance need not be *dissipative*. A good electrical example is a triode tube, or *valve* as the British called them. The control voltage on the grid changes the current flow through the tube by modulating what we call the plate resistance. But this isn't an actual dissipative resistance. It is a *mathematical fiction* we use to model the plate current valving action of the grid. Not really Gary: AC plate resistance is the "fictional one" and is defined as the dynamic ratio of plate voltage to changes in plate current at a *constant* grid voltage. DC plate resistance is the ratio of plate voltage to plate current and it is a *dissipative* resistance. That's what makes the plate of a triode (or a diode, tetrode or pentode tube) glow red hot if you "push it" too much. Don't take it too hard Gary G I had to confirm my dusty memories of this stuff at: http://www.lh-electric.4t.com/vt_primer4.html Jeff (Who burned his fingers more than once on those big black metal metal 6L6s he couldn't see had a cherry red plate.) -- Jeff Wisnia (W1BSV + Brass Rat '57 EE) "If you can smile when things are going wrong, you've thought of someone to blame it on." |
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![]() P1V1/T1 = P2V2/T2 !!!! You guys need to quit trying to complicate the simple answer! Unless you are talking SCFM in which case it will be 10 SCFM since any loss internal to the regulator will be reflected in the pressure at the outlet side of the regulator and temperature is canceled out in conversion to SCFM. Mass WILL be conserved. If you doubt me, try Compressed Air and Gas Data or any High School physics textbook. A cubic foot VOLUME is a cubic foot VOLUME regardless of pressure, temperature or phase of the moon. A STANDARD cubic foot, on the other hand is a specific mass of the gas in question. Which is why a 600 cfm compressor can have a 1/3 hp motor and a 10 cfm compressor can require a 500 hp motor. The 600 cfm compressor being a cooling fan producing flow @ an inch or two of water and the 10 cfm compressor producing flow @ 1000 psig. Obviously the 10 cfm @1000 psig results in a much larger SCFM than the 600cfm @ inches of H20. There will be no heating of the regulator since expansion of a gas is an endothermic sort of thing requiring enegy input. Incidentally the numbers for "STANDARD" conditions vary somewhat from country to country, but in the US we typically have used 14.696 psi, 60 deg. F and 0% relative humidity Gary Hallenbeck On Tue, 23 Dec 2003 19:34:21 -0800, Grant Erwin wrote: Yes, I started that thread too. The reason that this has come back is that I was never convinced the last time. Let me ask YOU, Ned, to answer my question? I'll repeat it: Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load of such a size as to make the cfm going into the regulator measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? Grant Erwin Ned Simmons wrote: No, as Richard said, a linear regulator is a better, but not very good, analogy. I think any analogy between electricity and a compressible gas is doomed. You really need to resort to thermodynamics to do this subject justice. But air regulators *are* lossy devices, and not just incidental losses as in a transformer. Last time this came around (and it looks like you started it that time too, Grant g) I tried to avoid thermo (which I don't feel qualified to preach after a 30 years lapse) and explain the loss by resorting to an example of the potential of a given mass of air do do work on a piston, starting from different pressures. This is the last post in the thread: http://groups.google.com/groups? q=g:thl672785172d&dq=&hl=en&lr=&ie=UTF-8&oe=UTF-8 &selm=MPG.189e9353cdce4f36989893%40news.rcn.com Ned Simmons In article , says... OK. CFM does not equal mass flow. CFM means simply cubic feet of air per minute. The amount of mass in that air is proportional to both the pressure and the temperature, as described by the gas law PV = nRT. I agree there are second-order losses in a regulator. It might make some noise, and it might warm up a little or cool down a little. This is also true of a transformer. You know, what's *really* amazing is that I know Gary Coffman and Richard Kinch and I are all intelligent, good writers, and well educated, and yet we get THREE different answers. I'd just love to get to the point of agreement. So, Richard, I DISAGREE that cfm is equal on either side of the regulator. It cannot be because mass is conserved! (See my previous posts) I think it *is* like a transformer. Grant Erwin Richard J Kinch wrote: Gary Coffman writes: Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Impossible. We agree that mass flow (CFM) is conserved (equal) on either side of the regulator. We know: Power = CFM * pressure. The regulator imposes: pressure (out) pressure (in). Thus, since CFM is equal on both sides of the regulator, but pressure decreases, there is a loss of power in the output compared to the input. This ends up as heat as a direct consequence of the restriction that creates turbulence and lowers the pressure. This waste heat is mostly added to the output flow, even though the output may be at a cooler temperature due to expansion. Some of the power lost is hissing noise that radiates away and also eventually becomes heat. None of this is "visible" to the source, so it is not "simply retained in the tank". Look, if you want an air analog to an electrical transformer, you would have to have an air motor (not a diaphragm regulator) doing the pressure reduction, with the motor output used to regeneratively compress more free air. That way, power would be conserved, like a transformer, subject to some mechanical inefficiency. |
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Gary Coffman wrote:
On Tue, 23 Dec 2003 02:19:00 -0600, Richard J Kinch wrote: An air regulator is not at all analogous to an electric transformer. The proper analogy is to a three-terminal voltage regulator. Energy is lost; that is how the regulator works. The CFM (or SCFM) on either side of the air regulator is necessarily equal. The pressure drops. Power is lost and turned into heat. No. A *shunt* regulator would behave the way you describe, but this is a series regulator. The regulator is a feedback controlled valve. It is not a dissipative device. It controls the mass flow of air from the tank such that a particular set pressure develops against the flow resistance existing downstream of the valve. It does not bleed excess air to atmosphere in order to do this, it does not get perceptibly hot. So any energy not required to achieve the set downstream pressure *remains in the tank*. It is not lost or turned to heat. SCFM *is* a measure of mass flow. At equilibrium flows, the mass flow into the valve *is* the same as the mass flow out of the valve. If we consider this mass flow analogous to current, then we can apply Kirchhoff's laws and show that the current is everywhere the same in a series mesh. We can also use Kirchhoff's laws to show that voltage (pressure) drops across the regulator valve and across the downstream flow resistances sum to tank pressure. In other words, the sum of the voltages around a series mesh equal zero, with the tank pressure (analogous to a battery) treated as positive and the pressure drops across the various flow resistances treated as negative. But the key thing to understand here is that a resistance need not be *dissipative*. A good electrical example is a triode tube, or *valve* as the British called them. The control voltage on the grid changes the current flow through the tube by modulating what we call the plate resistance. But this isn't an actual dissipative resistance. It is a *mathematical fiction* we use to model the plate current valving action of the grid. Similarly, the diaphram of the air regulator merely modulates the flow through the valve by opening or closing the valve. Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Gary In normal circumstances while enough air is being used. In the case of gas regulators, and probably any critical regulator, a valve closing too quickly on the downstream side will cause a buildup of pressure that the regulator will not be able to prevent by modulating. The excess gas is vented to the atmosphere. It has to be vented to some lower pressure region or there is no way the regulator can reduce the pressure. Gas utilities have to tweak spring rates to get the right performance and supply out of regulators. WRT the postulated problem of X CFM going in, that's really like starting with the problem already solved and backing out the answer, since there is no ideal regulator. The chambers of the regulator would have to be sufficiently large as to cause no significant resistance to flow for us to be confident that 10 CFM at 100 PSI with no regulator would result in 20 CFM at 50 PSI on the outlet side of the regulator. Starting the problem with what is coming out of the regulator would make more sense to me. |
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"Richard J Kinch" wrote in message
. .. Look, if you want an air analog to an electrical transformer, you would have to have an air motor (not a diaphragm regulator) doing the pressure reduction, with the motor output used to regeneratively compress more free air. That way, power would be conserved, like a transformer, subject to some mechanical inefficiency. Actually, that'd be a rotary phase converter type deal. An inverter would be a whistle, and a transformer would be acoustical in nature. This makes sense since the only way to regulate DC is a variable resistance (as a pass or shunt regulator), likewise it is for air at pressure. Tim -- "That's for the courts to decide." - Homer Simpson Website @ http://webpages.charter.net/dawill/tmoranwms |
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Ned Simmons wrote:
In article , says... Yes, I started that thread too. The reason that this has come back is that I was never convinced the last time. Let me ask YOU, Ned, to answer my question? I'll repeat it: Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load of such a size as to make the cfm going into the regulator measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? If we assume that the air behaves as an ideal gas and the pressures are absolute, then there'll be 20 CFM @ 90 psia flowing out of the regulator. I don't think there's ever been any question about that. But that doesn't mean that there isn't a loss in the potential of that air to do work. CFM X psi for a compressible gas is not analogous to volts X amps. Ned Simmons You're correct, it can not do the same mechanical work, that energy has been accounted for in the thermodynamic changes, as you stated previously. The process is obviously not reversible without the addition of mechanical energy, we can not use a "reverse" regulator to go to less CFM at a higher pressure, so the transformer analogy does not apply. |
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Gary Coffman wrote:
On Tue, 23 Dec 2003 02:19:00 -0600, Richard J Kinch wrote: An air regulator is not at all analogous to an electric transformer. The proper analogy is to a three-terminal voltage regulator. Energy is lost; that is how the regulator works. The CFM (or SCFM) on either side of the air regulator is necessarily equal. The pressure drops. Power is lost and turned into heat. No. A *shunt* regulator would behave the way you describe, but this is a series regulator. The regulator is a feedback controlled valve. It is not a dissipative device. It controls the mass flow of air from the tank such that a particular set pressure develops against the flow resistance existing downstream of the valve. It does not bleed excess air to atmosphere in order to do this, it does not get perceptibly hot. So any energy not required to achieve the set downstream pressure *remains in the tank*. It is not lost or turned to heat. SCFM *is* a measure of mass flow. At equilibrium flows, the mass flow into the valve *is* the same as the mass flow out of the valve. If we consider this mass flow analogous to current, then we can apply Kirchhoff's laws and show that the current is everywhere the same in a series mesh. We can also use Kirchhoff's laws to show that voltage (pressure) drops across the regulator valve and across the downstream flow resistances sum to tank pressure. In other words, the sum of the voltages around a series mesh equal zero, with the tank pressure (analogous to a battery) treated as positive and the pressure drops across the various flow resistances treated as negative. But the key thing to understand here is that a resistance need not be *dissipative*. A good electrical example is a triode tube, or *valve* as the British called them. The control voltage on the grid changes the current flow through the tube by modulating what we call the plate resistance. But this isn't an actual dissipative resistance. It is a *mathematical fiction* we use to model the plate current valving action of the grid. Similarly, the diaphram of the air regulator merely modulates the flow through the valve by opening or closing the valve. Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Gary The regulator may not be "losing" air, (except in the shutdown case I mentioned in another post) but Richard is correct that the capacity to do practical mechanical work is lost as the air expands. If this was not the case you could get free air conditioning and still use the air to do the same work, which would be a free lunch. |
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jim rozen wrote:
In article , Grant Erwin says... Boy, I wish I had 2 flowmeters. You don't need them! You understand the physics behind it instead, which is better. Jim You two may understand the mass flow, but if you think it about it a little more, you will see that Richard Kinch is correct, the transformer analogy is not applicable. This is a thermodynamic problem, and an interesting illustration of how inefficient it is to compress air to a high pressure if it is only going to be used at a much lower pressure. |
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In article , ATP says...
the transformer analogy is not applicable. Analogies are useful for certain things, but I think you are correct, I would not use 'transformer' as an analog for a gas regulator. Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
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In article , ATP says...
... we can not use a "reverse" regulator to go to less CFM at a higher pressure, ... Well if you figure out a way to do this, please let me know about it right away! I want to invest in your company then. ![]() Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
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In article , Grant Erwin says...
Yes, I started that thread too. The reason that this has come back is that I was never convinced the last time. Let me ask YOU, Ned, to answer my question? I'll repeat it: Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load of such a size as to make the cfm going into the regulator measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? Grant Erwin Ned Simmons wrote: No, as Richard said, a linear regulator is a better, but not very good, analogy. I think any analogy between electricity and a compressible gas is doomed. You really need to resort to thermodynamics to do this subject justice. But air regulators *are* lossy devices, and not just incidental losses as in a transformer. Last time this came around (and it looks like you started it that time too, Grant g) I tried to avoid thermo (which I don't feel qualified to preach after a 30 years lapse) and explain the loss by resorting to an example of the potential of a given mass of air do do work on a piston, starting from different pressures. This is the last post in the thread: http://groups.google.com/groups? q=g:thl672785172d&dq=&hl=en&lr=&ie=UTF-8&oe=UTF-8 &selm=MPG.189e9353cdce4f36989893%40news.rcn.com Ned Simmons In article , says... OK. CFM does not equal mass flow. CFM means simply cubic feet of air per minute. The amount of mass in that air is proportional to both the pressure and the temperature, as described by the gas law PV = nRT. I agree there are second-order losses in a regulator. It might make some noise, and it might warm up a little or cool down a little. This is also true of a transformer. You know, what's *really* amazing is that I know Gary Coffman and Richard Kinch and I are all intelligent, good writers, and well educated, and yet we get THREE different answers. I'd just love to get to the point of agreement. So, Richard, I DISAGREE that cfm is equal on either side of the regulator. It cannot be because mass is conserved! (See my previous posts) I think it *is* like a transformer. Grant Erwin Richard J Kinch wrote: Gary Coffman writes: Mathematically, this has the same appearance as a dissipative resistance, but there is *no dissipation*. Energy not used is simply retained in the tank. Impossible. We agree that mass flow (CFM) is conserved (equal) on either side of the regulator. We know: Power = CFM * pressure. The regulator imposes: pressure (out) pressure (in). Thus, since CFM is equal on both sides of the regulator, but pressure decreases, there is a loss of power in the output compared to the input. This ends up as heat as a direct consequence of the restriction that creates turbulence and lowers the pressure. This waste heat is mostly added to the output flow, even though the output may be at a cooler temperature due to expansion. Some of the power lost is hissing noise that radiates away and also eventually becomes heat. None of this is "visible" to the source, so it is not "simply retained in the tank". Look, if you want an air analog to an electrical transformer, you would have to have an air motor (not a diaphragm regulator) doing the pressure reduction, with the motor output used to regeneratively compress more free air. That way, power would be conserved, like a transformer, subject to some mechanical inefficiency. ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
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In article , Grant Erwin says...
Postulate a big air tank pressurized to 180 psi, with a long (long enough so the air has time to cool to ambient) pipe to an ideal regulator which regulates the pressure down to 90 psi. The regulator's output is a pipe of the same size which is connected to a constant load of such a size as to make the cfm going into the regulator measured to be 10 cfm @ 180 psi. What cfm will come out of the regulator at 90 psi? Because you posed the question as "CFM" output, not SCFM (and of course, if you *were* specifying SCFM then you could not say "90 psi output!") then the answer has to be 20 psi as long as the pressures are in absolute, not gage. Close for gage, but not exact. Jim ================================================== please reply to: JRR(zero) at yktvmv (dot) vnet (dot) ibm (dot) com ================================================== |
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Grant Erwin writes:
CFM does not equal mass flow No, this is wrong again. CFM *does* equal mass flow. I think you don't understand what "CFM" and "SCFM" mean. One CFM means a cubic foot of air at 1 atm pressure ("free" air), flowing per minute. Or the equivalent mass of air at any other pressure. It does NOT mean one cubic foot of air at any other pressure. The "S" prefixed simply specifies the input free air is understood to be at 68 deg F and 36 percent relative humidity, to simplify the variations of system performance (usually, but not always, slight) due to those variables. |
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Gary Hallenbeck writes:
A cubic foot VOLUME is a cubic foot VOLUME regardless of pressure, temperature or phase of the moon. A STANDARD cubic foot, on the other hand is a specific mass of the gas in question. Which is why a 600 cfm compressor can have a 1/3 hp motor and a 10 cfm compressor can require a 500 hp motor. The 600 cfm compressor being a cooling fan producing flow @ an inch or two of water and the 10 cfm compressor producing flow @ 1000 psig. Obviously the 10 cfm @1000 psig results in a much larger SCFM than the 600cfm @ inches of H20. Again, you are misunderstanding. "SCFM" and "CFM" are the SAME THING, except that the "S" prefix indicates the input air for the system is specified to be 68 deg F and 36 percent relative humidity, while "CFM" without the "S" prefix just *does not* specify what the free air temperature and humidity are. Thus performance of a system in "CFM" could be "better", "about the same", or "worse" than in SCFM, depending on the temp and humidity of the ambient environment. |
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Roger Head writes:
Hmmm, well.... CFM is volume/min, and per-se is not related to mass flow. No, this is incorrect. See my other posts in this thread. SCFM, on the other hand, indirectly specifies a mass flow because the air is at STP. Also incorrect. Units of SCFM say NOTHING about the pressure of the air (versus 1 atm in STP). The temperature of the INPUT AIR is 68 deg F (versus 25 deg C in STP) and the humidity of the INPUT AIR is 36 percent relative humidity (STP does not specify humidity). An SCFM figure tells you NOTHING about the pressure or the temperature or the humidity of the COMPRESSED air. It merely says how much INPUT AIR is present in whatever the system delivers in compressed form. That is why an SCFM figure without an associated pressure is meaningless. And why, to be complete, you need to factor in a cooler and drier as well, to improve the temperature and humidity of the compressed air (otherwise it is hot and wet, not good for tool performance or longevity). |
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jim rozen writes:
Cubic feet per minute is only a time rate of volume. No, no, no, no, no. CFM in compressors refers to the flow rate OF THE INPUT AIR AT ATMOSPHERIC PRESSURE. Depending on the pressure inside the volume, you can have all different amounts of material. I understand what you mean by that, but that is not what the term "CFM" means. "CFM" does NOT mean cubic feet per minute of COMPRESSED AIR. It means the cubic feet per minute of the INPUT AIR it took to make the COMPRESSED AIR. Thus one CFM is always the same mass flow at any delivery pressure. |
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