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portata gas mc vs nmc

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gigafra

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doubt: on a plant with various gas lines, I am given the flow in normal cubic meters. but gases are under pressure conditions and temperatures other than normal (0°c-1 atm). in an excel file that I use for sizing tubes where I insert the scope what should I consider? the flow in normal cubic meters or the "effective" (to be obtained by changing the density) in cubic meters with gas in the operating conditions?
 
density (and therefore the flow rate in volume) of a gas varies according to pressure and temperature, as you said: so it is not that it is "right" to consider a pair of values rather than another, but that you are consistent with hiring.

in practice, if you need to size a tube, I always recommend to proceed in this way (maybe a little pedant but that eliminates every uncertainty):

1. you calculate the mass flow starting from the flow in normal volume (note), multiplying the latter by the normal density of the gas (also known). the mass flow is obviously independent of the reference conditions and constant throughout the plant;

2. knowing that the mass flow is equal to rho x c x a, being rho the density (this time to the reference conditions) and c the average speed, you calculate to (tube area) once limited c (es 20 m/s) to the reference conditions you have in that section, considering the always constant mass flow (as mentioned in 1). the calculation of rho to the reference conditions must be done with the law of rho gas = p/zrt, with p absolute pressure, r specific constant of the gas (=8314/mw), t absolute temperature, neglecting the compressibility (z=1) if you are low pressure (otherwise z is to be evaluated in other ways).
 
I also agree, I have done it several times for the calculation of air ducts. maintaining constant mass flow, actual conditions are calculated.
 
density (and therefore the flow rate in volume) of a gas varies according to pressure and temperature, as you said: so it is not that it is "right" to consider a pair of values rather than another, but that you are consistent with hiring.

in practice, if you need to size a tube, I always recommend to proceed in this way (maybe a little pedant but that eliminates every uncertainty):

1. you calculate the mass flow starting from the flow in normal volume (note), multiplying the latter by the normal density of the gas (also known). the mass flow is obviously independent of the reference conditions and constant throughout the plant;

2. knowing that the mass flow is equal to rho x c x a, being rho the density (this time to the reference conditions) and c the average speed, you calculate to (tube area) once limited c (es 20 m/s) to the reference conditions you have in that section, considering the always constant mass flow (as mentioned in 1). the calculation of rho to the reference conditions must be done with the law of rho gas = p/zrt, with p absolute pressure, r specific constant of the gas (=8314/mw), t absolute temperature, neglecting the compressibility (z=1) if you are low pressure (otherwise z is to be evaluated in other ways).
Okay, all right. allego excel files with practical case but I doubt that the diameter received is too small. Did I do something wrong?
 

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density (and therefore the flow rate in volume) of a gas varies according to pressure and temperature, as you said: so it is not that it is "right" to consider a pair of values rather than another, but that you are consistent with hiring.

in practice, if you need to size a tube, I always recommend to proceed in this way (maybe a little pedant but that eliminates every uncertainty):

1. you calculate the mass flow starting from the flow in normal volume (note), multiplying the latter by the normal density of the gas (also known). the mass flow is obviously independent of the reference conditions and constant throughout the plant;

2. knowing that the mass flow is equal to rho x c x a, being rho the density (this time to the reference conditions) and c the average speed, you calculate to (tube area) once limited c (es 20 m/s) to the reference conditions you have in that section, considering the always constant mass flow (as mentioned in 1). the calculation of rho to the reference conditions must be done with the law of rho gas = p/zrt, with p absolute pressure, r specific constant of the gas (=8314/mw), t absolute temperature, neglecting the compressibility (z=1) if you are low pressure (otherwise z is to be evaluated in other ways).
I should basically consider the "normal" conditions to determine the mass flow and then the "effective" ones to dimensional the piping, correct?

sizing the piping with the only "normal" sizes is wrong, correct?
 
I should basically consider the "normal" conditions to determine the mass flow and then the "effective" ones to dimensional the piping, correct?

sizing the piping with the only "normal" sizes is wrong, correct?
no, because you have no normal conditions throughout the plant (in fact, maybe anywhere!), and therefore the density varies according to p and t: you have to know pressure and temperature of the section in question, and then determine the density at that point.
 
Okay, all right. allego excel files with practical case but I doubt that the diameter received is too small. Did I do something wrong?
to accurately calculate the density of a gas (real) at a given pressure and temperature you can also refer to nist, extremely referenced but that in the free version only manages pure fluids (as you need anyway) and not mixtures.

the density at 300 bar and 0 °c is therefore, from nist, of 22,2 kg/m3 (just different from what you have calculated). the diameter internal of the tube is 12 mm, and it seems absolutely realistic. you must then determine the thickness, using a suitable calculation code and choosing between the commercial tubes. I guess the pipe is in 316...
 
of course in your case we do not talk about welded piping (you wouldn't find the tubes so small) but of tubing connected: pay attention to the connection (I feel I recommend compression fittings or cones and threads - to 300 bar with tubes of this size you are a bit riding between the two types I believe) and to the connections with the rest of the system.
 
to accurately calculate the density of a gas (real) at a given pressure and temperature you can also refer to nist, extremely referenced but that in the free version only manages pure fluids (as you need anyway) and not mixtures.

the density at 300 bar and 0 °c is therefore, from nist, of 22,2 kg/m3 (just different from what you have calculated). the diameter internal of the tube is 12 mm, and it seems absolutely realistic. you must then determine the thickness, using a suitable calculation code and choosing between the commercial tubes. I guess the pipe is in 316...
Okay, all clear and thank you. we talk about hydrogen 300 bar and 0°c and I am given density about 26,4 kg/m3 both on website that I found and be using the perfect gas laws. instead nist says 22,2. the important gap that you get from comparison is due to the real gas difference vs perfect gas?
 
as written in the notes of the site you linked, the equation of perfect gases is used, which in certain circumstances is fine and in others not. Sometimes, the error you make in the calculation of density can also be 30%, not to mention other properties.
if you calculate the coefficient of compressibility of hydrogen at 0 °c and 300 bar with a state equation for real gases or simply referring to these Tables, get z=1,2: inserting it into the gas equation (z goes to multiply the rt product), get rho = 22,1 kg/m3, very similar to the nist value.
 
density (and therefore the flow rate in volume) of a gas varies according to pressure and temperature, as you said: so it is not that it is "right" to consider a pair of values rather than another, but that you are consistent with hiring.

in practice, if you need to size a tube, I always recommend to proceed in this way (maybe a little pedant but that eliminates every uncertainty):

1. you calculate the mass flow starting from the flow in normal volume (note), multiplying the latter by the normal density of the gas (also known). the mass flow is obviously independent of the reference conditions and constant throughout the plant;

2. knowing that the mass flow is equal to rho x c x a, being rho the density (this time to the reference conditions) and c the average speed, you calculate to (tube area) once limited c (es 20 m/s) to the reference conditions you have in that section, considering the always constant mass flow (as mentioned in 1). the calculation of rho to the reference conditions must be done with the law of rho gas = p/zrt, with p absolute pressure, r specific constant of the gas (=8314/mw), t absolute temperature, neglecting the compressibility (z=1) if you are low pressure (otherwise z is to be evaluated in other ways).
a question: would you give me a value to consider for distributed load losses (bar/km) admissible for a piping containing high pressure gas?
 
mah, it depends on what you have to do: usually as a basic rule you hold a gas speed around 15-20 m/s (lower risk of oversize), and then you manage the resulting load losses. in long distance transport (with initial pressure typical of 60 bar), given those speeds, it generally lets gas expand up to 40 bar before putting a recompression station. in any way I recommend starting from the end, i.e. to understand which pressure serves downstream.
 

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