Shmulik:
As I stated, it doesn't take very long to resolve a problem when you have all (or most) of the basic data. You still haven't furnished all the basic data you possess, but I have made the necessary assumptions. I've sent you an Excel workbook where you will find your problem all worked out, using the cooling water you insist on. Look in the worksheet titled "LCO2 vaporization". You will find that you require a minimum of 285 gpm of the water you specify, so your pump should just barely be able to meet that requirement. However, you have various trade-offs (in other words, now for the bad news...):
1) Your 26,400 gallon tank only furnishes 1.5 hours of water supply;
2) You state that the max (design) CO2 vaporization rate is 4,800 kg/hr, but you don't state is this is a sustained and steady supply requirement. I mention this because yours has to be one (or the) of the world's largest bottling plant complexes! You must have a captive CO2 generation plant(s) on site working 100% of the time. I don't see how you could tolerate the tanker truck traffic to import LCO2 into your main storage tank at those consumption rates. I've been in many world-scale bottling plants - this one has to be the biggest.
3) What you intend to do with the "cooled" water that is used as the heat source is something you totally leave out. I assume you're going to heat it up back to the 50 oF. Otherwise, you're going to shut down your vaporizer afer 90 minutes of operation.
4) You must do something with your heating water, which you don't describe; you'll need another pump to take it some where else. I would not use a pressurized, enclosed, shell & tube unit. It is too expensive and not required.
Your vaporization duty of 1.3 MM btu/hr is going to have to be matched in capacity of some external heating source to raise the water temperature back to inlet specifications. I leave that up to you, assuming that you'll use a direct-fired gas heater. By the way, using propylene glycol solution is perfectly sanctioned and found to be OK by the USA's FDA. Propylene Glycol is not recommended for human consumption, but it is OK for human consumption. I have used it as a dry ice binder on direct cooling applications of sausage, pork, chicken, and other human foods with no legal problems and the sanction of the FDA because it is considered food-grade. Also, your statement implies that there is a possibility of the glycol getting into the vaporized CO2. This is not correct. The CO2 vapor exists at approximately 250 psig and the the glycol solution would be much lower. Any coil leak would allow CO2 to invade the solution cycle and not vice-versa. If you have to utilize a warm fluid vaporizer instead of an electric model (because of the size, for example), then I would use a propylene glycol solution in a closed circuit with a direct-fired heater. The size of the capacity required points towards this type of solution. Steam heating would be more expensive - especially in a bottling plant application.
Note the simplicity of the vaporizer controls in my detailed drawing in the workbook. Everything relies only on the successful operation of the automatic block valve. The control scheme is fail proof and is inherently automatic. The kicker is that you have to maintain the 285 gpm of constant heating water circulated 100% of the time.
I have no idea what you mean by "a.m. tank" or the phrase "CO2 space is drained off". I have a lot of questions about this applications and the constraints put on it, but it would draw out this thread endlessly. We don't have an identity of where this is or it's name, so I'll end this on this note.
Hope you're happy with the results.
Art Montemayor
Spring, TX