## Fill time for a pressurised system

Hi everyone

I have a problem whereby I need to calculate the time to fill and then deflate a catheter balloon. This consists of a hand pump connected to a long tube which then widens out to the balloon vessel. I need to reach a certain pressure in the balloon. The balloon is already expanded and it is assumed no further expansion of the material will occur.

I know the volumetric flow rate (Q) from the hand pump. The length (L) of the tube is 1400mm. I have calculated the pressure drop across the tube (delP).

How to I determine how long it will take to fill both the tube and the balloon from vacuum to a given pressure and then how long to pull a vacuum on the system? Any help appreciated.

I previously used Pressure = mass*Gas Constant*Temperature/Volume. I did this at intervals until the pressure in the vessel equaled the pressure required, giving me the time required. However I found that this did not match my experiment. (The calculated times were much greater than the actual)

(I posted this earlier in the wrong the wrong forum, sorry)

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Hi sph99, welcome to the board.
 Quote by sph99 I have a problem whereby I need to calculate the time to fill and then deflate a catheter balloon. This consists of a hand pump connected to a long tube which then widens out to the balloon vessel. I need to reach a certain pressure in the balloon. The balloon is already expanded and it is assumed no further expansion of the material will occur. I know the volumetric flow rate (Q) from the hand pump. The length (L) of the tube is 1400mm. I have calculated the pressure drop across the tube (delP). How to I determine how long it will take to fill both the tube and the balloon from vacuum to a given pressure and then how long to pull a vacuum on the system? Any help appreciated. I previously used Pressure = mass*Gas Constant*Temperature/Volume. I did this at intervals until the pressure in the vessel equaled the pressure required, giving me the time required. However I found that this did not match my experiment. (The calculated times were much greater than the actual)
It should be as easy as determining the mass needed to fill the volume of the catheter and tube (you can assume ideal gas), then divide by the mass flow rate of the hand pump to get time to fill. Note that the gas required to fill the catheter and tube is the final mass of the gas less the initial mass of the gas. If this calculation doesn't mirror the actual experiment, check your assumptions for volumes, pressure, etc...

I would neglect any pressure drop through the tube for this since the time it takes for gas to travel the length of the 1400 mm tube is going to be negligible.

 Q_Goest, thanks for your reply. I should have pointed out that this balloon is filled using water or saline and not air. Am I correct in saying that I cannot then use the ideal gas laws? I have looked at Bernoulli but I dont know how to apply this when one end of the system is closed. Also it does not take into account the viscosity of the fluid.

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## Fill time for a pressurised system

Ok, if it's filled with a liquid, the ideal gas equation doesn't apply. Just take your two volumes and calculate the mass needed. The only thing you need is the liquid's density. You said you already have the pump flow rate so you don't need to analyze pressure drop or anything else, so there's no need for Bernoulli either.

 that will only work for atmospheric pressure. I want to determine the time to reach a higher pressure (600kPa). how do I find mass at a certain pressure?
 You are trying to pressurize a catheter to 90 psi?
 Yes, 6 atm or 90 psi is a fairly standard inflation pressure for coronary catheter balloons.
 Blog Entries: 7 Recognitions: Gold Member Homework Help Science Advisor Does the catheter stretch at 600kPa? I suspect it does. I wouldn't worry about a difference in saline density. That's not going to be measurable. But I suspect the catheter stretches, in which case it would be easiest to measure the increase in volume.
 No, the balloon is moulded into shape before use and will not stretch at 600 kPa
 Blog Entries: 7 Recognitions: Gold Member Homework Help Science Advisor So you know the volume of the catheter and tube at 600 kPa then? Is there anything else you're confused about?
 Thanks! I also need to work out deflation time but that's just the same thing in reverse. I have to also work out the inflation time at 1800kPa. The balloon will stretch in this case. How would I go about that? It is a safety check that we must do. Thanks again

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