Previous in Forum: HEPA Filters   Next in Forum: Morse Taper Designs
Close
Close
Close
13 comments
Rate Comments: Nested
Associate

Join Date: Feb 2010
Posts: 27

Calculating GPM Flow When Combining Multiple Sources

02/25/2010 3:31 PM

Here's the scenario:

3 reserve water tanks. Each with a bladder psi of 7lb. with 1/4" output tubing.

Each tank, when filled, allow for 2/3gpm (.68g) flow rate.

If all 3 tanks where combined with a "T" and were fed through a 1/2" tube (say 3 feet), what would be the maximum gpm rate possible?

What could be achieved by raising the tank output pressure(s) to 10psi?

Looking for a way to obtain a sold 2-3 gpm flow from a 1/2 pipe. Perhaps a booster pump after the tanks. Would like to achieve this with no more than 4 tanks. All tanks are fitted with ¼" nozzles.

Tanks are fed with a steady 100psi (1/8gpm) flow from an osmosis system.

Register to Reply
Interested in this topic? By joining CR4 you can "subscribe" to
this discussion and receive notification when new comments are added.

Good Answers:

These comments received enough positive votes to make them "good answers".
Guru

Join Date: Oct 2008
Posts: 42355
Good Answers: 1693
#1

Re: Calculating GPM Flow When Combining Multiple Sources

02/25/2010 7:03 PM

I must really be dense. If inflow is 1/8 gpm, how do you propose to get more out of the tanks than that?

Register to Reply
Associate

Join Date: Feb 2010
Posts: 27
#2
In reply to #1

Re: Calculating GPM Flow When Combining Multiple Sources

02/25/2010 10:39 PM

Here's how it works.

The 4 gallon tanks are fed slowly with a constant flow of roughly .15gpm. It takes a while to build up the tanks but when they're filled, the system doesn't rely on anything other than the tanks to supply the water.

Picture 3 4-gallon tanks that never really have to give up more than half their supply in a day.

Now each (7psi pressurized) tank can supply .68gpm through 1/4" tubing. I'd like to combine the 1/4" tubes so that I can obtain 2 gpm out of a 1/2" spout.

With me here?

I'd like to know if there's a simple way to calculate how much psi I'd need to add coming out of a tank to add additional volume and how much.

Also, when combining 2 or 3 1/4" hoses into one 1/2" tube, is there and loss due to surface tension, voulme reduction, etc.

Register to Reply
Guru
Engineering Fields - Control Engineering - Time to take control United States - Member - New Member Engineering Fields - Systems Engineering - New Member Engineering Fields - Mechanical Engineering - New Member

Join Date: Apr 2009
Location: Tampa, Florida, USA
Posts: 2129
Good Answers: 87
#3
In reply to #2

Re: Calculating GPM Flow When Combining Multiple Sources

02/25/2010 11:42 PM

I'm not quite clear on what you are trying to accomplish.

To begin with, you don't get pressure (psi) out of a tank. The tank(s) will provide flow, the pressure will be a result of the resistance in your plumbing network and how much effort is being applied to the volume of fluid (pressurized with a bladder or the height of fluid (or both)). With with 3 tanks able to supply 0.68 gpm there is no way to get more than 2.04 gpm out (if that). With 4 tanks you won't get more than 2.72 gpm.

If you are asking to what pressure must the tanks be pressurized to increase the flow output of each tank so that you can get 3 gpm out of the sum of all flows, then that's a different story.

__________________
J B
Register to Reply
Associate

Join Date: Feb 2010
Posts: 27
#5
In reply to #3

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 12:49 AM

I assumed we could use the term "bladder" and tank interchangeably. The tank is filled with air at 7psi. This pressure causes the BLADDER to force the water out of the tank (gravity notwithstanding). We have the ability to increase the psi tank value but in doing so, decrease the maximum volume of water the tank can hold.

So the question was also; if 7 psi through 10 feet of 1/4" ID tubing yields .68gpm, how would we calculate the flow rate when the psi is raised?

Second, if you fed three 1/4" feeds in to one 1/2" faucet with a "YY" adapter, would the math be as simple as A+B+C?

Register to Reply
Guru
Engineering Fields - Control Engineering - Time to take control United States - Member - New Member Engineering Fields - Systems Engineering - New Member Engineering Fields - Mechanical Engineering - New Member

Join Date: Apr 2009
Location: Tampa, Florida, USA
Posts: 2129
Good Answers: 87
#7
In reply to #5

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 1:05 AM

Thank you for the clarification.

You are correct that the tanks won't hold as much water if you increase the tank pressure. But in going from 7 psi to 10 psi the difference would only be 0.12 gallons less water. So that's just a little more than a 3% loss in storage capacity.

if 7 psi through 10 feet of 1/4" ID tubing yields .68gpm, how would we calculate the flow rate when the psi is raised?

use what was given in the previous post.

if you fed three 1/4" feeds in to one 1/2" faucet with a "YY" adapter, would the math be as simple as A+B+C?

Theoretically probably not, but in a practical sense, yes.

__________________
J B
Register to Reply
2
Guru
Technical Fields - Technical Writing - New Member Engineering Fields - Piping Design Engineering - New Member

Join Date: May 2009
Location: Richland, WA, USA
Posts: 21017
Good Answers: 795
#4

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 12:43 AM

Flow is proportional to the square root of pressure drop, so if you get 0.68 gpm at 7 psid, at 10 psid you should get 0.68 √(10/7) ≈ 0.81 gpm per tank. The area of the 1/2-inch combined line is greater than the combined area of the 3 feeders, but the additional length will add a small resistance. Thus I would rough-guess about 2.2 gpm combined flow. That's a bit oversimplified, and I'm not sure the 1/4-inch tubes can pass the 0.68 gpm at only 7 psid. It also depends on how long they are, including equivalent length of fittings.

I don't have my Moody/Darcy-Weisbach spreadsheet on this computer, but I can try to check further. The calcs really need to be done based on the I.D.s and lengths of the tubes/pipes, if you have that info.

__________________
In vino veritas; in cervisia carmen; in aqua E. coli.
Register to Reply Good Answer (Score 2)
Associate

Join Date: Feb 2010
Posts: 27
#6
In reply to #4

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 12:59 AM

This was a great answer. Thank you. You brought up a great point. The tanks have a static "pre-fill" pressure of 7psi. Once the system pumps water in, the pressure will read about 28psi (this is when the osmosis system shuts down).

I was surprised that 1/4" tubing at 100psi (the input feed to the system) provides flow of about 1.6gpm (give or take).

One additional question would be rather than summing together 4 or 5 tanks, would it be more feasible to slap on a 20g tank in the system and run a post booster pump?

Some manufacturers recommended against pumps after the tank. Not sure if I can imagine how a +30psi booster pump can damage the tank's bladder. Any ideas with that?

Register to Reply
Guru
Technical Fields - Technical Writing - New Member Engineering Fields - Piping Design Engineering - New Member

Join Date: May 2009
Location: Richland, WA, USA
Posts: 21017
Good Answers: 795
#8
In reply to #6

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 1:11 AM

At the 28 psi pressure, those flows probably make sense. Unless the 3 smaller tanks are already part of some package, I like the single larger tank. A 1/2-inch connection sounds about right. Again a rough guess.

__________________
In vino veritas; in cervisia carmen; in aqua E. coli.
Register to Reply
Guru
United Kingdom - Member - Indeterminate Engineering Fields - Control Engineering - New Member

Join Date: Jan 2007
Location: In the bothy, 7 chains down the line from Dodman's Lane level crossing, in the nation formerly known as Great Britain. Kettle's on.
Posts: 32175
Good Answers: 839
#9

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 3:15 AM

Why not get rid of the tanks and feed the [whatever needs the 2-3gpm] directly off the supply?

The only purpose for a tank is to let the level go up and down!

__________________
"Did you get my e-mail?" - "The biggest problem in communication is the illusion that it has taken place" - George Bernard Shaw, 1856
Register to Reply
Guru
Engineering Fields - Control Engineering - Time to take control United States - Member - New Member Engineering Fields - Systems Engineering - New Member Engineering Fields - Mechanical Engineering - New Member

Join Date: Apr 2009
Location: Tampa, Florida, USA
Posts: 2129
Good Answers: 87
#10
In reply to #9

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 3:33 AM

The initial flow supply is not high enough, the fluid is accumulated in the tanks providing a higher flow rate for short periods when demanded.

__________________
J B
Register to Reply
Guru
Hobbies - Fishing - Old Salt Hobbies - CNC - New Member United States - US - Statue of Liberty - New Member

Join Date: Mar 2007
Location: Rosedale, Maryland USA
Posts: 5197
Good Answers: 266
#11

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 8:29 AM

"Looking for a way to obtain a sold 2-3 gpm flow from a 1/2 pipe"

If you are using head pressure to insure a continuous flow at a rated volume that pressure has to be held constant. For as the tanks empty the head pressure will decrease reducing your flow rate. If you are depending on the 100psi 1/8 gpm flow to create this head pressure for continuous flow. The duration for use will be short. You are trying to get a lot more volume out then you are putting in. Storage capacity of the tanks and the duration in which you expect to obtain has to be known.

Would be easier to use a pump.

__________________
Life is not a journey to the grave with the intention of arriving in a pretty, pristine body but rather to come sliding in sideways, all used up and exclaiming, "Wow, what a ride!"
Register to Reply
2
Guru

Join Date: May 2009
Location: Wolfe Island, ON
Posts: 1357
Good Answers: 109
#12

Re: Calculating GPM Flow When Combining Multiple Sources

02/26/2010 11:21 AM

The flow rates will be proportional to the pressure (see Tornado #4 answer above but remember you are dealing with a precharge). You can find nomographs to help calculate your flow in the "Handbook of Water Treatment" by Wiley and sons. This book is over 1000 pages and has lots of info but not sure if it is what you need. If the bladder type tanks are pre-pressured to 7 psi, there will be no flow from the tanks when the pressure is at this level. The flow will increase to as much as 1.6 gpm as the pressure increases to 27 psi. The max flow from a tank like this will only be momentary and perhaps that is why the design flow is 0.68 gpm which is sort of average flow. In either case there is no dependable way to obtain a solid 2-3 gpm at any given time. How big is the feed RO in terms of production. If it is a 400 gallon per day, for example, I would suggest you use only 50% of this or 200 gpd or 0.14 gpm as a practical output. This output could be downgraded even more if you are using very cold surface water in the winter.

As a better option if you need a flow of 2 or 3 gpm would be to have the discharge of the RO unit directed to open or atmospheric pressure storage. The tanks and RO could be located higher than the point of use and you can then drain the tank at whatever rate you want. Alternatively you could re-pump from the storage tank. This action will also improve the RO output because you will not have to contend with any precharge. it would do away with all pressure tanks and optimize RO output.

This is a link to another orfice nomograph found online.

http://pubs.acs.org/doi/abs/10.1021/ie50375a034

__________________
If they want holy water, tell them to boil the hell out of it.
Register to Reply Good Answer (Score 2)
Associate

Join Date: Feb 2010
Posts: 27
#13

Fluid Dynamics and Formulas Needed...

03/19/2010 10:33 AM

Can anyone answer these additional questions?

SYSTEM IN PLACE:

Purified water system (RO) capable of about 1 gallon per hour refill rate (25gpd) at 80psi municipal.
(2) 8psi pressurized 3.2g bladder tanks with ¼" outlets.
-Static system pressure 45psi.
-Dynamic system pressure, both tanks on, single ¼" faucet flow 30psi (1.4gpm flow-rate).
-Dynamic system pressure, single tank 10psi (.66gpm flow-rate).

QUESTIONS:

What is the maximum GPM rate capacity (and formula) of ¼" tubing (max of 100psi & no more than 10ft.)

--- The following questions assume that no more than 1 gallon will ever be pulled from the system at any given time ---

What formula defines this difference on flow-rate on the before mentioned system?

What effect, mathematically, would adding a third tank have on the system?

At what point would adding additional tanks have no effect (maintaining ¼" piping throughout)?

What effect would (from additional volume and decreased surface tension) adding a manifold connector (y adapter) combing both tank ¼" outlets in to single 3/8" standard line?

Register to Reply
Register to Reply 13 comments

Good Answers:

These comments received enough positive votes to make them "good answers".
Copy to Clipboard

Users who posted comments:

JBTardis (3); kevinm (1); lyn (1); NY CLean Water (4); ozzb (1); PWSlack (1); Tornado (2)

Previous in Forum: HEPA Filters   Next in Forum: Morse Taper Designs

Advertisement