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Commentator

Join Date: Apr 2007
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Pipe Network Problem Solving Through Graphical Method

01/28/2012 6:03 AM

Hi,

Can you help me how to arrive the Total system curve for the pump and system given below Fig-1. Numbers given are the line identifiers. If there is no loop in the system, i can arrive the Total system curve through rules of lines in parallel or lines in series, then i can overlap the pump curve to arrive total pump flow and flow to each tank also, which i've depicted below Fig-2. I've individual line flow Vs pressure drop curves then to arrive total system curve, can i go for finding curve of line 4+5 considering both are in parallel and then 3 & 4+5 are in series then 2 & 3+(4+5) are in parallel then 1 & 2+(3+(4+5)) & line 6 are in series to arrive total system curve

Fig-1

Fig-2

Please help me to solve through graphical method. Or how to arrive total pump flow and flow to individual tank through some other method.

Thank you

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#1

Re: pipe network problem solving through graphical method

01/28/2012 6:36 AM

I'm very rusty on all this.

Here is a half-baked thought to simplify your diagram; Replace line 6 with 2 equivalent parallels (6a and 6b). Do the same for line 4. End result will be a set of parallel fed by line 1. Probably complete nonsense, but it might inspire an alternate approach.

On reflection, that is gibberish. How about making a delta-star conversion of lines 2, 3, and 5.

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#2

Re: pipe network problem solving through graphical method

01/28/2012 6:39 AM

Consider the junction 3x5 connected to outlet of 6 via 4 if both tanks are at same pressure.

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#3

Re: Pipe Network Problem Solving Through Graphical Method

01/28/2012 3:45 PM

Let me introduce you to the Hardy Cross Method: http://en.wikipedia.org/wiki/Hardy_Cross_method

1. Sum of the flows into and out of any node must be zero.

2. Sum of the pressure loss in any loop must be zero. (Don't forget to account for static head changes due to elevation.)

3. Make an initial assumption for flows, calculate pressure losses, adjust flows, repeat until 1. and 2. are met. Then you have one point on your system curve.

4. Make new initial flow assumptions with different values, repeat and you have another point. How many points do you want?

30+ years ago I had to do this manually for the plant firewater system. Today, you could use a spreadsheet or one of the computer programs available that include loop analysis.

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Commentator

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#6
In reply to #3

Re: Pipe Network Problem Solving Through Graphical Method

01/30/2012 1:13 AM

Thank you sir for your input. I'l go through that method and comeback to you sir.

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#4

Re: Pipe Network Problem Solving Through Graphical Method

01/28/2012 9:12 PM

Run #2 is not needed.

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Commentator

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#5
In reply to #4

Re: Pipe Network Problem Solving Through Graphical Method

01/30/2012 1:11 AM

Thanks for your reply sir.And in Line 2, there will be another taping of flow to another tank which i've removed for the purpose of simplicity.

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#7

Re: Pipe Network Problem Solving Through Graphical Method

01/30/2012 11:04 PM

Graphic solutions may be more (((visual))), but they are intrinsically only approximate solutions. More importantly, there is no substitute for a properly detailed analysis, other than a better detailed analysis...

First of all, it should be pointed-out that you don't have just one problem to solve, but you do have at least four (relatively) simple situations to analyse (ie: 1-2-6, and 1-3-5-6, if your're going to discharge only into tank #2;

1-3-4, and 1-2-5-4, if you're going to discharge only into tank #1), and, at least two more complex situations, if you're going to simultaneously discharge into both tanks.

You should be concerned with evaluating at least the four simple system curves, at the very least.

Second, where is/are the valve(s), of what size(s), of what type(s), etc.

Same goes for other fittings, conduits, elevation changes, exposure conditions, etc.

Readily available commercial software would help you ask the proper questions to get started...

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