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mecahnical engg. hydraulics and pupming

06/28/2008 5:12 AM

We are having following pumping arrangements

i) The water collected in a Ground Level Tank is pumped to to 7 different delivery outlets by means of 2 Nos of vertical turbine pumpsets of 31600 lpm against 15 m haed ( each) for operation in parallel. The pump performance details (i.e. discharge and head ) are furnished below.

ii) The delivery pipse are of 1200 mm(1.20 metre) size inner dia for a total length of 11386 metres

iii) The roughness coefficient or the value of 'C' to be adopted in Hazen Williams formula is 120

iv) The system is having 7 delivery points as detailed in separate table

PUMP PERFORMANCE

DISCHARGE IN LITRES PER MINUTE

TOTAL HEAD IN METRE

0 24.1
20553 19.61
31180 14.67
33712 12.98
36294 10.74

DETAILS OF PUMPING SYSTEM

DELIVERY

POINT NO

DISTANCE FROM PUMP POINT (L.S.) IN m

DISCHARGE ELEVATION LEVEL IN m

SIZE & TYPE OF PIPE

ROGHNESS COEFFICIENT ' C ' VALUE IN HAZEN WILLIAMS FOTMULA

1 48 5.85 1200 mm inner dia PSC pipe 120
2 486 3.34 1200 mm inner dia PSC pipe 120
3 4280 1.91 1200 mm inner dia PSC pipe 120
4 7520 4.74 1200 mm inner dia PSC pipe 120
5 9298 3.91 1200 mm inner dia PSC pipe 120
6 10385 3.23 1200 mm inner dia PSC pipe 120
7 11386 2.85 1200 mm inner dia PSC pipe 120

1.)I want to know the theoretical dicharge (i,e. the theoretical quantity of water in liter per minute) that will be delivered at the 7 delivery points.

2.) whether any software is available for solving such type of problems?

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Guru
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#1

Re: mecahnical engg. hydraulics and pupming

06/28/2008 7:31 AM

To be able to do any calculation the setup at each outlet must be known.

For example is it a 1200mm t piece pointing upwards or sideways? will there be any flow restricting done at the outlets like a orifice or a nozzle or a pressure regulated discharge valve?

For this post it is assumed that all the outlets are open.

With this available you could use a spreadsheet to do the calculations.

The idea is to produce a system curve and superimpose it on the pump curve and find the balancing flow.

The method to follow is simple.

start at the furthest point with a small pressure.

Calculate the discharge at that point.

Calculate the friction in the last pipe section at the calculated flow.

The pressure at the previous point can then be calculated = initial pressure + friction + static (negative at that point)

The outflow at that point can the be calculated.

The friction can then be calculated with re total flow over that section.

If this is repeated for all the sections the result at the pump will be a flow vs head.

If the same calculation is repeated with different ending pressures the system curve can be plotted.

The total flow at the cross point will be the working situation.

Hope it is clear enough.

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Guru
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#2
In reply to #1

Re: mechanical Eng. hydraulics and pumping

06/28/2008 9:45 AM

With the end pressure too low you may end up with zero pressure at points 1 and 4 (when the friction is less than the static gain). skip until all outlets have positive pressures.

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Anonymous Poster
#3

Re: mecahnical engg. hydraulics and pupming

06/30/2008 12:06 AM

Softwares are available like pipenet. You can even get a basic free version on line, and use it as Henrick as detailed.

One parameter which you need to finalise before going for calculations is what flow you want at the various locations and whether any terminal pressure is required at these out let whether for process requirement or due to receipt tank head (In case of receipt tank take the max head).

The calucation has to start from the farthest end only and while you work upstream, pressure at respective points can be calculated. You may need to regulate the various outlets by control valve at different locations.

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Associate

Join Date: Mar 2007
Location: La Plata-Argentina
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#4

Re: mecahnical engg. hydraulics and pupming

06/30/2008 8:06 AM

"2.) whether any software is available for solving such type of problems?"

Try with the Epanet software provide free by the EPA at the website, it is usefull for water nets.

Regards

Ernesto

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Anonymous Poster (1); ernesto1962 (1); Hendrik (2)

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