© 2001 By David A. Dec
If you buy a pump that is way too small it may only move a trickle of water, or possibly none at all. One that is a bit larger can still be too small to give good aeration, filtration and surface skimming. Overloading a pump that is too small can result in a shorter pump life, and more repairs. Often people who buy too small a pump will buy 1 or more of the same pump, so they wind up running several pumps with higher operating costs than 1 properly sized pump.
On the other hand, choosing a pump that is too large will not only waste a lot of money to run it, but can actually result in damage to the plumbing and equipment.
In order to pick out the correct pump there are 5 steps you need to go through:
1.
Determine the volume of your pond;
2.
Determine the flow you want based on the pond’s volume;
3.
Determine the correct pipe size to move the flow you want;
4.
Determine the total dynamic head (TDH) or pump head based on your pipe
size, flow rate, and equipment;
The first thing you need to do is determine the volume of you pond. If you have not done that yet, for a rectangular pond, it is the length (ft) x width (ft) x depth (ft) x 7.48 gallons / cubic foot = U.S. Gallons. For other shaped ponds use the following formulas:

If you have a pond that is under a few thousand gallons you may want to turn it over 2 to 3 times per hours. If it is a larger pond you may want to turn it over only once every 2 hours.
Peter Waddington, in his book “Koi Kichi”, says the real volume of water a fish lives in is determined by multiplying the flow per hour times 24 hours per day. So people with smaller ponds will want to turn them over more often than those with larger ponds.
So let’s say you have a 5,000-gallon pond, and you want to turn it over every 1-½ hours. We simply divide the size of your pond by the number of hours you want for a complete turnover to get your flow rate. So for our example the flow needs to be 5,000 / 1.5 = 3,333 gallons per hour (GPH) or 3,333 / 60 = 55.5 gallons per minute (GPM).
The flow rate is very important in determining the pipe and pump size for your pond.
The Plastic Pipe and Fittings Association (PPFA) says PVC pipe should be designed for a maximum flow-rate velocity of 5 to 8 feet per second (fps) through the pipe. They say 8 fps is ok for pipe sizes less than 1” in diameter, but it should be less than 5 fps for pipe sizes of 1 ¼ “ or larger. Higher velocities can actually cause pipe failure and rupture, as well as astronomically large resistance to water flow, which necessitates higher horsepower requirements, and higher operating costs.
How do you determine the velocity of the flow rate in feet per second? The equation is:
Velocity in fps = .4085 x GPM / d2
Where GPM = gallons per minute, and d = inside diameter of the pipe in inches.
The following table shows the results of these fps calculations for various pipe diameters (d) and flow rates in GPH and GPM:
|
|
GPH |
600 |
1,800 |
3,000 |
3,600 |
4,800 |
6,000 |
9,000 |
12,000 |
|
|
GPM |
10 |
30 |
50 |
60 |
80 |
100 |
150 |
200 |
|
d nom.” |
d act.“ |
|
Velocity |
through |
pipe in |
feet per |
second |
|
|
|
½ “ |
0.608 |
11.05 |
33.15 |
55.25 |
66.30 |
88.40 |
110.51 |
165.76 |
221.01 |
|
¾ “ |
0.810 |
6.23 |
18.68 |
31.13 |
37.36 |
49.81 |
62.26 |
93.39 |
124.52 |
|
1.00 |
1.033 |
3.83 |
11.48 |
19.14 |
22.97 |
30.63 |
38.28 |
57.42 |
76.56 |
|
1.25 |
1.364 |
2.20 |
6.59 |
10.98 |
13.17 |
17.57 |
21.96 |
32.93 |
43.91 |
|
1.50 |
1.592 |
1.61 |
4.84 |
8.06 |
9.67 |
12.89 |
16.12 |
24.18 |
32.24 |
|
2.00 |
2.049 |
0.97 |
2.92 |
4.86 |
5.84 |
7.78 |
9.73 |
14.59 |
19.46 |
|
2.50 |
2.445 |
0.68 |
2.05 |
3.42 |
4.10 |
5.47 |
6.83 |
10.25 |
13.67 |
|
3.00 |
3.042 |
0.44 |
1.32 |
2.21 |
2.65 |
3.53 |
4.41 |
6.62 |
8.83 |
|
4.00 |
3.998 |
0.26 |
0.77 |
1.28 |
1.53 |
2.04 |
2.56 |
3.83 |
5.11 |
|
5.00 |
5.017 |
0.16 |
0.49 |
0.81 |
0.97 |
1.30 |
1.62 |
2.43 |
3.25 |
|
6.00 |
6.031 |
0.11 |
0.34 |
0.56 |
0.67 |
0.90 |
1.12 |
1.68 |
2.25 |
So we need to pick a velocity that is less than 5 fps from the above table. So looking at the above table for our example, we want to look down the 3,600 GPH column (since we want a flow of 3,333) until we find an fps that is less than 5. When we do that we see 4.10 fps corresponds to a 2-½ “ pipe.
One 2” pipe would be pushing the envelope, but we could use 2-2” pipes; like one 2” pipe from the bottom drain, and another 2” pipe from the skimmer. Both pipes could terminate in the ends of a Tee fitting, with valves for each, with the center branch feeding the pump. By the way, 2-2” pipes have about the same area as 1-3” pipe.
Head is best defined as “resistance to flow”. The term “head” is further modified by whether the resistance is encountered on the suction side of the pump (suction head (HS) from the pond to the pump) or the discharge side (discharge head (HD) from the pump to the pond); whether it is caused by the standing height of the water (static head hsh = height of the waterfall or fountain above the water’s surface) or by the movement of water through the system (dynamic head = hd); whether the resistance is caused by simple friction due to fittings and pipe sizing (friction head = hf ) or by the equipment resistance (he).
TDH = HS +
HD = (hsh + hd + hf + he)S
+ (hsh + hd + hf + he)D
In order to determine the total dynamic head (TDH) we need to consider all of these sources:
This TDH or Ph is the most difficult calculation for everyone, because it is very complicated. Here is a table of the resistance in feet of pump head for every 10-foot length of pipe as a function of water flow:
|
|
GPH |
600 |
1,800 |
3,000 |
3,600 |
4,800 |
6,000 |
9,000 |
12,000 |
|
|
GPM |
10 |
30 |
50 |
60 |
80 |
100 |
150 |
200 |
|
d nom” |
d act” |
|
Pump |
head in |
feet per |
10 ft of |
pipe |
|
|
|
½ “ |
0.608 |
7.80 |
59.66 |
153.65 |
215.37 |
366.92 |
554.69 |
1175.35 |
2002.42 |
|
¾ “ |
0.810 |
1.93 |
14.77 |
38.05 |
53.34 |
90.87 |
137.37 |
291.08 |
495.91 |
|
1.00 |
1.033 |
0.59 |
4.53 |
11.66 |
16.34 |
27.83 |
42.08 |
89.15 |
151.89 |
|
1.25 |
1.364 |
0.15 |
1.17 |
3.01 |
4.22 |
7.20 |
10.88 |
23.06 |
39.28 |
|
1.50 |
1.592 |
0.07 |
0.55 |
1.42 |
1.99 |
3.39 |
5.13 |
10.87 |
18.52 |
|
2.00 |
2.049 |
0.02 |
0.16 |
0.42 |
0.58 |
0.99 |
1.50 |
3.18 |
5.42 |
|
2.50 |
2.445 |
0.01 |
0.07 |
0.18 |
0.25 |
0.42 |
0.64 |
1.35 |
2.30 |
|
3.00 |
3.042 |
0.00 |
0.02 |
0.06 |
0.09 |
0.15 |
0.22 |
0.47 |
0.79 |
|
4.00 |
3.998 |
0.00 |
0.01 |
0.02 |
0.02 |
0.04 |
0.06 |
0.12 |
0.21 |
|
5.00 |
5.017 |
0.00 |
0.00 |
0.01 |
0.01 |
0.01 |
0.02 |
0.04 |
0.07 |
|
6.00 |
6.031 |
0.00 |
0.00 |
0.00 |
0.00 |
0.01 |
0.01 |
0.02 |
0.03 |
Where do these values come from? The PPFA says to use the Hazen-Williams Equation.
The equation is:
Ph = 104.4 / C1.852
x (GPM)1.852 / d4.8655
where Ph is the pump head in feet per 10 feet of pipe, GPM is gallons per minute, d is the inside diameter of the pipe in inches, C is a pipe smoothness coefficient that is 150 for new PVC; 140 for smooth walled copper, brass, etc.; 100 for ordinary iron pipe; and 80 for old iron pipe.
Lasco’s PVC fittings website also uses this equation to show the friction losses. However, they express the result as Pounds per square inch (PSI) per 100 feet of pipe length.
So according to the above table, if we have 30 feet of pipe, and a flow of 3,333 GPH, the pump head due to the pipe alone, without any fittings, would be 4.22 * 3 = 12.66 feet of pump head for 1 ¼ “ pipe; 1.99 * 3 = 6 feet for 1 ½ “ pipe; 0.58 * 3 = 1.7 feet for 2” pipe, etc.
The next consideration is the number and type of fittings we plan to use. Following is a table of the resistance per fitting, expressed in length of equivalent pipe in feet, not in feet of pump head. This is a very important distinction and is a source of much confusion.
|
Pipe d " |
90º elbow |
45º elbow |
Tee-run |
Tee-branch |
Check valve |
Gate valve |
|
0.50 |
1.5 |
0.8 |
1 |
4 |
5.2 |
0.4 |
|
0.75 |
2 |
1 |
1.4 |
5 |
6.5 |
0.55 |
|
1.00 |
2.3 |
1.4 |
1.7 |
6 |
8.7 |
0.7 |
|
1.25 |
3 |
1.8 |
2.3 |
7 |
10 |
0.9 |
|
1.50 |
4 |
2 |
2.7 |
8 |
13.4 |
1.1 |
|
2.00 |
6 |
2.5 |
4.3 |
12 |
17.2 |
1.4 |
|
2.50 |
7 |
3 |
5.1 |
15 |
20.6 |
1.6 |
|
3.00 |
8 |
4 |
6.3 |
16 |
25.5 |
2 |
|
4.00 |
10 |
5 |
8.3 |
22 |
33.6 |
2.7 |
|
Assuming
30’ length of 1 1/2" pipe |
# of fittings |
ft / fitting |
Equivalent
pipe length |
|
Length of
pipe |
|
|
30 |
|
90º
elbows |
6 |
4 |
24 |
|
45º
elbows |
2 |
2 |
4 |
|
Tee's -
flowing through the run |
4 |
2.7 |
10.8 |
|
Tee's -
flowing through the branch |
4 |
8 |
32 |
|
Check
valve 100% open |
1 |
13.4 |
13.4 |
|
Gate
valve 100% open |
10 |
1.1 |
11 |
|
|
|
|
|
|
Total
equivalent pipe length |
|
|
125.2 |
Using these values we get a total equivalent pipe length of 125.2 feet. Now we go to Table Two and find the pump head for a flow rate of 3,333 GPH, for a pipe diameter of 1 ½ “, which is 1.99 feet of pump head for every 10 feet of equivalent pipe length. Using these numbers to calculate the total pump head:
125.2 * 1.99 / 10 = 24.9 feet of pump head,
which is due to the friction losses through the 1 ½ “ pipe and fittings.
When we perform this same calculation for all the pipe diameters at a flow-rate of 3,333 GPH, we get the following results:
|
Pipe
size |
Ph |
|
½ " |
2,696.4 |
|
¾ " |
667.8 |
|
1 |
204.6 |
|
1 ¼ " |
52.8 |
|
1 ½ " |
24.9 |
|
2 |
7.3 |
|
2 ½” |
3.1 |
|
3 |
1.1 |
As you can see the pipe diameter has a huge effect on the pump head requirement. If we choose the correct pipe diameter, based on the 5 feet per second velocity restriction, as is shown in Table One, we would use a 2 ½ “ pipe for a flow of 3,333 GPH. This would give us a pump head of 3.1 as seen in Table Five, and the guideline of “1 foot of pump head for every 10 feet of pipe” holds true for our 30 feet of pipe.
However, if we choose any other size of pipe, then this guideline does not hold true, and can be way off the mark. So choosing the correct pipe size for our pond is absolutely critical. As seen in Table Five, if we used the 1 ½ “ pipe the pump head would be over 8 feet of pump head for every 10 feet of pipe.
Unfortunately this is an easy mistake for a beginner to make, and becomes very difficult to correct after the pond is constructed. There are too many ponds with the wrong size pipe buried deep under the liner, or concrete, or the waterfall with its many tons of rock and boulders.
The next step is to add the pipe and fittings pump head to the other equipment pump head losses (not equivalent pipe lengths) to get the Total Dynamic Head (TDH):
|
|
Pump head |
PSI |
|
Pipe
& fittings |
24.9 |
10.8 |
|
Bottom
drain |
2.0 |
0.9 |
|
Skimmers |
2.0 |
0.9 |
|
Leaf-baskets |
2.0 |
0.9 |
|
80 watt
UV |
1.9 |
0.8 |
|
Filter |
14.3 |
6.2 |
|
Heater |
5.0 |
2.2 |
|
Static
lift of 6 feet |
6.0 |
2.6 |
|
|
|
|
|
TDH |
58.1’ |
25.2 |
All these calculations have been based on ideal “new” pipe, fittings, and equipment. Older systems may have “algae, hard mineral scale, or muck build-up" on the piping walls, filters, strainers, valves, elbows, heat exchangers, etc., making the published numbers too low. The smoothness coefficient is no longer valid, and neither is the inside diameter of the pipe. In other words, the TDH pump head can in reality be much higher than calculated.
Another way of determining the TDH is to measure it, if your existing pump is working. You install a flow meter, a vacuum gauge on the suction side of the pump, and a pressure gauge on the discharge side of the pump. Every inch of mercury on the vacuum gauge is multiplied by 1.13 feet of head to get the suction head. Every PSI on the pressure gauge is multiplied by 2.31 feet of head to get the discharge head. Then you add those two numbers together to get the TDH, at your existing flow rate.
Now we know the flow rate we want is 3,333 GPH or 55.5 GPM, and the Total Dynamic Head (TDH) for our pond design is 58.1 feet of pump head.
Our next step is to check out the various performance curves for available pumps. Graph One is a typical performance curve. We find 55.5 GPM on the X or bottom axis, and draw a line up. Then we find 58.1 feet of pump head on the Y or side axis, and draw a line to the right. Where they meet is the pump that we want.
In this case we want a pump that is a little less than a 1 horsepower pump. Our next step is to find the most efficient pump for our conditions. The most efficient pump will be the one with the highest Creech Pump Index (GPM x TDH / Watts), and if they have the same CPI, then the lowest amps. If we can find a variable speed pump, like the Money Saver Pump®, we can dial the horsepower and amps down to exactly where we need to be, and save money. This is especially true when our GPM and TDH point falls well below the horsepower we need. We are not using a pump that is too large because now we can dial it down to the proper size. It is like having a pump with a gas pedal, which does not need to be pushed to the floor all of the time. When we let up on the gas pedal, we save money.
One thing to avoid is picking a pump with no “head” room. We want to make sure that we are not too close to the maximum pump head, in case we have not allowed for “dirty” pipes, fittings, etc., which eventually could result in no flow at all. The gas pedal allows for real world changes, and system additions and expansions.

David A. Dec is the author of various websites, such as http://www.ColoradoKoi.com , http://www.KoiFishPonds.com , and http://www.MoneySaverPumps.com . He has a Bachelor of Science in the Biological Sciences from the University of Chicago, and did his work for a Ph.D. in Physical Chemistry at the Illinois Institute of Technology. He has been involved in raising ornamental fish since the 1950’s.