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Inch Internal

October 12th, 2013

How many HP of water pump is needed to pump water from ground level to a height of 50 feet?

After reaching a height of 50 feet , there should be enough pressure to hose around 20 to 30 feet of water from it for curing concrete structure ex: columns, slab area etc. How many inches ( diameter ) of rubber hose is required to plug the water pump for pumping water ?

The power needed to lift the water is:
Power_W = (Mass_kg x Gravity_m/s/s x Height_m) / time_s
Where:
Mass is 1kg/L of water
Gravity acceleration is 9.81m/s/s
Height is the head, 50 feet in meters + allowance for losses (pressure drop) in pipes and the hose at the top. It also includes any suction head and pressure drops in the suction side of the pump. This figure might be 20m, depending on pipe size and flow and other restrictions in the line. Allow at least 6m head to get a reasonable flow through a hose 10m long.
Time is the number of seconds for that mass of water (flow in liters per second).

The mechanical power to drive the pump is greater by the efficiency of the pump under these conditions. Thus if the water power is 1000W, and the pump efficiency is 70%, then
1000W / 0.7 = 1430W.

You would need to chose a pump that had this power motor at least, and was able to operate with the head and flow specified. By way of example, the D30 model in the link below is specified as a 400L/m pump (with very small head pressure). It delivers a flow of 300L/m if the head is 10m, and only 25L/m if the head is 26m. It has a 1.1kW motor (1.5hp). With 230V/50Hz it draws a current of 7.2A, so that is 1.66 KVA.

Using the formula above, the water power for 26m head is:
P = 25kg * 9.81 * 26m / 60s = 106W

With 10m head it is:
P = 300kg * 9.81 * 10m /60s = 490W

The efficiency varies with the head, and is less than 50% for this pump. This pump is submersed, so no suction head. You can see that only 25L/m is not much flow at the top. Therefore search for a bigger pump (one with more power) and more flow at this head. Normally a supplier of pumps will be able to work this out for you, but you need the pressure-flow curves for the pump, as in the example , to work it out yourself and make sure you agree.

Use an on line pressure drop calculator to work out the additional head for your pipes and hoses. The second link helps with hose size. Note that 14.7psi = 10m of head. This shows a 1 inch internal diameter hose has a drop of 3.5psi per 100 feet with 10gpm. A 2 inch hose allows 65 gpm for the same pressure drop (head). You can find online calculators to convert all these units, but that is a 25 mm hose adds 2.9m of head (call it 3m) per 30m with a flow of approx 38L/m.

As you should see from above, the water power gives a starting point, especially if you assume an efficiency of 50%. You need to know the flow at the end of the hose, and determine the size of hose and head loss from this size at this flow. Now search for a pump that will deliver the desired flow with the desired head with this flow. The maximum flow of such a pump is likely as much as 10-20 times the flow with a high head. There are multistage pumps to provide a better performance, or you can consider a supply tank closer to the working height that you fill slowly over time. The third link shows such a multi-stage pump for comparison. Though the same motor power, it pumps more than 70L/m with 26m head, and 25L/m with 45m head.

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