Project 1

Fountain Pump System Calculations And Pump Selection

Student Name: Ali AL-Asfour

Student Number (ACK): 07-02896

Student Number (UTas): 117228

Instructor Name: Dr. Hussain Al-Ghanem

Australian College of Kuwait

(University of Tasmania)

KNQ 457 Advance Manufacturing and Design

Table of Content:

Introduction Pg.3

Fountain design Pg.4

Nozzle Drawings Pg.5

Submersible Pump Calculation Pg.12

Submersible Pump Selection Pg.13

Non-Submersible Pump Calculation Pg.15

Non-Submersible Pump Selection Pg.17

References Pg.19

Appendix

Introduction:

A fountain is a piece of architecture which pours water into a basin or jets it into the air either to supply drinking water or for decorative or dramatic effect.

This report is about designing a decorative circular outdoor fountain, which will have a total of 104 nozzles; 60 nozzles will be arranged on a circle of 5 feet diameter, and at the center of this circle there will be 1 big nozzle, the rest will be divided on 4 similar types of nozzles called the vulcan nozzle. As of the water elevation there will be 3 different heights of 3.28, 4.9, and 13 feet.

The fountain will have an outer diameter of 12 feet and an inner diameter of 10 feet.

As for the proper pump selection, the report will contain the selection of 2 types of pumps, one submersible pump and one non-submersible pump.

The selection of the pumps will be mainly depending on the total head and flow that need to be delivered. As for the pump power, it will be a secondary priority.

Fountain design:

The fountain design will consist of:

- 4 vulcan nozzles (43-3T), with water display height of 3.28 feet and 2.1 feet diameter.- 1 architectural spray ring (SR-5-1½-60-3), with water display height of 4.9 feet.- 1 frothy nozzle (55-15E), with water display height of 13 feet.

Arranged as shown in figure .1 below

Frothy Nozzle

4 x Vulcan Nozzles

Architectural spray ring

Fig.1 Fountain Top View

From figure.2, a 1.64 feet pipe is needed from the pump to the distributor. And for this design a Poly Ethylene (of grade PN6) pipe will be used, which can stands up to 6 bar of water pressure, and has outer diameter of 63 mm and inner diameter of 51.4 mm

The nozzles have been chosen from OASE because they have a small size and can provide a wide variation of water height which is necessary for the architectural design.

Nozzle Type Model Display heightfeet

Flow RateGPM

TDH (total dynamic head)

#

Architectural Spray Ring

SR-5-1½-60-3 4.9 126.3 6 1

Frothy 55-15E 13 94.6 25.7 1Vulcan 43-3T 3.28 15.8 11 4

Table.1 Nozzle data (from OASE)

The total flow rate (Q):

Q=126.3+94.6+15.8 x 4=284.1gpm

Fig.2 Fountain Side View with a Submersible Pump

Water level

Vulcan Nozzles

Vulcan Nozzles

Pump

PE Pipe

Architectural spray ring Frothy Nozzle

1.64 ft Distributor

hp=pump head

hs=static head

hn=nozzlehead

h f=pipe friction

hm=minor losses

f = friction head loss in feet of water per 100 feet of pipe

c = Hazen-Williams roughness constant (for PE (PN6) = 140)

Q = volume flow (gpm) = 284.1 gpm

dh = inside hydraulic diameter

(inches) = 4 AP

= 4π r 2

2πr=2 r

= 2 inches

Submersible Pump Calculation:

Head Pump Calculation:

The pump head can be calculated by

hp=hs+hn+hf+hm

In this design the static head (the distance between the nozzle outlet and the water surface) is neglected, because the distance is very small which is almost zero.

The nozzle head is taken from OASE data sheet. And the distributor, which will connect the nozzles to the pipe, will be allowed for 1 ft of total friction loss.hn = 6 + 25.7 + 11 + 1 = 43.7 ft

The pipe fiction head is calculated using the Hazen-Williams Equation.

f=0.2083( 100c )

1.852

Q1.852

(dh )4.8655

f=0.2083( 100140 )

1.852

(284.1 )1.852

(2 )4.8655=134.038H 2Oft /100 ft

∴hf=134.038 x1.64

100=2.2 ft

Total head Pump hP

∴hp=0+43.7+2.2≈45.9 ft

Submersible Pump Selection:

For this design, a submersible pump; which is able to deliver (284.1 gpm = 17.9 L/s) at (45.9 ft = 14 m) of total head, is needed.Using the pump chart from Khansaheb Sykes:

From the chart, Curve V is the most suitable option.

Model P 2001 N P 2001 H P 2001 VMotor Type 415 V (3-Phase) 415 V (3-Phase) 415 V (3-Phase)

Motor Rating P2 5.8 kW 5.8 kW 5.8 kWMax Power Input P1 6.8 kW 6.8 kW 6.8 kW

Running Current 12 Amps 12 Amps 12 AmpsDimension (H x W) 686 X 364 mmDischarge Spigots 21/2” , 3” , 4” BSP 21/2” , 3” , 4” or Bauer

Weight (excl cable) 50 kg

Generator Min 25 kvaRec 40 kva

Table.2 Pump data

Fig.3 Submersible Pump Chart

Operating point

Fig.4 Pump model P2001V

P=Power (kW)

hp=Pumphead=14m

Q=Flow Rate=64.5m3/h

ρ=Fluid Density=1000kg/m3

g=gravity=9.81m /s2

Pump Hydraulic Power:

to calculate the ideal hydraulic pump power the following equation will be used.

P=q . ρ . g .h p

(3.6 x106 )

P=(64.5 ) . (1000 ) . (9.81 ) . (14 )

(3.6 x106 )=2.46 kW =3.3 HP

The required power from the equation is about half the power of the pump, and though that mean energy will be wasted, but as most of the pumps; that can deliver a flow rate of 284.1 gpm with 45.9 ft of total head, have a minimum of 5 HP, unless costume made. Thus make this pump sufficient for the job.

hNP = Head of the Non-Submersible Pump

hSP = Head of the Submersible Pump

hL,extra = Head loss due to 30 feet more of pipe and the presence of an elbow

Non-Submersible Pump Calculation:

Most of the calculation will be the same as the submersible pump. The only difference is that here the pump is going to be placed at far distance from the water. The pump position is usually determined by the space availability, and it should be in a place where it doesn’t cause disturbance to people, and it is better to be in a non visible location for decorative purposes. For this design the pump will be put at distance of 30 feet away from the center of the fountain.

The non-submersible pump must be able to deliver (284.1 gpm = 17.9 L/s) as calculated before, but for the total head, we must include the head loss due to the extra pipe length and due to presence of an elbow.

Head Pump Calculation:

The total head for the Non-Submersible Pump (hNP):

hNP=hSP+hL ,extra

∴hL ,extra=30 frictionhead+elbow head loss

The pipe fiction head is calculated using the Hazen-Williams Equation, same as before:

f=0.2083( 100c )

1.852

Q1.852

(dh )4.8655

f=0.2083( 100140 )

1.852

(284.1 )1.852

(2 )4.8655=134.038H 2Oft /100 ft

∴head loss for30 feet=134.038 x30100

=40.2 ft

30 feet

Pump

Elbow

Fig.5 Fountain Side View with a Non-Submersible Pump

ε = minor loss coefficient for the elbow = 0.3

v = flow velocity (ft/s)

Q = volumetric flow rate (ft3/s)

A = pipe area (ft2)

r = radius = 1 inches = 0.083 ft

g = gravity acceleration (ft/s2)

As for the elbow head lossThe following equation will be used to calculate it

helbow=ε v2

2g= ε Q2

2g A2

A = πr2 = 0.022 ft2

Q = 0.63 ft3/sg = 32.2 ft/s2

helbow=(0.3 ) (0.63 )2

2 (32.2 ) (0.022 )2=3.9 ft

45.9 ft

∴ The total head of the Non-Submersible Pump = 45.9 ft + 40.2 +3.9 = 90 ft

P=Power (kW)

hp=Pumphead=14m

Q=Flow Rate=64.5m3/h

ρ=Fluid Density=1000kg/m3

g=gravity=9.81m /s2

Non-Submersible Pump Selection: For this design, a submersible pump; which is able to deliver (284.1 gpm = 17.9 L/s) at (90 ft = 27.4 m) of total head, is needed.

to calculate the ideal hydraulic pump power the following equation will be used.

P=q . ρ . g .h p

(3.6 x106 )

P=(64.5 ) . (1000 ) . (9.81 ) . (27.4 )

(3.6 x106 )=4.82kW = 6.5 HP

For this purpose a surface FPS pump of size 3x4-6 of 10 HP will be chosen based on the chart below

Fig.6 Non-Submersible Pump Chart

Operating point

Dimensional Drawing:

Exploded Part Drawing:

References:

Calculations:

1- www.EngineeringToolBox.com a. For Hazen William Equations

http://www.engineeringtoolbox.com/hazen-williams-water-d_797.htmlb. Minor Loses Equation

http://www.engineeringtoolbox.com/minor-loss-coefficients-pipes-d_626.htmlc. Pipes Dimensions

http://www.engineeringtoolbox.com/pe-pipe-dimensions-d_321.html2- http://www.lightmypump.com/ Pumps Selections:

3- http://www.khansahebsykes.com/pumps/submersible-borehole-pumps.php 4- Franklin electric

www.franklin-electric.coma. Zoller general Pump brochure.b. WW (Water Waste) Catalog.c. Water Horse Catalog.d. FPS (irrigation & industrial surface pump) cataloge. FPS (Irrigation & industrial Pump) [submersible] f. Schaefer Catalogg. J-Class catalog

5- Goulds Pumps (HSU, HSUL, JCU) submersible pumpsNozzles:

6- Safe-Rain Cataloghttp://www.saferain.com/

7- OASE Nozzleshttp://www.oasefountain.com/nozzles.htm

8- http://www.atlanticfountains.com/fountain_design.htm 9- http://www.customfountains.com/