LAWN SPRINKLER DESIGN
Group 3:
Seong Won Byun
Jakob Combs
Zachary Lightner
Bart Sudhoff
Devin Templeton
Objective
 Provide 1 inch of water to an area of 13,460ft2
in the shortest time
 Least amount of water falling outside the
property
 Minimize cost of materials
 Minimize electric utility costs
Layout
Layout
 Large area used 30foot radius sprinkler
heads
 Smaller areas used
combination of 18 and
17-foot radius sprinkler
heads
Sprinkler
Radius
30
26
18
17
Coverage
(degrees)
Quantity
90
180
270
360
180
90
180
270
360
180
360
4
6
2
2
2
7
23
3
2
1
4
Layout
 Sprinkler head
locations
 Circles are 30-foot radius
 Outside corners are 270°
rotors
 Corners and boundary
edges are 90° and 180°
rotors
 All others are 360°
rotors
Pipe Layout & AFT Model
Pipe Layout for Zone 321
Sprinkler GPM for Zone 321
Sprinkler Parameters
 Pressure difference across the component is
[Equation 1]
 The k-loss value is
[Equation 2]
Project Results
Zone
1
2
3
TOTAL
Water
Area to Needed
be
for 1” Volumetric Time to
Covered depth Flow Rate Water
(ft2)
(gal)
(gal/min) (mins)
6186
3856
50
77.1
3294
2053
41
50.1
3980
2481
38
65.3
192.5
13460
8390
-
Table 2: Required Flow Rate and Time to Water for Each Zone
Cost Analysis
Item
SPRINKLER HEADS
Description
I-20 -ADV-Hunter 4" Adjustable Arc Rotor Sprinkler
Quantity
56
Unit Price Total Price
$12.74
$713.44
Item
4721K15
VALVES
Description
1" Double-Union Ball Check Valve
PC-300i - Hunter Pro-C Series 3 Station Controller (indoor)
Quantity
1
1
Unit Price Total Price
$38.31
$38.31
$69.48
$69.48
$107.79
Quantity
1
9
3
6
2
3
5
1
1
3
3
Unit Price Total Price
$61.66
$61.66
$18.32
$164.84
$25.66
$76.98
$0.86
$5.16
$1.03
$2.06
$1.86
$5.58
$0.86
$4.30
$0.94
$0.94
$1.31
$1.31
$1.35
$4.05
$2.05
$6.15
$333.03
PIPING
Item
24305
24302
24303
24420
24421
24423
24414
24415
24416
24154
24165
Description
1.610" ID x 1.824" OD 1 1/2" PE Flexible Pipe Not-NSF Listed 80 psi.
.824" ID x .944" OD 3/4" PE Flexible Pipe Not-NSF Listed 80 psi.
1.049" ID x 1.189" OD 1" PE Flexible Pipe Not-NSF Listed 80 psi.
3/4" Polypropylene Tee
1" Polypropylene Tee
1 1/2" Polypropylene Tee
3/4" Polypropylene Elbow
1" Polypropylene Elbow
1 1/4" Polypropylene Elbow
1" to 3/4" PVC Reducer
1 1/2" to 1" PVC Reducer
Length
100ft
100ft
100ft
TOTAL COST
$1,154.26
Cost Analysis
 Largest cost in the
project is the rotor
sprinkler heads.
 Another major factor
for cost is the diameter
of pipe.
Summary
Project Outcomes:
 56 Sprinkler Heads
 Total Material Cost: $1154
 192 Minutes to Water
References
[1] Toksoy, John M., “Sprinkler Project Description”, Microsoft PowerPoint
Presentation. Fall 2007.
[2] Smajstrla, A.G., Zazueta, F.S. and Haman, D.Z., “Lawn Sprinkler
Selection”, http://edis.ifas.ufl.edu/AE084. Accessed on November 2, 2007.
[3] Hunter Industries, “I10/I20 Ultra Rotary Sprinklers”,
http://www.hunterindustries.com/Products/Rotors/i20intro.html.
Accessed on November 12, 2007.
[4] Stryker, Jess. “Irrigation Tutorials”. http://irrigationtutorials.com.
Accessed on November 12, 2007.
[5] Sprinkler Warehouse.
http://www.sprinklerwarehouse.com/Default.asp?Redirected=Y.
Accessed on November 12, 2007.
[6] US Plastics.
http://www.usplastic.com/catalog/default.asp?cookie%5Ftest=1.
Accessed on November 12, 2007.
[7] McMaster-Carr. http://www.mcmaster.com. Accessed on November 12,
2007.
HEAT EXCHANGER DESIGN
Updates to MATLAB Program
•Removed calculations from HE_Design_Input
•Tube ID, Tube Pitch, Number of Tubes
•Number of tubes when running DOE file
•Added Nusselt correlations for both shell and
tube side
•Added more materials
•Entire program can be run from
HE_Design_Main
Fixed Parameters
Fixed Parameters
Shell Fluid
Tube Fluid
Shell Inlet Temp
Shell Outlet Temp
Tube Inlet Temp
Tube Output Temp
Tube Side Fouling
Shell Side Fouling
Shell Tube Side Fluids Reversed
Number of Shell Passes
Number of Tube Passes
Tube Mass Flow Rate
Shell Nusselt Correlation
Tube Nusselt Correlation
I Baffle
Number of Tubes
Shell Material
I Square Pitch
Tube Layout Angle
Water
Water
25 C
58.2 C
90 C
40 C
3.00E-05
3.00E-05
FALSE
1
1
5.74 kg/sec
Dependant
Dependant
YES
Calculated
by Program
Aluminum
2024-T6
Square
90
First Design of Experiments
Design of Experiments 1
MIN
MAX
I counter flow
1
2
mdot shell
7
10
Baffle Space
0.1
0.4
Baffle Cut
0.03
0.1
Shell th
0.001
0.005
Main Effects for First DOE
Second Design of Experiments
Design of Experiments 2
MIN
MAX
Shell ID
0.2032
0.3366
Tube th
0.001
0.003
Tube Mat
21
41
Tube OD
6.35E-03 2.22E-02
Tube Len
3
7
Main Effects for Second DOE
Reduction of Variables
Remaining Variables
mdot shell
Baffle Space
Tube th
Shell ID
Tube OD
Tube Len
Eliminate:
Tube OD
Shell ID
Tube Thickness
Lowest Weight
Configuration Possible
Final Design of Experiments
Design of Experiments 3
MIN
MAX
mdot shell
7
10
Tube Len
2
5
Baffle Space
0.1
0.4
PARETO Plots for Final DOE
Minitab Optimization Results
Minitab Optimization Results
Weight
118 kg
DP Shell
11484.68 Pa
DP Tube
3129.89 Pa
Q Calculated
1416775 W
Manual Optimization Results
Updated Variables
mdot shell
Tube Len
Baffle Space
FINAL
RESULTS
8.9
2.4
0.35
Manual Optimization Results
Weight
98.4 kg
DP Shell
11591 Pa
DP Tube
2684 Pa
Q Calculated
1203285 W
Heat Transfer Coefficients
Tube
Shell
Reynolds
Number
6497
5957
Flow
Conditions
Turbulent
Turbulent
Nusselt
Correlation
*Gnielinski
*JP Holman
Heat Transfer
Coefficient
2
(W/m K)
4484
10750
* Gnielinski for Turbulent
Flow, 2300 < Re < 5x106
* Toksoy, “Convection Heat Transfer” TFD-HE2, pg. 9
* JP Holman, “Heat Transfer”
2002, For Turbulent Flow:
C=0.386, n=0.592
Tube Thickness
Calculate maximum allowable pressure:
Pmax 
 t
r

345MPa 0.457 E  3m 

 58.0 MPa  8412 psi
2.718E  3m
Shell Thickness
Pmax 
 t
r

345MPa 1.00 E  3m 

 3.4 MPa  493 psi
Shell
Thickness
(mm)
1.0
2.0
4.0
6.0
8.0
10.0
0.1016m
Max
Max
Allowable Allowable
Heat
Pressure Pressure Exchanger
(Mpa)
(psi)
Weight (kg)
3.4
493.1
98.4
6.8
986.3
102.7
13.6
1972.5
111.3
20.4
2958.8
120.0
27.2
3945.1
128.8
34.0
4931.4
137.7
Final Input Parameters
MATLAB Input Parameters
Shell Fluid
Water (2) Baffle Space
Tube Fluid
Water (2) Baffle Cut
Tube Mass Flow Rate
5.74 kg/sec Shell ID
Shell Mass Flow Rate
8.5 kg/sec Shell thickness
Shell Inlet Temp
25 C
Tube Material
Shell Outlet Temp
-999.999 Shell Material
Tube Inlet Temp
90 C
Shell Nusselt Correlation
Tube Output Temp
40 C
Tube Nusselt Correlation
Tube Side Fouling
3.00E-05 Tube OD
Shell Side Fouling
3.00E-05 Tube Thickness
Shell Tube Side Fluids Reversed FALSE (0) Tube Length
Counter
Flow (1) Number of Tubes
Counter Flow
Number of Shell Passes
1
I Square Pitch
Number of Tube Passes
1
Tube Layout Angle
Baffle
YES (1)
* Correlations added by design group
0.35
0.0508
0.2032
1.00E-03
Aluminum 2024-T6 (22)
Aluminum 2024-T6 (22)
*JP Holman (3)
*Gnielinski (5)
6.35E-03
4.57E-04
2.4
0
Square (1)
90
Questions?