lawn sprinkler design
DESCRIPTION
Group 3: Seong Won Byun Jakob Combs Zachary Lightner Bart Sudhoff Devin Templeton. Lawn Sprinkler design. Objective. Provide 1 inch of water to an area of 13,460ft 2 in the shortest time Least amount of water falling outside the property Minimize cost of materials - PowerPoint PPT PresentationTRANSCRIPT
Group 3:
Seong Won ByunJakob CombsZachary LightnerBart SudhoffDevin 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 30-foot radius sprinkler heads
Smaller areas used combination of 18 and 17-foot radius sprinkler heads
Sprinkler Radius
Coverage (degrees) Quantity
90 4180 6270 2360 2
26 180 290 7
180 23270 3360 2180 1360 4
30
18
17
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 1Pipe Layout for Zone 2Pipe Layout for Zone 3 Sprinkler GPM for Zone 1Sprinkler GPM for Zone 2Sprinkler GPM for Zone 3
Sprinkler Parameters
Pressure difference across the component is
[Equation 1]
The k-loss value is
[Equation 2]
Table 2: Required Flow Rate and Time to Water for Each Zone
Zone
Area to be
Covered (ft2)
Water Needed for 1” depth (gal)
Volumetric Flow Rate (gal/min)
Time to Water (mins)
1 6186 3856 50 77.12 3294 2053 41 50.13 3980 2481 38 65.3
TOTAL -13460 8390 192.5
Project Results
Cost Analysis
Item Quantity Unit Price Total Price56 $12.74 $713.44
Item Quantity Unit Price Total Price4721K15 1 $38.31 $38.31
1 $69.48 $69.48$107.79
Item Description Length Quantity Unit Price Total Price24305 1.610" ID x 1.824" OD 1 1/2" PE Flexible Pipe Not-NSF Listed 80 psi. 100ft 1 $61.66 $61.6624302 .824" ID x .944" OD 3/4" PE Flexible Pipe Not-NSF Listed 80 psi. 100ft 9 $18.32 $164.8424303 1.049" ID x 1.189" OD 1" PE Flexible Pipe Not-NSF Listed 80 psi. 100ft 3 $25.66 $76.9824420 3/4" Polypropylene Tee 6 $0.86 $5.1624421 1" Polypropylene Tee 2 $1.03 $2.0624423 1 1/2" Polypropylene Tee 3 $1.86 $5.5824414 3/4" Polypropylene Elbow 5 $0.86 $4.3024415 1" Polypropylene Elbow 1 $0.94 $0.9424416 1 1/4" Polypropylene Elbow 1 $1.31 $1.3124154 1" to 3/4" PVC Reducer 3 $1.35 $4.0524165 1 1/2" to 1" PVC Reducer 3 $2.05 $6.15
$333.03
$1,154.26TOTAL COST
SPRINKLER HEADS
VALVES
PIPING
Description I-20 -ADV-Hunter 4" Adjustable Arc Rotor Sprinkler
Description 1" Double-Union Ball Check ValvePC-300i - Hunter Pro-C Series 3 Station Controller (indoor)
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.
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 ParametersShell Fluid WaterTube Fluid WaterShell Inlet Temp 25 CShell Outlet Temp 58.2 CTube Inlet Temp 90 CTube Output Temp 40 CTube Side Fouling 3.00E-05Shell Side Fouling 3.00E-05Shell Tube Side Fluids Reversed FALSENumber of Shell Passes 1Number of Tube Passes 1Tube Mass Flow Rate 5.74 kg/secShell Nusselt Correlation DependantTube Nusselt Correlation DependantI Baffle YES
Number of TubesCalculated
by Program
Shell MaterialAluminum 2024-T6
I Square Pitch SquareTube Layout Angle 90
First Design of Experiments
MIN MAXI counter flow 1 2mdot shell 7 10Baffle Space 0.1 0.4Baffle Cut 0.03 0.1Shell th 0.001 0.005
Design of Experiments 1
Main Effects for First DOE
Second Design of Experiments
MIN MAXShell ID 0.2032 0.3366Tube th 0.001 0.003Tube Mat 21 41Tube OD 6.35E-03 2.22E-02Tube Len 3 7
Design of Experiments 2
Main Effects for Second DOE
Reduction of Variables
Remaining Variablesmdot shell
Baffle SpaceTube thShell ID
Tube ODTube Len
Eliminate:
Tube ODShell ID
Tube Thickness
Lowest Weight Configuration Possible
Final Design of Experiments
MIN MAXmdot shell 7 10Tube Len 2 5Baffle Space 0.1 0.4
Design of Experiments 3
PARETO Plots for Final DOE
Minitab Optimization Results
Weight 118 kgDP Shell 11484.68 PaDP Tube 3129.89 Pa
Q Calculated 1416775 W
Minitab Optimization Results
Manual Optimization Results
mdot shell 8.9Tube Len 2.4Baffle Space 0.35
Updated Variables
Weight 98.4 kgDP Shell 11591 PaDP Tube 2684 Pa
Q Calculated 1203285 W
Manual Optimization Results
FINAL RESUL
TS
Heat Transfer Coefficients
* Toksoy, “Convection Heat Transfer” TFD-HE2, pg. 9
* Gnielinski for Turbulent Flow, 2300 <
Re < 5x106
* JP Holman, “Heat Transfer” 2002, For
Turbulent Flow: C=0.386, n=0.592
Reynolds Number
Flow Conditions
Nusselt Correlation
Heat Transfer Coefficient (W/m2K)
Tube 6497 Turbulent *Gnielinski 4484Shell 5957 Turbulent *JP Holman 10750
Tube Thickness
psiMPa
mE
mEMPa
r
tP 84120.58
3718.2
3457.0345max
Calculate maximum allowable pressure:
Shell Thickness
Shell Thickness
(mm)
Max Allowable Pressure
(Mpa)
Max Allowable Pressure
(psi)
Heat Exchanger
Weight (kg)1.0 3.4 493.1 98.42.0 6.8 986.3 102.74.0 13.6 1972.5 111.36.0 20.4 2958.8 120.08.0 27.2 3945.1 128.8
10.0 34.0 4931.4 137.7
psiMPa
m
mEMPa
r
tP 4934.3
1016.0
300.1345max
Final Input Parameters
Shell Fluid Water (2) Baffle Space 0.35Tube Fluid Water (2) Baffle Cut 0.0508Tube Mass Flow Rate 5.74 kg/sec Shell ID 0.2032Shell Mass Flow Rate 8.5 kg/sec Shell thickness 1.00E-03Shell Inlet Temp 25 C Tube Material Aluminum 2024-T6 (22)Shell Outlet Temp -999.999 Shell Material Aluminum 2024-T6 (22)Tube Inlet Temp 90 C Shell Nusselt Correlation *JP Holman (3)Tube Output Temp 40 C Tube Nusselt Correlation *Gnielinski (5)Tube Side Fouling 3.00E-05 Tube OD 6.35E-03Shell Side Fouling 3.00E-05 Tube Thickness 4.57E-04Shell Tube Side Fluids Reversed FALSE (0) Tube Length 2.4
Counter FlowCounter Flow (1) Number of Tubes 0
Number of Shell Passes 1 I Square Pitch Square (1)Number of Tube Passes 1 Tube Layout Angle 90Baffle YES (1)
MATLAB Input Parameters
* Correlations added by design group
Questions?