Group 3: Seong Won Byun Jakob Combs Zachary Lightner Bart Sudhoff Devin Templeton

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  Minimize electric utility costs

Layout

 Large area used 30- foot radius sprinkler heads  Smaller areas used combination of 18 and 17-foot radius sprinkler heads

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 3Sprinkler 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) TOTAL Project Results

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 [2] Smajstrla, A.G., Zazueta, F.S. and Haman, D.Z., “Lawn Sprinkler Selection”, Accessed on November 2, [3] Hunter Industries, “I10/I20 Ultra Rotary Sprinklers”, Accessed on November 12, [4] Stryker, Jess. “Irrigation Tutorials”. Accessed on November 12, [5] Sprinkler Warehouse. Accessed on November 12, [6] US Plastics. Accessed on November 12, [7] McMaster-Carr. Accessed on November 12,

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

First Design of Experiments

Main Effects for First DOE

Second Design of Experiments

Main Effects for Second DOE

Reduction of Variables Eliminate: Tube OD Shell ID Tube Thickness Lowest Weight Configuration Possible

Final Design of Experiments

PARETO Plots for Final DOE

Minitab Optimization Results

Manual Optimization Results FINAL RESULTS

Heat Transfer Coefficients * Toksoy, “Convection Heat Transfer” TFD-HE2, pg. 9 * Gnielinski for Turbulent Flow, 2300 < Re < 5x10 6 * JP Holman, “Heat Transfer” 2002, For Turbulent Flow: C=0.386, n=0.592

Tube Thickness Calculate maximum allowable pressure:

Shell Thickness

Final Input Parameters * Correlations added by design group

Questions?