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HE DOE-Optimization

This document outlines the design and optimization process of a heat exchanger, detailing the techniques used to adjust input parameters for achieving a target performance ratio (R=1). Key factors such as mass flow rate, baffle spacing, and tube dimensions were analyzed to enhance output. The optimization employed statistical tools like effects plots and Pareto charts to identify critical design factors impacting heat transfer rate. Calculated and desired heat transfer rates are compared, revealing significant insights into system performance and potential adjustments for improving efficiency.

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HE DOE-Optimization

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  1. HE DOE-Optimization Design of Heat Exchanger Justin Hollman Steve Williams Anthony Joseph Michael Dunkin Michael Gill

  2. Process of Design and Optimization • Adjust settings of input to achieve R=1 design. • Analyze each factor of design to find factors that will affect output. • Selected mass flow rate through the shell, baffle spacing, tube outer diameter, tube length, and shell inner diameter. • Execute optimization using effects plots, interaction plots, pareto charts, and other statistical optimization tools. • Input optimized results into program to observe results. • Repeat for 2nd run.

  3. Heat Exchanger Pareto Charts • 2nd level correlations were chosen after correlation comparison showed that they had better composite desirability. • All chosen factors are of considerable importance to some response.

  4. Effects Plots for Chosen Factors • Chosen factors not removable due to considerable affect on system outputs. • Factors chosen based on analysis of each individual factor.

  5. Optimization with Output. Heat Transfer Rate ====================================== Desired Heat Transfer Rate = 77153.12 W Calculated Heat Transfer Rate = 55097.29 W Difference = 22055.83 W Desired-to-Calculated Ratio = 1.40 Heat Exchanger Geometry Considerably Under Sized Increase Heat Transfer Coefficient or Surface Area Shell Reynolds Number Outside the range for Friction Factor Equation Shell Side Pressure Drop May Have A Higher Error HE Pressure Drop ===================== Shell Side Delta-P = 445382.84 Pa Tube Side Delta-P = 523.22 Pa Heat Exchanger Weight ===================== Shell Weight = 0.85 kg Tube Weight = 8.33 kg Shell Fluid Weight = 8.04 kg Tube Fluid Weight = 5.45 kg ----------- Total HE Weight = 22.66 kg ************************************** Successfull Termination **************************************

  6. Heat Exchanger Pareto Charts for 2nd run. • 2nd level correlations were chosen after correlation comparison showed that they had better composite desirability. • All chosen factors are of considerable importance to some response.

  7. Heat Transfer Rate ====================================== Desired Heat Transfer Rate = 77613.91 W Calculated Heat Transfer Rate = 55295.87 W Difference = 22318.04 W Desired-to-Calculated Ratio = 1.40 Heat Exchanger Geometry Considerably Under Sized Increase Heat Transfer Coefficient or Surface Area Shell Reynolds Number Outside the range for Friction Factor Equation Shell Side Pressure Drop May Have A Higher Error HE Pressure Drop ===================== Shell Side Delta-P = 450201.60 Pa Tube Side Delta-P = 523.21 Pa Heat Exchanger Weight ===================== Shell Weight = 0.85 kg Tube Weight = 8.33 kg Shell Fluid Weight = 8.04 kg Tube Fluid Weight = 5.45 kg ----------- Total HE Weight = 22.66 kg ************************************** Successfull Termination ************************************** Optimization with Output. Results are similar to 1st run.

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