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Heat Exchanger Design. Fall 2005 December 13, 2005. ME 414 Thermal / Fluid System Design William Donelson Josh Fosso Laurie Klank Jonathan Moore. Professor: John Toksoy. Problem. Cool a Fluid From 35 ºC to 25ºC Mass Flow 80,000 kg/hr Fluid is Corrosive
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Heat Exchanger Design Fall 2005 December 13, 2005 ME 414 Thermal / Fluid System Design William Donelson Josh Fosso Laurie Klank Jonathan Moore Professor: John Toksoy
Problem • Cool a Fluid • From 35ºC to 25ºC • Mass Flow 80,000 kg/hr • Fluid is Corrosive • Fluid Properties are Approximated by Water • Use City Water to Cool • Available at 20ºC
Assumptions • Shell and Tube HX • Corrosive Fluid Requires Stainless Steel Tubes • Fouling is Negligible • Easier to Clean • Shell is Thin, Light as Possible
Begin Study • Given Tube Arrangement • Choose Tube Arrangement • Cleaning • Assembly
Observations • More on this Later • Length can be Calculated • Heat Transfer is Always as Desired • Nusselt Number Correlation
Minimize Cost • Assume HX Lifespan is 7 Years • Labor-Upkeep and Assembly • Arrangement and Materials • Operating • Electricity for Pumps • Cooling Water Considered Separately • Materials
Cost Function • Electricity • $0.06558 kW·hr (IPL) • Pump Efficiency = 0.7 • Materials • Wholesale Metal Prices Compared with Finished Product Prices to Get Value Added Multiple • Multiple = 5 (McMaster) • Wholesale Stainless Steel = $2.86/kg • Wholesale Aluminum = $1.88/kg (metalprices.com)
Approach • Cost Function Automatically Weighs • Pressure Drops • Weight • Q is Always Equal to Desired by Calculating Length • With Trial the Only Other Constraints Were the Fluid Velocities
Trial 1 Tubes Need to be Standard Size Velocities Must be Within Acceptable Range 0.6<Shell Velocity<1.5 m/s 0.9<Tube Velocity<2.5 m/s Minitab Does Not Recognize the Effect of M Dot on Cost
Final Trial After Further Refinement Optimum M Dot = 55.25
Final Design • M Dot Cooling Fluid= 55 kg/s • Tube OD = 0.38 inch BWG 24 • Shell ID = 12 inches • Length = 3.4102 m • Tube Pressure Drop = 6047 Pa • Shell Pressure Drop = 9308 Pa • Total Weight = 443 kg
Total Cost • $5720 • Plus Labor • Plus Water
Cost of Water • Since TC,o cannot Exceed TH,i the mass flow of the Cooling Water has Lower Bound of 15 kg/sec • This translates into 1,370,000 ft3/month $13,900/Month Indianapolis Water