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P14651: Drop Tower for Microgravity Simulation . Adam Hertzlin Dustin Bordonaro Jake Gray Santiago Murcia Yoem Clara. Week 3 Review – Open Items. How many pumps are needed? Benchmark NASA Drop Tower components Research designs to hold vacuum pressure Determine location for Drop Tower
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P14651: Drop Tower for Microgravity Simulation Adam Hertzlin Dustin Bordonaro Jake Gray Santiago Murcia Yoem Clara
Week 3 Review – Open Items • How many pumps are needed? • Benchmark NASA Drop Tower components • Research designs to hold vacuum pressure • Determine location for Drop Tower • Create working design w/o cost considerations • Meet with Deans • Meet with Grad Students
Agenda • Background • Problem Statement • Stakeholders • Customer Requirements • Engineering Requirements • System Analysis • Requirements Matrix • Benchmarked Components • Functional Analysis • Concept and Architecture Development • Engineering Analysis • Risk Assessment • Test Plan • New Focus as of Sep 30
Problem Statement • Current State • Ex) NASA Space Flight Center • 100 meter – 4.5 sec drop • Ultimate Pressure: 10-9 Torr • Limited Visibility • Desired State • P14651 Drop Tower • 9-12 meter ~ 1.5 sec drop • 15-30cm diameter tube • Object visible during drop • Continuous Lift / Release System • Appropriate pump(s) for required pressure • Educational and fun for all ages
Problem Statement Cont’d • Project Goals: • Fast Cycle Time • Cost efficient • Aesthetically pleasing • Precision in measurements • (1% estimation of standard gravity) • Adaptability for multiple / future uses • Minimal vacuum loss • Constraints: • Location and design approval from the Dean(s). • Material availability/size (ex. tube, pump) • Budget $3,000
Additional Deliverables • User’s Guide for operation • Designed Lab Experiments: • Determine gravity in the vacuum within 1% error • Compare drag at different pressures and drag vs. acceleration • Additional vacuum related experiments
Project Stakeholders MSD Team Dr. Kandlikar RIT Graduate and Undergraduate Students Middle School Students RIT Faculty RIT Prospective Students RIT College Dean(s) Middle School Teachers
Pugh’s Matrix Component Concepts Baseline Ideal Cheap Feasible Random
Selected Concept: Architecture • Piping • Main Tower Piping • Tee Shape Base w/ Removable Cap • Tee Shaped Couplings • Standard Couplings • Base Flange for Tower Support • Sealing Cap • Valve / Clamps • Release Level Clamps • Pressurizing Valve • Manual Isolation Valves • Sensors • Laser Sensors • Thermocouple Sensor • Multifunctional DAQ • Pump • Vacuum Pump • Digital Vacuum Gage • Fittings • Catch / Release • Release Platform • Polystyrene Beads for Deceleration • Other • Pulley System • Basket
Engineering Analysis • Gravity Calculations • % Error in gravity calculations • Drag Force Calculations • Tube Conductance • Pump down (evacuation) time • Ultimate Pressure Required • Critical Pressure for Tube Dimensions
Gravity Calculation with 1% Error • Constant Acceleration Equations • Assumes no air resistance / perfect vacuum • , where x is position and t is time • Assumes perfect Vacuum
Free Body Diagram of Object • Force Balance • At Terminal Velocity, acceleration = 0 • At Vacuum Pressure, drag force = 0 • , where a is downward (negative)
Drag Force (Air Resistance) • FD = Drag Force • ρ = Air Density • V = Velocity of Object • CD = Drag Coefficient (Fudge Factor) • A = Projected Area of Object • P = Air Pressure (Pa) • R = Specific Gas Constant = 287.05 J/kg*K • T = Air Temperature = 21°C = 274K
Conductance • The flow of air in a tube, at constant temperature, is dependent on the pressure drop as well as the cross sectional geometry. • , (Viscous Flow 760Torr 1Torr) • , (Molecular Flow 1Torr Vacuum) • C = Conductance (liters/sec) • F1 = Viscous Flow Scale Factor = 2950 • F2 = Molecular Flow Scale Factor = 78 • D = Pipe Diameter (in) • L = Pipe Length (in)
Effective Pump Speed • C = Conductance (cfm) • We assume that for Viscous Flow, = • = Given Pump Speed (cfm) • = Effective Pump Speed for Tube Dimensions • Example: Single 6” x 30’ Tube • (assumed)
Evacuation Time VP10D CPS Vacuum Pump 2 Stage Rotary Pump 15 micron Ultimate Vacuum Pump Speed – 10 cfm Price: $417.89 • = 760 Torr • = 1 Torr • = Final Pressure • Example: Single 6” x 30’ Tube • = 15 micron or 0.015 Torr • (assumed)
Pressure Requirement • The pressure required for accurate gravity calculations can be calculated using the previous equations and the following assumptions: • Max Tube Height = 12 meters • Constant Acceleration • Max Object Mass = 2.27 kg • Max Drag Coefficient = 2.0 • Max Projected Area = Cross Sectional Area for 10 cm Diameter • Allowable Error in Gravity due to Pressure = 0.01% • These assumptions yield an allowable pressure of 103 Pa (0.773 Torr or 773 microns)
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