team 18: design optimization of a supersonic nozzle marc linares project coordinator alessandro...
TRANSCRIPT
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Team 18: Design Optimization of a Supersonic Nozzle
Marc LinaresProject Coordinator
Alessandro Ciampitti Optimization Engineer
Marco RobainaCFD Engineer
Advisor: Prof. George S. Dulikravich
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Design Optimization of a Supersonic Nozzle
http://www.colorado.edu/MCEN/cmes/czajkowski/gallery/slender_0.075_density.png
De Laval nozzle
Convergent Section Throat Divergent Section
M < 1 M = 1 M > 1
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Timeline for Presentation
• Problem Statement
• Applications
• Optimization Goals
• Design Considerations
• Software Methods
• Manufacturing
• Validation
• Project Timeline
• Conclusion
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Problem Statement
➢Non-uniformities of the flow at the nozzle exit due to upstream conditions & gradients
o Pressureo Temperatureo Densityo Speed
➢Shock wave development inside nozzle o Difference of inlet stagnation pressure and exit pressure
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Applications
Rocket Propulsion Wind Tunnel
http://tfm.usc.edu/uploads/articles/6711/img_6347_sp12_b-crop__full.jpg http://www.coe.montana.edu/me/faculty/george/The%20SWT%20story_rev01_files/image006.jpg
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Motivation
➢ Supersonic wind tunnel test facilities improvements➢ Optimized nozzle shape can maximize thrust force➢ Ø
➢ Many countries are developing space programs➢ Optimized nozzle will have minimum length & weight
Global Approach
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Optimization Goals
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Minimize
Flow Separation
Avoid Shock Wave
DevelopmentBack Flow
Divergent Section Length
Weight Cost
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Maximize
Exit Mach Number
Exit Velocity
Thrust Force
Exit Flow Uniformity
Exit-to-Throat Area Ratio
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Design Considerations• 2-D/3-D flow
• Isentropic Quasi-One dimensional
• Euler equations non-viscous flow
• Navier-Stokes equations viscous turbulent flow
• Chemical properties are not considered
• Shock wave location
• Compressible flow
• Nozzle selection (feasibility)
thttp://www.jacobsrocketry.com/general/graphics/de_leval.JPG
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Design Alternative 1: Conical
• Simple Design (feasibility)
• Manufacturing
• Simulation
• Optimization
• Constant half angle at divergent section
• Velocity components in flow
http://www.tecaeromex.com/imagenes/tobera3.jpg
http://www.braeunig.us/space/pics/fig1-04.gif
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Design Alternative 2: Bell
• Most commonly used design
• Parabolic cone shape
• Half angle constantly changes
• Shorter length
• Efficient at design exit pressure
http://cs.astrium.eads.net/sp/launcher-propulsion/manufacturing/images/ht-vulcain.jpg bell nozzle
http://www.braeunig.us/space/pics/fig1-05.gif
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Design Alternative 3: Dual Bell
• Most difficult design of the three
• Altitude compensation (Ambient Pressure)
• Higher pressure: Wall inflection separates flow
• Lower pressure: Flow through entire geometry
• Higher overall efficiency for changes in pressure
• Lower efficiency at optimal pressurehttp://www.kspc.jaxa.jp/japanese/image/reserch/fun_03.jpg
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Software Modules Involved
Geometric Shape & Grid
CFD AnalysisResponse Surface &
Optimization
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Modeling
● SolidWorks/ANSYS
○ Initial Designs (from previous
work/designs)
○ Final Design (from optimization)
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CFD Analysis
● LOCI
○ 2-D/3-D flow analysis
○ Hot flow/cold flow
http://flowsquare.com/wp-content/uploads/2013/12/Laval_Mach_04k.png
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Optimization Process
● ModeFrontier
○ Optimization of nozzle parameters
● Response Surface
● Evolutionary Based Algorithm
○ Particle Swarm (PS)
● Optimal Solution
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Manufacturing
• Dimensional Analysis (small scale)• True scale versus model
• Plexiglas design
• Alternative Materials being considered
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Relevant Standards
• AS 9100 Quality management of aerospace industry• Created by SAE
– Society of Automotive Engineers
• ASME Y14.5
• Many standards are proprietary
http://spaceflight.nasa.gov/gallery/images/station/crew-10/html/jsc2004e45198.html
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Validation
• Cold flow testing to be conducted with a compressed air cylinder
• Measuring devices:• Thermocouples• Pressure gauge
http://www.harborfreight.com/media/catalog/product/cache/1/image/9df78eab33525d08d6e5fb8d27136e95/i/m/image_23181.jpg
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Project Timeline & Responsibilities
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Summary: 8 Month Capstone Project Develop a system for better performing supersonic nozzles
Maximizing
• Mach Number & Flow Uniformity Minimizing
• Divergent Length & Flow Separation
Use of different software programs Analysis & Optimization
Manufacturing & Testing Standards Cold gas
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