Transonic Airfoil Design

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Transonic Airfoil Design

• Mayank Patel and Keith Becker
• AE 4903
• Fall 2002

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Background

• Goal Design an airfoil to meet given
  specifications
• Use methods discussed in class to develop a
  design code.
• Run the design code to obtain desired airfoil

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Inverse Design Methodology

• Converted target Cp values to v2/v28
• Started with NACA 0012 Airfoil
• A?z Bd(?z)/dx Cd2(?z)/dx2 v2/v28 target
  v2/v28 present
• -- Solve MGM Eqn for ?zi (?zLE and ?zTE 0)
• Discretize MGM Equation (FD Schemes)
• Pick values for A,B,C (A1, B.5, C.07)
• Solve for ?zi using MATLAB
• Add ?zi to current y values ? New Airfoil
• Generate Ogrid around new airfoil and compute Cp
• Repeat Procedure until v2/v28 target v2/v28
  present ? 0

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Design Methodology Flowchart
Target Cp
Developed Code
Airfoil Data (CP.DAT)
Ogrid Generator
Full Potential Equation Solver
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Airfoil Comparison
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Cp Comparison
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Summary

• Developed a code for inverse airfoil design
• Ran code for 15 iterations
• Resulting airfoil shape and cp distribution very
  similar to NACA 4412
• Code can now be used to develop future transonic
  airfoil configurations

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References

• http//www.ae.gatech.edu/lsankar/AE3903
• Silva, D. H. Sankar, L.N. An Inverse Method for
  the Design of Transonic Wings, AIAA Paper
  92-1025.
• www.mathworks .com