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Alex Woods March 20 Aerothermodynamics Group Force Model Walkthrough

Alex Woods March 20 Aerothermodynamics Group Force Model Walkthrough. Linear Perturbation. Forces are found by an integration of pressure distribution over the launch vehicle exterior Integrations are done numerically within the code Phi is the geometric angle w/respect to the freestream

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Alex Woods March 20 Aerothermodynamics Group Force Model Walkthrough

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  1. Alex WoodsMarch 20AerothermodynamicsGroupForce Model Walkthrough

  2. Linear Perturbation • Forces are found by an integration of pressure distribution over the launch vehicle exterior • Integrations are done numerically within the code • Phi is the geometric angle w/respect to the freestream • S is a reference area, taken to be the area of the base of the launch vehicle • Validated by comparison to Vanguard results and other related geometries

  3. Important Assumptions in Theory • Small changes in geometry • Small angle of attack ~ 0 – 14 degrees • Valid for subsonic or supersonic flow 0 < M < 0.88 1.12 < M < 5 • Axial force neglects viscous effects

  4. Stresses due to Aerodynamic Force • Shear Stress • Differential of Normal Force between stages • Axial Loading • A*q∞*S • Bending Moment • Picture by Jayme Zott and Alex Woods

  5. Pictures

  6. Pictures

  7. References • Ashley, Holt, Engineering Analysis of Flight Vehicles, Dover Publications Inc., New York, 1974, pp. 303-312 • Anderson, John D., Fundamentals of Aerodynamics, Mcgraw-Hill Higher Education, 2001 • Professor Colicott, in reference to linearized theory applications

  8. References Continued • Barrowman, James and Barrowman, Judith, "The Theoretical Prediction of the Center of Pressure" A NARAM 8, August 18, 1966. www.Apogeerockets.com • Klawans, B. and Baughards, J. "The Vanguard Satellite Launching Vehicle - an engineering summary" Report No. 11022, April 1960 • Morrisette, E. L., Romeo D. J., “Aerodynamic Characteristics of a Family of Multistage Vehicles at a Mach Number of 6.0”, NASA TN D-2853, June 1965

  9. References Continued (2) • Professor Williams, concerning the use of pressure coefficients to determine aerodynamic forces • The entire Aerothermodynamics group for their invaluable help and support

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