Transonic unsteady potential flow: Scaling analysis of linear and nonlinear dynamics


Journal Article

Scaling analysis of linear and nonlinear dynamics theory is applied to study transonic unsteady potential flow of a limit cycle oscillations of the F-16 aircraft. The governing field equation for the aerodynamic velocity potential in transonic unsteady potential nonlinear flow for thin airfoils undergoing small motions are established. The scaling analysis supports the conclusions reached by numerical computations and flight experiments regarding the inability of inviscid potential-flow models to predict limit cycle oscillations (LCO). It is also found that inviscid potential-flow-models is useful in predicting the conditions for the onset of LCO. The governing equations of transonic small disturbance potential-flow theory are usually derived by other methods, they may be deduced from full potential-flow theory by scaling analysis.

Full Text

Duke Authors

Cited Authors

  • Dowell, EH

Published Date

  • May 1, 2010

Published In

Volume / Issue

  • 48 / 5

Start / End Page

  • 1017 - 1019

International Standard Serial Number (ISSN)

  • 0001-1452

Digital Object Identifier (DOI)

  • 10.2514/1.40426

Citation Source

  • Scopus