AERODYNAMICS OF SUPERSONIC WINGS AND BODIES OSCILLATING AT HIGH FREQUENCY.
Abstract
Asymptotic solutions are obtained for the un steady pressure on wings and bodies that oscil late harmonically at high frequencies while in supersonic flight. The solutions have the form of series in descending powers of the frequency, and they include effects of three-dimensional flow and second-order effects due to the thick ness of the wing or the body. In the derivation, the oscillatory part of the flow is regarded as a perturbation superimposed on the steady isen tropic flow past the wing or body in the mean position, and a method of eikonal representation is applied to the differential equations and boundary conditions of the oscillatory flow. The results consist of (a) the first two terms of the series for three-dimensional wings with supersonic trailing edges andlongated pointed bodies, (b) the first three terms of the series for supersonic two-dimensional airfoils, and (c) the first four terms for very slender wings and bodies. The solutions (a) and (b) give the oscillatory pressure to the second order in thickness when the steady-flow distribution on the surface is known to this order from available theories or from experiment. The leading terms of the solutions coincide with the piston ap proximation while the higher terms depend directly on the curvatures of the surface. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 31, 1963
- Accession Number
- AD0413761
Entities
People
- M. Hanin
Organizations
- Technion – Israel Institute of Technology