The Integral Equation for the Time Dependent Linearized Potential Flow Over a Wing.
Abstract
This report derives the integral equation for the linearized potential flow over a planar wing which may undergo time dependent deformations. Rigid body motions of the wing are of course included. The final goal is the determination of the time dependent pressure distribution. This report is, however, restricted to the derivation of the formulae necessary for this purpose. For the problem at hand fundamental solutions are available which obviates the need to solve the underlying partial differential equation. The potential is expressed by a distribution of time dependent doublets, initially unknown, over the planform and its wake. The integral equation arises, in principle, by equating the upwash at the wing due to this doublet distribution with the values derived from the wing deformation. The kernel of this integral equation contains singularities which make this formulation unsuitable for numerical work. This report removes this impediment. Keywords: Subsonic time dependent flow; unsteady aerodynamics.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1986
- Accession Number
- ADA176684
Entities
People
- Karl G. Guderley
- Maxwell Blair
Organizations
- University of Dayton