An Aerodynamic Analysis of Deformed Wings in Subsonic and Supersonic Flow.
Abstract
The researh effort for the past year involved the development of theoretical prediction methods for the aerodynamic loading on a wing with a full span elevon. The methods are based on lifting surface kernel function formulations in both subsonic and supersonic potential flow. The unique idea in both cases is the closed form-finite summation manner in which the kernel function integral is solved. This method of solution avoides Mangler- and Cauchy-type singularity problems, encountered in classical numerical integration approaches, and leads to stable, rapidly convergent solutions. In subsonic flow, an existing kernel function method for planar wings was modified by adding and assumed pressure loading function to account for the presence of the elevon. The assumed pressure loading distribution led to exact closed form solutions for section and total coefficients on the wing; however, for the case of the deflected elevon, some numerical integration procedures were required. Results of these computations agree very well with experimental data. In the supersonic Mach number regime, a lifting kernel function method similar to the subsonic approach was developed for the planar wing case, but with appropriate Mach cone regions of integration taken into account. Various assumed pressure loading functions, all weighted by exact theoretical results, were required for different wing shapes. Numerical results produced stable (nonoscillatory) solutions which agreed well with experimental data, even for very low aspect ratio triangular wings. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1978
- Accession Number
- ADA052449
Entities
People
- James W. Purvis
- John E. Burkhalter
Organizations
- Auburn University