An Alternative Formulation of the Lifting Line Wing Equation and Its Solution.

Abstract

In the report, the standard wing equation, as normally derived from lifting line theory, is further refined and a solution procedure more basic than the usual collocation technique is developed. The calculation method adopted avoids the necessity of performing an explicit matrix inversion; all equations can be solved sequentially, one at a time. On the other hand this technique involves the evaluation of numerous integrals over the span. The calculations are cumulative, and can be carried as far as necessary to achieve any required degree of accuracy. The analysis is interesting not only for purposes of practical calculation but also for the light it sheds on the essential mathematical structure of the basic aerodynamic phenomena involved. This same general method of calculation can also be readily adapted to the solution of other common types of engineering problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1973
Accession Number
AD0771981

Entities

People

  • Theodore H. Gawain

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Engineering
  • Equations
  • Integrals
  • Inversion
  • Standards

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Systems Analysis and Design