THE CALCULUS OF VARIATIONS IN APPLIED AERODYNAMICS AND FLIGHT MECHANICS

Abstract

The use of the calculus of variations techniques in applied aerodynamics is reviewed with particular regard to the determination of the geometry of the slender body of revolution having minimum pressure drag in Newtonian flow as well as of the two-dimensional wing having minimum pressure drag in linearized supersonic flow. Also, the use of variational techniques in flight mechanics is reviewed with particular regard to the determination of the optimum paths for a rocket vehicle flying in either a vacuum or a resisting medium. Discontinuous solutions are discussed and the use of the switching function for predicting the composition of the extremal arc is demonstrated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0267359

Entities

People

  • Angelo Miele

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Aerodynamics
  • Bodies
  • Calculus
  • Calculus Of Variations
  • Flow
  • Fluid Dynamics
  • Geometric Forms
  • Geometry
  • Mathematics
  • Mechanics
  • Revolutions
  • Slender Bodies
  • Supersonic Flow
  • Switching
  • Two Dimensional

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.
  • Fluid Dynamics.

Technology Areas

  • Hypersonics