NOSE AND INLET SHAPES OF MINIMUM DRAG IN SUPERSONIC FLOW

Abstract

The classical problem of determining the shape of the forepart of an axial-symmetric body which, at given length and fineness ratio has minimum pressure drag, is usually solved by simplifying the flow equations. By making a suitable choice of the control surface for mass flow and momentum, a one-dimensional variational problem is obtained. The complicated system of differential equations that results is reduced to tolerable size by introducing a modification of an idea due to G. V. Rao who found in a similar system that part of the problem is soluable in closed form. The particular solutions thus obtained satisfy the boundary conditions nearly perfectly. The method is modified to take into account the known fact that an axial-symmetric body of minimum drag should have a blunt nose. The analysis develops the basic ideas underlying the formulation of the problem, describes the results in general, and shows computed inlet and closed body contours. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0276819

Entities

People

  • Emma M. Valentine
  • John V. Armitage
  • Karl G. Guderley

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Bodies
  • Boundaries
  • Control Surfaces
  • Differential Equations
  • Equations
  • Fineness Ratio
  • Flow
  • Mass
  • Mass Flow
  • Momentum
  • Physical Properties
  • Supersonic Flow
  • Surfaces

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Systems Analysis and Design

Technology Areas

  • Hypersonics