Accession Number:

AD0811925

Title:

DRAG MINIMIZATION AS THE EXTREMIZATION OF PRODUCTS OF POWERS OF INTEGRALS,

Descriptive Note:

Corporate Author:

RICE UNIV HOUSTON TX AERO-ASTRONAUTICS GROUP

Personal Author(s):

Report Date:

1967-01-01

Pagination or Media Count:

41.0

Abstract:

The paper considers the minimization of the pressure drag of an axisymmetric body in Newtonian hypersonic flow and a two-dimensional airfoil in Newtonian hypersonic flow or linearized supersonic flow. If suitable nondimensional coordinates are employed, that is, if the abscissa and the ordinate are respectively normalized in terms of a reference length and a reference thickness, the pressure drag can be expressed in terms of the products of the powers of several nondimensional integrals depending on the pressure law employed and the constraints considered in the optimization process. A general procedure is presented for solving the associated variational problem for several pairs of constraints imposed on either bodies or wings. For an axisymmetric body, the constraints considered are those of given length, thickness, wetted area, and volume. For a two-dimensional wing, the constraints considered are those of given length, thickness, profile area, and moment of inertia of the contour. Author

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE