SUFFICIENCY PROOFS FOR THE PROBLEM OF THE OPTIMUM TRANSVERSAL CONTOUR.
Abstract
The problem of finding the transversal contour of a conical body of given length and base area which minimizes the total drag in hypersonic flow is considered under the assumptions that the pressure distribution is Newtonian and the skin-friction coefficient is constant. Both the case of a slender body and that of a nonslender body are investigated, and previous treatments concerned with the necessary conditions for the extremum are extended in that sufficiency proofs are developed. Specifically, three kinds of solutions exist: (1) circular arcs, (2) combinations of straight line segments tangent to a basic circle, and (3) combinations of circular arcs and straight line segments tangent to the circular arcs. Their minimality is proved without the use of the Jacobi condition of the calculus of variations by exploiting certain particular properties of the coefficients of the second variation for the problem under consideration. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1966
- Accession Number
- AD0479071
Entities
People
- Angelo Miele
- David G. Hull
Organizations
- Rice University