UNIFORM SECOND-ORDER SOLUTION FOR SUPERSONIC FLOW OVER DELTA WING USING REVERSE-FLOW INTEGRAL METHOD,

Abstract

The problem of supersonic flow over an inclined flatplate delta wing with supersonic edges is solved to second order in incidence. This solution for surface pressure is uniform and fully analytic. The approach utilizes a reverse-flow integral method previously developed for secondorder problems. This method is augmented by a number of techniques appropriate to its framework. The simplification over standard techniques acgieved by using these reverse-flow methods is quite substantial and makes the problem tractible. Reverse-flow procedures give a volume-surface integral relation that connects the second-order forward flow over the body of interest with the linearized reverse-flow over a related body. A singular integral equation is generated from the integral relation by introducing the edge sweep of the reverse-flow wing as a free parameter. An inversion is available which gives the second-order solution on the surface of the wing. The solution is then made uniformly valid using techniques previously developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0419927

Entities

People

  • James Wallace
  • Joseph H. Clarke

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Contracts
  • Delta Wings
  • Equations
  • Flow
  • Integral Equations
  • Integrals
  • Inversion
  • Mathematics
  • Secondary Flow
  • Standards
  • Supersonic Flow

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers