SUPERSONIC STEADY AND UNSTEADY FLOWS OVER SLENDER AXISYMMETRIC BODIES WITH CONTINUOUS OR DISCONTINUOUT SURFACE SLOPES, PART I,

Abstract

The report contains the first part of an investigation aimed at finding methods for calculating steady and unsteady inviscid flows past slender three-dimensional bodies of general shape, with continuous or discontinuous slope, but with continuous cross-sectional area. The method is an extension of an approximation proposed by Lighthill (1948) in which the solution is based on the solution of Laplace transformed potential equation and is expressed by Bessel functions. Several characteristic functions, which lead to combinations of Bessel functions, were introduced and calculated. Considered are cases of axial steady flow and cross-flow past a body with discontinuities in slope, as well as unsteady flows for Mach numbers high enough so that it is possible to assume that B squared = (M squared - 1) nearly equal to M squared. The latter investigation induces flows with general unsteady boundary conditions, the body with a harmonically vibrating surface and the gust entry problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1965
Accession Number
AD0630425

Entities

People

  • Jerzy J. Kacprzynski

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Bessel Functions
  • Boundaries
  • Cross Flow
  • Discontinuities
  • Equations
  • Flow
  • Fluid Flow
  • Inviscid Flow
  • Mach Number
  • Steady Flow
  • Three Dimensional
  • Unsteady Flow

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight