Accession Number : ADA193773

Title :   An Integral Equation for the Linearized Unsteady Supersonic Flow Over a Wing.

Descriptive Note : Final rept. May 86-Aug 87,

Corporate Author : DAYTON UNIV OH RESEARCH INST

Personal Author(s) : Guderley, Karl G

PDF Url : ADA193773

Report Date : Dec 1987

Pagination or Media Count : 79

Abstract : This report derives an integral equation for the linearized supersonic unsteady potential flow over a wing. Every integral equation formulation for a problem that appears originally in the form of a partial differential equation presupposes the availability of a fundamental solution. Such a fundamental solution is available for the problem at hand in the literature. It is rederived here to show its particular properties. The integral equation originally obtained requires hat one carry out a limiting process in which one approaches the planform from above or below. This formulation is brought into a form in which this limiting process no longer appears and one works solely with information available at the planform. Examples which can be treated analytically bring some properties which have a bearing on a numerical approach into sharper focus. Keywords: Time dependent, Linearized potential flow, Integral equation, Fundamental solutions, Unsteady aerodynamics.

Descriptors :   *SUPERSONIC FLOW, *UNSTEADY FLOW, *WINGS, AERODYNAMIC CHARACTERISTICS, FORMULATIONS, INTEGRAL EQUATIONS, LIMITATIONS, LINEARITY, NUMERICAL METHODS AND PROCEDURES, PARTIAL DIFFERENTIAL EQUATIONS, PLANFORM, POTENTIAL FLOW

Subject Categories : Fluid Mechanics
      Aerodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE