Accession Number:

AD0733593

Title:

Exakte Loesungen der ebenen gasdynamischen Gleichungen in Schallnaehe (Exact Solutions of the Two-Dimensional Gas Dynamic Equations in Transonic Flow,

Descriptive Note:

Corporate Author:

DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V PORZ-WAHN (WEST GERMANY)

Personal Author(s):

• Sobieczky,Helmut E.

Report Date:

1970-03-02

Pagination or Media Count:

18.0

Abstract:

By means of a Beltrami transformation of the coordinates to new variable, the system of the gas-dynamic equation and the equation for irrotation becomes a Cauchy-Riemann system. Solutions of the Cauchy-Riemann system for the velocity functions as well as of the Beltrami system for the coordinates are given and can be superimposed due to the linearity of the systems. Thus, a number of so far known transonic flows and a number of new ones can be represented in a simple manner.

Descriptors:

• *TRANSONIC FLOW
• MATHEMATICAL ANALYSIS
• EQUATIONS OF MOTION
• CAUCHY PROBLEM
• TWO DIMENSIONAL FLOW
• TRANSFORMATIONS(MATHEMATICS)
• VELOCITY
• FUNCTIONS
• WEST GERMANY

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE