Exakte Loesungen der ebenen gasdynamischen Gleichungen in Schallnaehe (Exact Solutions of the Two-Dimensional Gas Dynamic Equations in Transonic Flow,
DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V PORZ-WAHN (WEST GERMANY)
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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.
- Fluid Mechanics