Three-dimensional analog of Prandtl–Meyer waves

A. P. Chupakhin^a, Zh. A. Shakhmetova<sup>b

a</sup> Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090

Abstract: This paper studies the regular partially invariant solution of the equations of gas dynamics which extends the Prandtl–Meyer solutions to the three-dimensional case. All singular manifolds of the third-order dynamic system that defines the solution are found, and its compactification is constructed.

Keywords: equations of gas dynamics, dynamic system, singular manifolds.

UDC: 533; 517.958

Received: 26.11.2004

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:5, 645–651

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