This article is cited in 2 papers

Fourier method in the problem of small perturbations of colliding jets

E. A. Karabut<sup>ab

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

Abstract: Small unsteady perturbations of the solution of the known problem of a steady collision of two jets of an ideal incompressible fluid having identical velocities are studied. A discrete spectrum of the linear problem is found through direct calculations. It is demonstrated that the Fourier method is inapplicable because the eigenfunctions are not bounded.

Keywords: ideal incompressible fluid, free surface, stability in the linear approximation, method of separation of variables, numerical determination of the spectrum.

UDC: 532.59

Received: 09.09.2009

 English version: Journal of Applied Mechanics and Technical Physics, 2010, 51:6, 777–791

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