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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 3–20
(Mi pmtf1653)
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This article is cited in 2 scientific papers (total in 2 papers)
Fourier method in the problem of small perturbations of colliding jets
E. A. Karabutab a 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.
Received: 09.09.2009
Citation:
E. A. Karabut, “Fourier method in the problem of small perturbations of colliding jets”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010), 3–20; J. Appl. Mech. Tech. Phys., 51:6 (2010), 777–791
Linking options:
https://www.mathnet.ru/eng/pmtf1653 https://www.mathnet.ru/eng/pmtf/v51/i6/p3
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